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Journal articles on the topic 'Non-inertial frames'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Condurache, Daniel, Mihail Cojocari, and Ionuț Popa. "About a Classical Gravitational Interaction in a General Non-Inertial Reference Frame: Applications on Celestial Mechanics and Astrodynamics." Symmetry 17, no. 3 (2025): 368. https://doi.org/10.3390/sym17030368.

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This paper offers new insights into gravitational interactions within a general non-inertial reference frame. By utilizing symbolic tensor calculus, the study establishes a unified framework that connects time derivatives in non-inertial frames to those in inertial frames. The research introduces new first integrals of motion for a system of many particles in arbitrary non-inertial and barycentric rotating reference frames. These first integrals provide a kinematic and geometric visualization of motion in non-inertial frames. Additionally, a generalized potential energy function is presented f

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2

Papini, Giorgio. "Spin currents in non-inertial frames." Physics Letters A 377, no. 13 (2013): 960–63. http://dx.doi.org/10.1016/j.physleta.2013.02.032.

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3

Metwally, Nasser, and Alaa Sagheer. "Quantum coding in non-inertial frames." Quantum Information Processing 13, no. 3 (2013): 771–80. http://dx.doi.org/10.1007/s11128-013-0688-4.

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4

Miao-Fu, He, and Huang Cheng. "Realization of the Local Inertial Geocentric Frame in Relativity." Symposium - International Astronomical Union 141 (1990): 430. http://dx.doi.org/10.1017/s0074180900087210.

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There are two kinds of geocentric frames: local inertial and non-inertial geocentric frames. Ashby et al successfully constructed a local inertial geocentric frame in the neighborhood of the gravitating Earth. In the frame with origin at the Earth's center, the gravitational effects of the sun and of planets other than the Earth are basically reduced to their tidal forces, with very small relativistic corrections.However, the spatial base vectors of the local inertial frame essentially experience the geodesic (or deSitter) precession with respect to the solar system barycentric frame. Hence th

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5

Wang, Long-Fei, Ming-Ming Du, and Liu Ye. "Protecting quantum coherence in an open system under non-inertial frames." Modern Physics Letters B 31, no. 35 (2017): 1750336. http://dx.doi.org/10.1142/s0217984917503365.

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In this paper, we explore the dynamics and protection of quantum coherence in an open system under non-inertial frames by weak measurement and reversal, and design four strategies to protect the quantum coherence of an initial two-qubit entangled state, when the systems suffer from amplitude damping (AD) channel and one subsystem is under non-inertial frames. In practice, there is no strict inertial frames, decoherence and degradation of the quantum coherence caused by the Unruh effect form acceleration will have a significant interaction, therefore it is important to find some means to protec

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6

Crater, Horace W., and Luca Lusanna. "Non-inertial frames in Minkowski space-time, accelerated either mathematical or dynamical observers and comments on non-inertial relativistic quantum mechanics." International Journal of Geometric Methods in Modern Physics 11, no. 10 (2014): 1450086. http://dx.doi.org/10.1142/s0219887814500868.

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After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz transformations as suggested by the locality principle. These non-inertial frames have non-Euclidean 3-spaces and contain the differentially rotating ones in Euclidean 3-spaces as a subcase. Then we discuss how to replace mathematical accelerated observers with dynamical ones (their world-lines belong to interacting particles in an isolated system) and how to

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7

Moreno, M., and J. A. del Río. "Quantum mechanics for non-inertial reference frames." European Journal of Physics 42, no. 4 (2021): 045405. http://dx.doi.org/10.1088/1361-6404/abfd3d.

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8

Lee, Jeffrey S., and Gerald B. Cleaver. "The relativistic blackbody spectrum in inertial and non-inertial reference frames." New Astronomy 52 (April 2017): 20–28. http://dx.doi.org/10.1016/j.newast.2016.10.003.

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9

Lee, Jeffrey S., and Gerald B. Cleaver. "Relativistic drag and emission radiation pressures in an isotropic photonic gas." Modern Physics Letters A 31, no. 19 (2016): 1650118. http://dx.doi.org/10.1142/s0217732316501182.

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By invoking the relativistic spectral radiance, as derived by Lee and Cleaver,1 the drag radiation pressure of a relativistic planar surface moving through an isotropic radiation field, with which it is in thermal equilibrium, is determined in inertial and non-inertial frames. The forward- and backward-directed emission radiation pressures are also derived and compared. A fleeting (inertial frames) or ongoing (some non-inertial frames) Carnot cycle is shown to exist as a result of an intra-surfaces temperature gradient. The drag radiation pressure on an object with an arbitrary frontal geometr

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10

Zhou, Tao. "Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity." Universe 8, no. 12 (2022): 659. http://dx.doi.org/10.3390/universe8120659.

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In general relativity, an inertial frame can only be established in a small region of spacetime, and local inertial frames are mathematically represented by a tetrad field in gravity. The tetrad field is not unique due to the freedom to perform Lorentz transformations in local inertial frames, and there exists freedom to choose the local inertial frame at each spacetime point. The local Lorentz transformations are known as non-Abelian gauge transformations for the tetrad field, and to fix the gauge freedom corresponding to the Lorentz gauge ∂μAμ=0 and the Coulomb gauge ∂iAi=0 in electrodynamic

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11

Liu, Gordon. "An Alternative Theory on the Spacetime of Non-inertial Reference Frame." Applied Physics Research 9, no. 5 (2017): 90. http://dx.doi.org/10.5539/apr.v9n5p90.

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In present paper, we have proposed an alternative theory on the spacetime of non-inertial reference frame (NRF) which bases on the requirement of general completeness (RGC) and the principle of equality of all reference frames (PERF). The RGC is that the physical equations used to describe the dynamics of matter and/or fields should include the descriptions that not only the matter and/or fields are at rest, but also they move relative to this reference frame, and the structure of the spacetime of reference frame has been considered. The PERF is that any reference frame can be used to describe

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12

Doukas, Jason, Gerardo Adesso, Stefano Pirandola, and Andrzej Dragan. "Discriminating quantum field theories in non-inertial frames." Classical and Quantum Gravity 32, no. 3 (2015): 035013. http://dx.doi.org/10.1088/0264-9381/32/3/035013.

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13

Haddout, Soufiane. "Motion of a Point Mass in a Rotating Disc: A Quantitative Analysis of the Coriolis and Centrifugal Force." Journal of Theoretical and Applied Mechanics 46, no. 2 (2016): 83–96. http://dx.doi.org/10.1515/jtam-2016-0012.

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Abstract In Newtonian mechanics, the non-inertial reference frames is a generalization of Newton’s laws to any reference frames. While this approach simplifies some problems, there is often little physical insight into the motion, in particular into the effects of the Coriolis force. The fictitious Coriolis force can be used by anyone in that frame of reference to explain why objects follow curved paths. In this paper, a mathematical solution based on differential equations in non-inertial reference is used to study different types of motion in rotating system. In addition, the experimental da

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14

Kamalov, T. F., and Yu T. Kamalov. "Physics of Non-Inertial Reference Frames, conclusions and consequences." Journal of Physics: Conference Series 3017, no. 1 (2025): 012020. https://doi.org/10.1088/1742-6596/3017/1/012020.

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Abstract Refusal to use inertial reference frames in favor of non-inertial reference frames means significant changes in the axiomatics of both classical and quantum physics. Taking into account the influences of random small forces and fields makes the equations of classical physics, expanding, subject not only to deterministic laws, but also expands the equations of classical physics with additional variables that have an indeterministic, probabilistic behavior. Extending the scope of consideration of physical systems to non-inertial frames of reference leads to the already well-known new fi

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15

Zhang, Yongjian, Lin Wang, Guo Wei, and Chunfeng Gao. "Polar Region Integrated Navigation Method Based on Covariance Transformation." Applied Sciences 11, no. 20 (2021): 9572. http://dx.doi.org/10.3390/app11209572.

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Aircraft flying the trans-arctic routes usually apply inertial navigation mechanization in two different navigation frames, e.g., the local geographic frame and the grid frame. However, this change of navigation frame will cause filter overshoot and error discontinuity. To solve this problem, taking the inertial navigation system/global navigation satellite system (INS/GNSS) integrated navigation system as an example, an integrated navigation method based on covariance transformation is proposed. The relationship of the system error state between different navigation frames is deduced as a mea

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16

Piao, Min-Zhe, and Xin Ji. "Quantum decoherence under phase damping in non-inertial frames." Journal of Modern Optics 59, no. 1 (2012): 21–25. http://dx.doi.org/10.1080/09500340.2011.620714.

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17

Silin, I., and R. Sydora. "Hybrid Fourier–Vlasov simulation in non-inertial reference frames." Computer Physics Communications 182, no. 12 (2011): 2508–18. http://dx.doi.org/10.1016/j.cpc.2011.07.008.

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18

Biscari, Paolo, and Carlo Cercignani. "Stress and heat flux in non-inertial reference frames." Continuum Mechanics and Thermodynamics 9, no. 1 (1997): 1–11. http://dx.doi.org/10.1007/s001610050051.

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19

Esmaeilifar, Leili, Zeynab Harsij, and Behrouz Mirza. "Entanglement of Semi-Bell States in Non-Inertial Frames." International Journal of Theoretical Physics 58, no. 12 (2019): 4152–69. http://dx.doi.org/10.1007/s10773-019-04281-7.

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20

Park, DaeKil. "Tripartite entanglement-dependence of tripartite non-locality in non-inertial frames." Journal of Physics A: Mathematical and Theoretical 45, no. 41 (2012): 415308. http://dx.doi.org/10.1088/1751-8113/45/41/415308.

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21

Lee, Jeffrey S., and Gerald B. Cleaver. "Ultra-relativistic thermodynamics and aberrations of the cosmic microwave background radiation." Modern Physics Letters A 30, no. 09 (2015): 1550045. http://dx.doi.org/10.1142/s0217732315500455.

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Ultra-relativistic inertial and non-inertial reference frames would be subjected to a forward-directed heat bath from the Lorentz transformed temperature of the Cosmic Microwave Background (CMB) radiation. Although the Lorentz transformations of heat and temperature continue to be unresolved issues in the literature,1–6 this paper makes use of occupation number (number density of occupied states per phase space element) to support a Lorentz factor inflation of the rest frame temperature. Additionally, Doppler Boosting is examined.

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22

Bogdanova, Sof’ya B., and Sergey O. Gladkov. "On the trajectories of bodies in non-inertial reference frames. Part II." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 91 (2024): 51–60. http://dx.doi.org/10.17223/19988621/91/5.

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This paper provides a detailed solution to the problem of determining the trajectories of body motion in non-inertial frames of reference. The problem is solved in the basis τ, n, b moving along a given spatial curve. The orts of the basis are the vectors of the tangent τ, principal normal n, and binormal b to the curve. The motion of the noninertial frame of reference completely determines the vector of translational motion along the curve R0 (t) with velocity v( )t R t = 0 ( ) τ and the Darboux vector of angular rotation ω τ b =  + K . The curvature K and torsion χ are specified by the curv

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23

Barbosa, Leonardo G., Luis C. N. Santos, João V. Zamperlini, Franciele M. da Silva, and Celso C. Barros. "Charged Scalar Boson in Melvin Universe." Universe 11, no. 6 (2025): 193. https://doi.org/10.3390/universe11060193.

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This work investigates the dynamics of a charged scalar boson in the Melvin universe by solving the Klein–Gordon equation with minimal coupling in both inertial and non-inertial frames. Non-inertial effects are introduced through a rotating reference frame, resulting in a modified spacetime geometry and the appearance of a critical radius that limits the radial domain of the field. Analytical solutions are obtained under appropriate approximations, and the corresponding energy spectra are derived. The results indicate that both the magnetic field and non-inertial effects modify the energy leve

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24

Alba, David, Horace W. Crater, and Luca Lusanna. "On the relativistic micro-canonical ensemble and relativistic kinetic theory for N relativistic particles in inertial and non-inertial rest frames." International Journal of Geometric Methods in Modern Physics 12, no. 04 (2015): 1550049. http://dx.doi.org/10.1142/s0219887815500498.

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A new formulation of relativistic classical mechanics allows a reconsideration of old unsolved problems in relativistic kinetic theory and in relativistic statistical mechanics. In particular a definition of the relativistic micro-canonical partition function is given strictly in terms of the Poincaré generators of an interacting N-particle system both in the inertial and non-inertial rest frames. The non-relativistic limit allows a definition of both the inertial and non-inertial micro-canonical ensemble in terms of the Galilei generators.

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25

Bogdanova, Sof’ya B., and Sergey O. Gladkov. "On the trajectories of bodies in non-inertial reference frames." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 84 (2023): 68–80. https://doi.org/10.17223/19988621/84/6.

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This paper considers a trajectory of the body moving under the influence of the force F in a non-inertial reference frame (NRF), which is "tied" to a given curve y = y(x) and is described by a natural movable basis τ-n. For this NRF, a system of linear differential equations is obtained to simulate various types of trajectories resulting from the action of certain forces. The common Cartesian coordinate system is chosen as a fixed basis i-j. Several examples of motion along the given trajectories y = y(x) are considered with gravity as an acting force F. For these specific cases, the analytic

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26

Alba, David, and Luca Lusanna. "Dust in the York canonical basis of ADM tetrad gravity: The problem of vorticity." International Journal of Geometric Methods in Modern Physics 12, no. 07 (2015): 1550076. http://dx.doi.org/10.1142/s0219887815500760.

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Brown's formulation of dynamical perfect fluids in Minkowski space-time is extended to ADM tetrad gravity in globally hyperbolic, asymptotically Minkowskian space-times. For the dust, we get the Hamiltonian description in closed form in the York canonical basis, where we can separate the inertial gauge variables of the gravitational field in the non-Euclidean 3-spaces of global non-inertial frames from the physical tidal ones. After writing the Hamilton equations of the dust, we identify the sector of irrotational motions and the gauge fixings forcing the dust 3-spaces to coincide with the 3-s

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27

Condurache, Daniel, and Eugen Șfartz. "Exact Closed-Form Solutions of the Motion in Non-Inertial Reference Frames, Using the Properties of Lie Groups SO3 and SE3." Symmetry 13, no. 10 (2021): 1963. http://dx.doi.org/10.3390/sym13101963.

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The paper offers a general symbolic method to study the motion in a non-inertial reference frame. In order to achieve this, we use the algebraic and geometric properties of the Lie group of special orthogonal tensors, SO3, and the Lie group of the rigid body displacements, SE3. We obtain a simplified form of the initial value problem that models the non-inertial motion using a tensor instrument introduced in this paper. Thus, the study of the motion in a non-inertial reference frame is transferred into the study of a classical motion in an inertial reference frame. The applications of this met

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28

Kim, Kwang-Il, Myong Chol Pak, Son A. Kim, Jin Ju Ri, and Tae-Hyok Kim. "Decoherence of GHZ state under three noisy channels in non-inertial frames." International Journal of Modern Physics B 35, no. 20 (2021): 2150209. http://dx.doi.org/10.1142/s021797922150209x.

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In this paper, we investigate the decoherence of GHZ state under three noisy channels in non-inertial frames. The phase flip, the bit flip and the phase damping channels are considered as noisy channels, respectively. By using three-tangle [Formula: see text] as the measurement of entanglement, we numerically calculate the genuine tripartite entanglement of GHZ state under noisy environments in non-inertial frames. Unlike the case of phase damping channel, in the cases of the phase flip and the bit flip ones, we find that the effect of environment cannot only decay the genuine tripartite entan

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29

Seo, Jongwoo, and Sang Wan Lee. "Neural Network-Based Intuitive Physics for Non-Inertial Reference Frames." IEEE Access 9 (2021): 114246–54. http://dx.doi.org/10.1109/access.2021.3103876.

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30

Takagi, S. "Quantum Dynamics and Non-Inertial Frames of Reference. I: Generality." Progress of Theoretical Physics 85, no. 3 (1991): 463–79. http://dx.doi.org/10.1143/ptp/85.3.463.

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31

Ling, Yi, Song He, Weigang Qiu, and Hongbao Zhang. "Quantum entanglement of electromagnetic field in non-inertial reference frames." Journal of Physics A: Mathematical and Theoretical 40, no. 30 (2007): 9025–32. http://dx.doi.org/10.1088/1751-8113/40/30/024.

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32

Khan, Salman. "Entanglement of tripartite states with decoherence in non-inertial frames." Journal of Modern Optics 59, no. 3 (2012): 250–58. http://dx.doi.org/10.1080/09500340.2011.625476.

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33

Boyer, Timothy H. "Contrasting Classical and Quantum Vacuum States in Non-inertial Frames." Foundations of Physics 43, no. 8 (2013): 923–47. http://dx.doi.org/10.1007/s10701-013-9726-4.

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34

Velasco–Villa, M., A. Rodriguez–Angeles, I. Z. Maruri–López, J. A. Báez-Hernández, and R. D. Cruz Morales. "Leader–follower formation control based on non-inertial frames for non–holonomic mobile robots." PLOS ONE 19, no. 1 (2024): e0297061. http://dx.doi.org/10.1371/journal.pone.0297061.

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A chain formation strategy based on mobile frames for a set of n differential drive mobile robots is presented. Considering two consecutive robots in the formation, robots Ri and Ri+1. It is intended that robot Ri+1 follows the delayed trajectory, τ units of time, of the leader robot Ri. In this way, the follower robot Ri+1 becomes the leader robot for robot Ri+ 2 in the formation and so on. With this formation policy, the trailing distance between two consecutive robots varies accordingly to the velocity of the Ri leader robot. Mobile frames are located on the body of the vehicles, in such a

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35

Ulhoa, S. C., and F. L. Carneiro. "Accelerated frames and galactic rotation curves." Modern Physics Letters A 34, no. 27 (2019): 1950218. http://dx.doi.org/10.1142/s0217732319502183.

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In this paper, the galactic rotation curve is analyzed as an effect of an accelerated reference frame. Such a rotation curve was the first evidence for the so-called dark matter. We show another possibility for this experimental data: non-inertial reference frame can fit the experimental curve. We also show that general relativity is not enough to completely explain that which encouraged alternatives paths such as the MOND approach. The accelerated reference frames hypothesis is well-suited to deal with the rotation curve of galaxies and perhaps has some role to play concerning other evidences

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36

Scotti, Alberto, and Pierre-Yves Passaggia. "Diagnosing diabatic effects on the available energy of stratified flows in inertial and non-inertial frames." Journal of Fluid Mechanics 861 (December 27, 2018): 608–42. http://dx.doi.org/10.1017/jfm.2018.915.

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The concept of available energy in a stratified fluid is revisited from the point of view of non-canonical Hamiltonian systems. We show that the concept of available energy arises when we minimize the energy subject to the constraints associated with the existence of Lagrangian invariants. The non-canonical structure implies that there exists a class of dynamically equivalent Hamiltonians, related by a local (in phase space) gauge symmetry. A local diagnostic energy can be defined via the Hamiltonian density chosen imposing a specific gauge-fixing condition on the class of dynamically similar

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37

Zabaleta Imaz, Josu. "Is the Equality between the Inertial and the Gravitational Mass Empirically Falsifiable?" Metatheoria – Revista de Filosofía e Historia de la Ciencia 9, no. 1 (2018): 51–61. http://dx.doi.org/10.48160/18532330me9.215.

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Following a suggestion made by Einstein, a non-empirical or structural interpretation of the equality between the inertial and the gravitational mass is proposed. To this aim, I will relate my line of argument regarding the foundations of the General Relativity to an analogous passage on the history of science in Newton’s preparatory works for the Principia. In both cases, two concepts of mass are mere expressions of two different frames of reference (inertial for Newton, non-inertial for Einstein). As a result, the ongoing experiments, whose aim is to prove empirically the equality between th

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38

Holm, Darryl D. "Stochastic modelling in fluid dynamics: Itô versus Stratonovich." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2237 (2020): 20190812. http://dx.doi.org/10.1098/rspa.2019.0812.

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Suppose the observations of Lagrangian trajectories for fluid flow in some physical situation can be modelled sufficiently accurately by a spatially correlated Itô stochastic process (with zero mean) obtained from data which is taken in fixed Eulerian space. Suppose we also want to apply Hamilton’s principle to derive the stochastic fluid equations for this situation. Now, the variational calculus for applying Hamilton’s principle requires the Stratonovich process, so we must transform from Itô noise in the data frame to the equivalent Stratonovich noise. However, the transformation from the I

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39

Shippen, James, and Barbara May. "Shoulder torques resulting from luggage handling tasks in non-inertial frames." Technology and Health Care 26 (June 20, 2018): 565–69. http://dx.doi.org/10.3233/thc-182503.

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40

Takagi, S. "Quantum Dynamics and Non-Inertial Frames of References. II: Harmonic Oscillators." Progress of Theoretical Physics 85, no. 4 (1991): 723–42. http://dx.doi.org/10.1143/ptp/85.4.723.

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41

Di Noia, Maurizio, Filippo Giraldi, and Francesco Petruccione. "Entanglement concentration for two-mode Gaussian states in non-inertial frames." Journal of Physics A: Mathematical and Theoretical 50, no. 16 (2017): 165302. http://dx.doi.org/10.1088/1751-8121/aa6174.

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42

Dragan, Andrzej, Jason Doukas, Eduardo Martín-Martínez, and David Edward Bruschi. "Localized projective measurement of a quantum field in non-inertial frames." Classical and Quantum Gravity 30, no. 23 (2013): 235006. http://dx.doi.org/10.1088/0264-9381/30/23/235006.

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43

LUSANNA, LUCA. "THE CHRONO-GEOMETRICAL STRUCTURE OF SPECIAL AND GENERAL RELATIVITY: A RE-VISITATION OF CANONICAL GEOMETRODYNAMICS." International Journal of Geometric Methods in Modern Physics 04, no. 01 (2007): 79–114. http://dx.doi.org/10.1142/s0219887807001874.

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A modern re-visitation of the consequences of the lack of an intrinsic notion of instantaneous 3-space in relativistic theories leads to a reformulation of their kinematical basis emphasizing the role of non-inertial frames centered on an arbitrary accelerated observer. In special relativity the exigence of predictability implies the adoption of the 3 + 1 point of view, which leads to a well posed initial value problem for field equations in a framework where the change of the convention of synchronization of distant clocks is realized by means of a gauge transformation. This point of view is

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44

Alsing, P. M., and G. Milburn. "Lorentz Invariance of Entanglement." Quantum Information and Computation 2, no. 6 (2002): 487–512. http://dx.doi.org/10.26421/qic2.6-4.

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We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipar

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45

Khan, Salman, Niaz Ali Khan, and M. K. Khan. "Non-Maximal Tripartite Entanglement Degradation of Dirac and Scalar Fields in Non-Inertial Frames." Communications in Theoretical Physics 61, no. 3 (2014): 281–88. http://dx.doi.org/10.1088/0253-6102/61/3/02.

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46

Praček, Stanislav, and Nace Pušnik. "Fictitious forces in yarn during unwinding from packages." Textile Research Journal 88, no. 2 (2016): 225–34. http://dx.doi.org/10.1177/0040517516676055.

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In this paper we discuss the general equation of motion for yarn in a rotating coordinate system. This equation is often used to describe the motion of yarn that is unwinding from packages. The rotating coordinate system is non-inertial and the equation of motion therefore contains fictitious forces. We comment on the physical significance of fictitious forces that appear in a non-inertial frame and we devote particular attention to a less known Euler force that only appears in non-uniformly rotating frames. We show that this force should be taken into account when the unwinding point is near

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47

Germanà, C. "Are OPERA neutrinos faster than light because of non-inertial reference frames?" Astronomy & Astrophysics 538 (February 2012): L5. http://dx.doi.org/10.1051/0004-6361/201118745.

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48

Abolghasem, G. H., M. R. H. Khajehpour, and R. Mansouri. "Generalisation of the test theory of special relativity to non-inertial frames." Journal of Physics A: Mathematical and General 22, no. 10 (1989): 1589–97. http://dx.doi.org/10.1088/0305-4470/22/10/014.

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49

Dahia, F., and P. J. Felix da Silva. "Static observers in curved spaces and non-inertial frames in Minkowski spacetime." General Relativity and Gravitation 43, no. 1 (2010): 269–92. http://dx.doi.org/10.1007/s10714-010-1086-1.

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Tang, Shanran, and Bert Sweetman. "A geometrically-exact momentum-based non-linear theory applicable to beams in non-inertial frames." International Journal of Non-Linear Mechanics 113 (July 2019): 158–70. http://dx.doi.org/10.1016/j.ijnonlinmec.2019.03.007.

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