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Journal articles on the topic 'Bianchi Type I'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Batakis, Nikolaos A. "Bianchi-type string cosmology." Physics Letters B 353, no. 1 (1995): 39–45. http://dx.doi.org/10.1016/0370-2693(95)00582-6.

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2

Mohanty, G., S. K. Sahu, and P. K. Sahoo. "Mesonic Stiff Fluid Distribution in Bianchi Type Space-Times." Communications in Physics 14, no. 2 (2007): 84–89. http://dx.doi.org/10.15625/0868-3166/14/2/10698.

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The distributions of stiff perfect fluid coupled with zero mass scalar field in LRS Bianchi type-I & Bianchi type-V space times are investigated. Some physical and geometrical properties of the models are discussed.

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3

Purohit, Rakeshwar, Anita Bagora(Menaria), and Pushpa Bagora. "Bianchi Type IX Cosmological Model." INROADS- An International Journal of Jaipur National University 2, no. 1 (2013): 1. http://dx.doi.org/10.5958/j.2277-4912.2.1.001.

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4

Sandakova, Olga, and Elena Kuvshinova. "Bianchi Type V Cosmological Model." Вестник Пермского университета. Математика. Механика. Информатика, no. 2(57) (2022): 67–72. http://dx.doi.org/10.17072/1993-0550-2022-2-67-72.

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Within the framework of the general theory of relativity, a cosmological model of type V according to the Bianchi classification is constructed, where a non-interacting ideal fluid is used as a source of gravity. Two possible solutions have been found, the first of which describes the stage of early inflation of the evolution of the Universe.

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5

Graham, Robert. "Supersymmetric Bianchi type IX cosmology." Physical Review Letters 67, no. 11 (1991): 1381–83. http://dx.doi.org/10.1103/physrevlett.67.1381.

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6

Sklavenites, D. "Geodesic Bianchi type cosmological models." General Relativity and Gravitation 24, no. 1 (1992): 47–58. http://dx.doi.org/10.1007/bf00756873.

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7

Pant, D. N., and Sanjay Oli. "Bianchi type I string cosmologies." Pramana 60, no. 3 (2003): 433–41. http://dx.doi.org/10.1007/bf02706149.

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8

Hussain, Tahir, and Waqas Rahim. "Homothetic matter collineations of LRS Bianchi type I spacetimes." Modern Physics Letters A 32, no. 37 (2017): 1750197. http://dx.doi.org/10.1142/s0217732317501978.

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A complete classification of locally rotationally symmetric (LRS) Bianchi type I spacetimes via homothetic matter collineations (HMCs) is presented. For non-degenerate energy–momentum tensor, a general form of the vector field generating HMCs is found, subject to some integrability conditions. Solving the integrability conditions in different cases, it is found that the LRS Bianchi type I spacetimes admit 6-, 7-, 8-, 10- or 11-dimensional Lie algebra of HMCs. When the energy–momentum tensor is degenerate, two cases give 6 and 11 HMCs, while the remaining cases produce infinite number of HMCs.

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9

Saha, Bijan. "Spinor field in Bianchi type-IX space–time." Canadian Journal of Physics 96, no. 10 (2018): 1074–84. http://dx.doi.org/10.1139/cjp-2017-0711.

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Within the scope of Bianchi type-IX cosmological model we have studied the role of spinor field in the evolution of the Universe. It is found that unlike the diagonal Bianchi models in this case the components of energy–momentum tensor of spinor field along the principal axis are not the same (i.e., [Formula: see text]), even in the absence of spinor field nonlinearity. The presence of nontrivial non-diagonal components of energy–momentum tensor of the spinor field imposes severe restrictions both on geometry of space–time and on the spinor field itself. As a result the space–time turns out to

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10

CAPOZZIELLO, S., and R. DE RITIS. "COSMIC NO-HAIR THEOREM IN ANISOTROPIC, NONMINIMALLY COUPLED COSMOLOGIES." International Journal of Modern Physics D 05, no. 02 (1996): 209–15. http://dx.doi.org/10.1142/s021827189600014x.

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The cosmic no-hair theorem is generalized for homogeneous and anisotropic spacetimes in which a scalar field is nonminimally coupled to the geometry. The result is that the Wald proof also holds here for all Bianchi-type universes except Bianchi type-IX. However, considering the asymptotic behaviour of parameters, it is possible to find a class of models where the conjecture holds for Bianchi-IX too.

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11

Saha, Bijan. "Nonlinear Spinor Field in Non-Diagonal Bianchi Type Space-Time." EPJ Web of Conferences 173 (2018): 02018. http://dx.doi.org/10.1051/epjconf/201817302018.

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Within the scope of the non-diagonal Bianchi cosmological models we have studied the role of the spinor field in the evolution of the Universe. In the non-diagonal Bianchi models the spinor field distribution along the main axis is anisotropic and does not vanish in the absence of the spinor field nonlinearity. Hence within these models perfect fluid, dark energy etc. cannot be simulated by the spinor field nonlinearity. The equation for volume scale V in the case of non-diagonal Bianchi models contains a term with first derivative of V explicitly and does not allow exact solution by quadratur

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12

Singh, K. Priyokumar, and Jiten Baro. "Higher Dimensional LRS Bianchi Type-I String Cosmological Model with Bulk Viscosity in General Relativity." Indian Journal of Science and Technology 14, no. 16 (2021): 1239–49. https://doi.org/10.17485/IJST/v14i16.240.

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Abstract <strong>Objective:</strong> To present a new solution to the field equations obtained for higher dimensional LRS Bianchi type-I universe generated by means of a cloud of strings with particles connected to them with bulk viscosity in general relativity. <strong>Methods:</strong> To obtain the solutions of field equations of higher dimensional LRS Bianchi type-I universe we consider that the shear scalar of the model is proportional to the scalar expansion of the model (saq ), which leads to, c=b^n. The physical and geometrical behaviors of the model universe are studied

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13

Abdel-Megied, M., and E. A. Hegazy. "Bianchi type VI cosmological model with electromagnetic field in Lyra geometry." Canadian Journal of Physics 94, no. 10 (2016): 992–1000. http://dx.doi.org/10.1139/cjp-2016-0274.

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Bianchi type VI cosmological model in the presence of electromagnetic field with variable magnetic permeability in the framework of Lyra geometry is presented. An exact solution is introduced by considering that the eigenvalue [Formula: see text] of the shear tensor [Formula: see text] is proportional to the scalar expansion Θ of the model, that is, C = (AB)L, where A, B, and C are the coefficients of the metric and L is a constant. Bianchi type V, III, and I cosmological models are given as special cases of Bianchi type VI. Physical and geometrical properties of the models are discussed.

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14

Gaidhane, Parimal W., A. M. Pund, and P. M. Lambat. "Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation." Indian Journal Of Science And Technology 17, no. 18 (2024): 1868–79. http://dx.doi.org/10.17485/ijst/v17i18.451.

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Objectives: To derive the multi-fluid anisotropic Bianchi type-III cosmological model filled with radiation and matter in the presence of Brans-Dicke scalar-tensor theory. Method: In this paper, we have calculated Brans-Dicke field equations in anisotropic Bianchi type -III space times in the presence of matter and radiation which are minimally interacting fields. To obtain the determinate solution of the model, we considered i) the state of the equation , ii) the shear scalar is directly proportional to the expansion scalar i.e., . Also, consider the deceleration parameter, , where with which

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15

Shabbir, Ghulam, K. S. Mahomed, F. M. Mahomed, and R. J. Moitsheki. "Proper projective symmetry in LRS Bianchi type V spacetimes." Modern Physics Letters A 33, no. 13 (2018): 1850073. http://dx.doi.org/10.1142/s0217732318500736.

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In this paper, we investigate proper projective vector fields of locally rotationally symmetric (LRS) Bianchi type V spacetimes using direct integration and algebraic techniques. Despite the non-degeneracy in the Riemann tensor eigenvalues, we classify proper Bianchi type V spacetimes and show that the above spacetimes do not admit proper projective vector fields. Here, in all the cases projective vector fields are Killing vector fields.

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16

Samdurkar, Shilpa, Shubhangi Kale, Pratiksha Nandanwar та Seema Bawnerkar. "Study of Bianchi Type-III Dark Energy Model in the Presence of 𝑓(𝑅, 𝑇 ) Gravity". Indian Journal Of Science And Technology 18, № 24 (2025): 1931–38. https://doi.org/10.17485/ijst/v18i24.3908.

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Objective: To get a solution for the dark energy model using a Bianchi type III model with an EoS (Equation of State) parameter filled with a perfect fluid in the scalar tensor theory of gravity. Methods: To acquire exact solutions of field equations, we considered: (i) the shear scalar is proportional to scalar expansion. (ii) a special form of scale factor, and (iii) the EoS (Skewness) parameter is proportional to the skewness parameter. Findings: We have seen that the EoS and the Skewness are functions of time. We also observed some physical and kinematic aspects of the resulting model. It

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17

Hervik, Sigbjørn. "The Bianchi type I minisuperspace model." Classical and Quantum Gravity 17, no. 14 (2000): 2765–82. http://dx.doi.org/10.1088/0264-9381/17/14/311.

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18

Harko, T., and M. K. Mak. "Anisotropy in Bianchi-type brane cosmologies." Classical and Quantum Gravity 21, no. 6 (2004): 1489–503. http://dx.doi.org/10.1088/0264-9381/21/6/015.

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19

Bergamini, Roberto, Paolo Sedici, and Paolo Verrocchio. "Inflation for Bianchi type IX models." Physical Review D 55, no. 4 (1997): 1896–900. http://dx.doi.org/10.1103/physrevd.55.1896.

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20

Jensen, Lars Gerhard, Jorma Louko, and Peter J. Ruback. "Biaxial Bianchi type IX quantum cosmology." Nuclear Physics B 351, no. 3 (1991): 662–78. http://dx.doi.org/10.1016/s0550-3213(05)80038-0.

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21

Aguero, M., J. A. S. Aguilar, C. Ortiz, M. Sabido, and J. Socorro. "Noncommutative Bianchi Type II Quantum Cosmology." International Journal of Theoretical Physics 46, no. 11 (2007): 2928–34. http://dx.doi.org/10.1007/s10773-007-9405-3.

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22

Adhav, K. S., M. V. Dawande, and V. B. Raut. "Bianchi Type-III String Cosmological Models." International Journal of Theoretical Physics 48, no. 3 (2008): 700–705. http://dx.doi.org/10.1007/s10773-008-9846-3.

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23

Krori, K. D., T. Chaudhury, and Chandra Rekha Mahanta. "Strings in some Bianchi type cosmologies." General Relativity and Gravitation 26, no. 3 (1994): 265–74. http://dx.doi.org/10.1007/bf02108006.

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24

Barrow, John D., and D. H. Sonoda. "Asymptotic stability of Bianchi type universes." Physics Reports 139, no. 1 (1986): 1–49. http://dx.doi.org/10.1016/0370-1573(86)90025-6.

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25

Fišer, Kurt, Kjell Rosquist, and Claes Uggla. "Bianchi type V perfect fluid cosmologies." General Relativity and Gravitation 24, no. 6 (1992): 679–86. http://dx.doi.org/10.1007/bf00760434.

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26

Krori, K. D., and Madhumita Barua. "Higher-dimensional Bianchi type I cosmologies." Physics Letters A 123, no. 8 (1987): 379–81. http://dx.doi.org/10.1016/0375-9601(87)90035-1.

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27

Shen, You-gen, and Zong-yi Cheng. "Quantization of the Bianchi type universe." Chinese Astronomy and Astrophysics 21, no. 4 (1997): 389–95. http://dx.doi.org/10.1016/s0275-1062(97)00054-4.

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28

Tkach, V. I., J. J. Rosales, and O. Obregón. "Supersymmetric action for Bianchi type models." Classical and Quantum Gravity 13, no. 9 (1996): 2349–56. http://dx.doi.org/10.1088/0264-9381/13/9/002.

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29

Chmielowski, Piotr, and Don N. Page. "Probability of Bianchi type-I inflation." Physical Review D 38, no. 8 (1988): 2392–98. http://dx.doi.org/10.1103/physrevd.38.2392.

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30

Venkateswarlu, R., and D. R. K. Reddy. "Bianchi type-V Lyttleton-Bondi universe." Astrophysics and Space Science 154, no. 1 (1989): 111–14. http://dx.doi.org/10.1007/bf00643776.

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31

Lorenz-Petzold, D. "Higher-dimensional bianchi type-V cosmologies." Letters in Mathematical Physics 10, no. 4 (1985): 279–82. http://dx.doi.org/10.1007/bf00420567.

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32

Nayak, B. K., and G. B. Bhuyan. "Bianchi type-V perfect fluid models." General Relativity and Gravitation 18, no. 1 (1986): 79–91. http://dx.doi.org/10.1007/bf00843752.

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33

Ram, Shri, and Prem Singh. "Bianchi type-II string-dust universes." Astrophysics and Space Science 192, no. 2 (1992): 335–38. http://dx.doi.org/10.1007/bf00684493.

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34

Lorenz-Petzold, D. "Bianchi type-II perfect fluid solutions." Astrophysics and Space Science 127, no. 2 (1986): 377–79. http://dx.doi.org/10.1007/bf00636551.

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35

Reddy, D. R. K., and P. Innaiah. "Bianchi type-I Lyttleton-Bondi universe." Astrophysics and Space Science 122, no. 2 (1986): 231–34. http://dx.doi.org/10.1007/bf00650190.

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36

Lorenz-Petzold, D. "Higher-dimensional bianchi type-VIh cosmologies." Journal of Astrophysics and Astronomy 6, no. 3 (1985): 131–35. http://dx.doi.org/10.1007/bf02714992.

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37

Taṣer, Dog̃ukan, and Melis Ulu Dog̃ru. "Conformal symmetric Bianchi type-I cosmologies in f(R) gravity." Modern Physics Letters A 33, no. 23 (2018): 1850134. http://dx.doi.org/10.1142/s0217732318501341.

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In this study, we investigate the Bianchi type-I cosmologies with string cloud attached to perfect fluid in f(R) gravity. The field equations and their exact solutions for Bianchi type-I cosmologies with string cloud attached to a perfect fluid are found by using the conformal symmetry properties. The obtained solutions under the varied selection of arbitrary constants indicate three cosmological models. Isotropy conditions for obtained cosmological models are investigated for large value of time. Whether or not the string cloud in conformal symmetric Bianchi type-I universe supports the isotr

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38

MACÍAS, A., O. OBREGÓN, and J. SOCORRO. "SUPERSYMMETRIC QUANTUM COSMOLOGY." International Journal of Modern Physics A 08, no. 24 (1993): 4291–317. http://dx.doi.org/10.1142/s0217751x93001752.

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Supersymmetric minisuperspace quantization is studied for cosmological models without interaction (Bianchi type I) and for models with interaction like Bianchi type IX, the Taub and the FRW (k=+1) model. In particular for the last two cases the profound differences with standard quantum cosmology are emphasized.

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39

Khan, Suhail, Amjad Mahmood, and Ahmad T. Ali. "Concircular vector fields for Kantowski–Sachs and Bianchi type-III spacetimes." International Journal of Geometric Methods in Modern Physics 15, no. 08 (2018): 1850126. http://dx.doi.org/10.1142/s0219887818501268.

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This paper intends to obtain concircular vector fields (CVFs) of Kantowski–Sachs and Bianch type-III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields (CKVFs) are derived along with their conformal factors. The obtained conformal Killing vector fields are then placed in Hessian equations to obtain the final form of concircular vector fields. The existence of concircular symmetry imposes restrictions on the metric functions. The conditions imposing restrictions on these metric functions are obtained as a set o

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40

Saha, Bijan. "Spinor field with polynomial nonlinearity in LRS Bianchi type-I space–time." Canadian Journal of Physics 94, no. 1 (2016): 116–21. http://dx.doi.org/10.1139/cjp-2015-0574.

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Within the scope of the locally rotationally symmetric (LRS) Bianchi type-I cosmological model the role of spinor field on the evolution of the Universe is investigated. In doing so, we have considered a polynomial type of nonlinearity. It is found that, depending on the sign of the self-coupling constant, the model allows either an accelerated mode of expansion or an oscillatory mode of evolution. While the non-diagonal components of the energy–momentum tensor of the spinor field in the case of a full Bianchi type-I model lead to the vanishing mass and nonlinear term in the spinor field Lagra

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41

Hussain, Tahir, Sumaira Saleem Akhtar, Ashfaque H. Bokhari, and Suhail Khan. "Ricci inheritance collineations in Bianchi type II spacetime." Modern Physics Letters A 31, no. 17 (2016): 1650102. http://dx.doi.org/10.1142/s0217732316501029.

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In this paper, we present a complete classification of Bianchi type II spacetime according to Ricci inheritance collineations (RICs). The RICs are classified considering cases when the Ricci tensor is both degenerate as well as non-degenerate. In case of non-degenerate Ricci tensor, it is found that Bianchi type II spacetime admits 4-, 5-, 6- or 7-dimensional Lie algebra of RICs. In the case when the Ricci tensor is degenerate, majority cases give rise to infinitely many RICs, while remaining cases admit finite RICs given by 4, 5 or 6.

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42

B.Lakshman, Rao, and V.U.M.Rao. "LRS BIANCHI TYPE-I COSMOLOGICAL MODEL WITH DARK ENERGY AND CONSTANT DECLARATION PARAMETER IN BRANS-DICKE THEORY OF GRAVITATION." International Journal of Education &Applied Sciences Research 2, no. 4 (2015): 08–16. https://doi.org/10.5281/zenodo.10687356.

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<strong>Abstract</strong> <em>Bianchi type-I dark energy cosmological model with variable equation of state (EoS) parameter in (Nordtvedt 1970) general scalar tensor theory of gravitation .To get a determinate solution of the field equation we take the help of special law of variation for Hubble parameter presented by Barman(1983) which yields a cosmological model with negative constant deceleration parameter. Some physical and kinematical properties of model are also discussed.</em> <em>                </em> <strong><e

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43

Byland, Samuel, and David Scialom. "Evolution of the Bianchi type I, Bianchi type III, and the Kantowski-Sachs universe: Isotropization and inflation." Physical Review D 57, no. 10 (1998): 6065–74. http://dx.doi.org/10.1103/physrevd.57.6065.

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44

Zubair, M., Syed M. Ali Hassan, and G. Abbas. "Bianchi type I and V solutions in f(R, T) gravity with time-dependent deceleration parameter." Canadian Journal of Physics 94, no. 12 (2016): 1289–96. http://dx.doi.org/10.1139/cjp-2016-0575.

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In this paper, our attention is to reconstruct an appropriate model for Bianchi type I and Bianchi V space–times in f(R, T) gravity with the help of special law of deceleration parameter in connection to f(R, T) gravity (where R is the Ricci scalar and T is the trace of energy–momentum tensor). We solve the modified Einstein field equations for anisotropic and homogeneous Bianchi type V space–time. The solution of field equations facilitates finding out the physical as well as kinematical quantities. We explore the behavior of null energy condition, energy density, and deceleration parameter t

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45

Baro, Jiten, Kangujam Priyokumar Singh, and T. Alexander Singh. "Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry." Indian Journal of Science and Technology 14, no. 1 (2021): 46–54. https://doi.org/10.17485/IJST/v14i1.1705.

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Abstract <strong>Objectives:</strong> To present a new solution to the field equations obtained for Bianchi type-III universe by using the law of variation of H, which yields constant DP. <strong>Methods:</strong> We study a Bianchi type-III cosmological model with a cloud strings with particles connected to them in Lyra geometry. To find the exact solutions of survival field equations we consider here that the shear scalar and scalar expansion are proportional to each other (saq ) that leads to the equation b = cm and secondly we adopt the assumption considering the Deceleratio

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46

Lorenz-Petzold, D. "Bianchi type-VI0 and type-VIh perfect fluid solutions." Astrophysics and Space Science 134, no. 2 (1987): 415–16. http://dx.doi.org/10.1007/bf01094946.

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47

DOGRU, MELİS ULU, DERYA BAYKAL, GÜLİZ KIY, DOGUKAN TASER, HALİFE CAGLAR, and NERİMAN VARLIKLI. "ENERGY–MOMENTUM DISTRIBUTIONS OF FIVE-DIMENSIONAL HOMOGENEOUS-ANISOTROPIC UNIVERSES." International Journal of Modern Physics D 21, no. 10 (2012): 1250078. http://dx.doi.org/10.1142/s0218271812500782.

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In this study, it has been investigated whether the energy and momentum can be localizable for five-dimensional homogeneous and anisotropic universes. In this connection, energy and momentum of five-dimensional Bianchi type-I, type-III and type-V spacetimes have been calculated in the framework of general relativity (GR) and teleparallel gravity (TG). Einstein, Bergmann–Thomson, Landau–Lifshitz, Papapetrou, Tolman and Møller energy–momentum complexes have been used to obtain these related quantities of given the spacetimes in GR, while Einstein, Bergmann–Thomson, Landau–Lifshitz and Møller pre

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48

Cho, Inyong, and Rajibul Shaikh. "Homogeneous spacetime with shear viscosity." Journal of Cosmology and Astroparticle Physics 2024, no. 07 (2024): 025. http://dx.doi.org/10.1088/1475-7516/2024/07/025.

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Abstract We study the homogeneous and anisotropic evolution of Bianchi type-I spacetime driven by perfect fluid with shear viscosity. We obtain exact solutions by considering the simplest form of the equation of state wherein the pressure and the shear stress are proportional to the energy density individually. A special case of our general solutions represent Bianchi type-VII cosmology. We analyse the singularity structure of the solutions and its connection with various energy conditions. We find that the initial singularity can be removed only for the Bianchi type-VII. We also analyse the l

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49

Parimal, W. Gaidhane, M. Pund A, and M. Lambat P. "Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation." Indian Journal of Science and Technology 17, no. 18 (2024): 1868–79. https://doi.org/10.17485/IJST/v17i18.451.

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Abstract <strong>Objectives:</strong> To derive the multi-fluid anisotropic Bianchi type-III cosmological model filled with radiation and matter in the presence of Brans-Dicke scalar-tensor theory. <strong>Method:</strong> In this paper, we have calculated Brans-Dicke field equations in anisotropic Bianchi type -III space times in the presence of matter and radiation which are minimally interacting fields. To obtain the determinate solution of the model, we considered i) the state of the equation , ii) the shear scalar is directly proportional to the expansion scalar i.e., . Als

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50

Khan, Fawad, Tahir Hussain, and Sumaira Saleem Akhtar. "Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter." Modern Physics Letters A 32, no. 24 (2017): 1750124. http://dx.doi.org/10.1142/s0217732317501243.

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Considering the perfect fluid as a source of energy–momentum tensor, we have classified locally rotationally symmetric (LRS) Bianchi type V spacetimes according to their conformal Ricci collineations (CRCs). It is shown that the LRS Bianchi type V spacetimes with perfect fluid matter admit 9- or 15-dimensional Lie algebra of CRCs when the Ricci tensor is non-degenerate, while the group of CRCs is infinite for degenerate Ricci tensor.

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