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Journal articles on the topic 'Raychaudhuri'

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Published: 4 June 2021
Last updated: 2 February 2022

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1

Fenton, T. W. "Kunal Raychaudhuri." Psychiatric Bulletin 27, no. 10 (October 2003): 398. http://dx.doi.org/10.1017/s0955603600003299.

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2

Fenton, T. W. "Kunal Raychaudhuri." BMJ 326, no. 7403 (June 19, 2003): 1401—c—1401. http://dx.doi.org/10.1136/bmj.326.7403.1401-c.

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3

Fenton, T. W. "Kunal Raychaudhuri." Psychiatric Bulletin 27, no. 10 (October 2003): 398. http://dx.doi.org/10.1192/pb.27.10.398.

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4

Raychaudhuri, A. K. "Raychaudhuri Replies:." Physical Review Letters 81, no. 22 (November 30, 1998): 5033. http://dx.doi.org/10.1103/physrevlett.81.5033.

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5

Cervantes, Aldrin. "Evolution of universe from Raychaudhuri equation for membranes." Modern Physics Letters A 34, no. 22 (July 20, 2019): 1950172. http://dx.doi.org/10.1142/s0217732319501724.

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We know that in general relativity the Raychaudhuri equation gives the congruence and evolution of the geodesics. In this work, it is proposed that in brane cosmology the Raychaudhuri equation, apart from giving the collapse of the brane, it gives the evolution of the brane. Therefore, the Raychaudhuri equation gives the same information as the one of Friedmann’s, in the context of evolution.
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6

Pesci, Alessandro. "Effective Null Raychaudhuri Equation." Particles 1, no. 1 (October 23, 2018): 230–37. http://dx.doi.org/10.3390/particles1010017.

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The effects on Raychaudhuri’s equation of an intrinsically-discrete or particle nature of spacetime are investigated. This is done through the consideration of null congruences emerging from, or converging to, a generic point of spacetime, i.e., in geometric circumstances somehow prototypical of singularity issues. We do this from an effective point of view, that is through a (continuous) description of spacetime modified to embody the existence of an intrinsic discreteness on the small scale, this adding to previous results for non-null congruences. Various expressions for the effective rate of change of expansion are derived. They in particular provide finite values for the limiting effective expansion and its rate of variation when approaching the focal point. Further, this results in a non-vanishing of the limiting cross-sectional area itself of the congruence.
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7

Kar, Sayan. "Generalized Raychaudhuri equations: Examples." Physical Review D 53, no. 4 (February 15, 1996): 2071–77. http://dx.doi.org/10.1103/physrevd.53.2071.

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8

Guo, Minyong, Yu Tian, Xiaoning Wu, and Hongbao Zhang. "From Prigogine to Raychaudhuri." Classical and Quantum Gravity 34, no. 3 (January 10, 2017): 035013. http://dx.doi.org/10.1088/1361-6382/aa54a0.

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9

Ellis, George F. R. "On the Raychaudhuri equation." Pramana 69, no. 1 (July 2007): 15–22. http://dx.doi.org/10.1007/s12043-007-0107-4.

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10

WANAS, M. I., and M. A. BAKRY. "EFFECT OF SPIN–TORSION INTERACTION ON RAYCHAUDHURI EQUATION." International Journal of Modern Physics A 24, no. 27 (October 30, 2009): 5025–32. http://dx.doi.org/10.1142/s0217751x09046291.

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Raychaudhuri equation is generalized in the parametrized absolute parallelism geometry. This version of absolute parallelism is more general than the conventional one. The generalization takes into account the suggested interaction between the quantum spin of the moving particle and the torsion of the background gravitational field. The generalized Raychaudhuri equation obtained contains some extra terms, depending on the torsion of space–time, that would have some effects on the singularity theorems of general relativity. Under a certain condition, this equation could be reduced to the original Raychaudhuri equation without any need for a vanishing torsion.
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11

Stepanov, Sergey E., and Josef Mikeš. "The generalized Landau–Raychaudhuri equation and its applications." International Journal of Geometric Methods in Modern Physics 12, no. 08 (September 2015): 1560026. http://dx.doi.org/10.1142/s0219887815600269.

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More than twenty years ago, the first of the two authors of this paper has deduced the generalized Landau–Raychaudhuri equation and demonstrated its numerous applications. Now we present some new interesting applications of the generalized Landau–Raychaudhuri equation.
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12

Dadhich, Naresh. "Singularity: Raychaudhuri equation once again." Pramana 69, no. 1 (July 2007): 23–29. http://dx.doi.org/10.1007/s12043-007-0108-3.

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13

Vagenas, Elias C., Lina Alasfar, Salwa M. Alsaleh, and Ahmed Farag Ali. "The GUP and quantum Raychaudhuri equation." Nuclear Physics B 931 (June 2018): 72–78. http://dx.doi.org/10.1016/j.nuclphysb.2018.04.004.

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14

Chakraborty, Sumanta, Dawood Kothawala, and Alessandro Pesci. "Raychaudhuri equation with zero point length." Physics Letters B 797 (October 2019): 134877. http://dx.doi.org/10.1016/j.physletb.2019.134877.

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15

Fennelly, A. J., Jean P. Krisch, John R. Ray, and Larry L. Smalley. "Including spin in the Raychaudhuri equation." Journal of Mathematical Physics 32, no. 2 (February 1991): 485–87. http://dx.doi.org/10.1063/1.529439.

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16

EHLERS, J. "A. K. RAYCHAUDHURI AND HIS EQUATION." International Journal of Modern Physics D 15, no. 10 (October 2006): 1573–80. http://dx.doi.org/10.1142/s0218271806008966.

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17

Diab, Abdel Magied, and Abdel Nasser Tawfik. "Our Understanding on Landau-Raychaudhuri Cosmology." Journal of Physics: Conference Series 668 (January 18, 2016): 012113. http://dx.doi.org/10.1088/1742-6596/668/1/012113.

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18

Albareti, F. D., J. A. R. Cembranos, A. de la Cruz-Dombriz, and A. Dobado. "The Raychaudhuri equation in homogeneous cosmologies." Journal of Cosmology and Astroparticle Physics 2014, no. 03 (March 10, 2014): 012. http://dx.doi.org/10.1088/1475-7516/2014/03/012.

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19

Valls, Claudia. "Darbouxian integrals for generalized Raychaudhuri equations." Journal of Mathematical Physics 52, no. 3 (March 2011): 032703. http://dx.doi.org/10.1063/1.3559065.

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20

Kar, Sayan, and Soumitra Sengupta. "The Raychaudhuri equations: A brief review." Pramana 69, no. 1 (July 2007): 49–76. http://dx.doi.org/10.1007/s12043-007-0110-9.

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21

Ehlers, J. "A K Raychaudhuri and his equation." Pramana 69, no. 1 (July 2007): 7–14. http://dx.doi.org/10.1007/s12043-007-0106-5.

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22

Ahmadi, N., and M. Nouri-Zonoz. "Raychaudhuri equation in quantum gravitational optics." Pramana 69, no. 1 (July 2007): 147–57. http://dx.doi.org/10.1007/s12043-007-0116-3.

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23

Sen, Parongama. "The legacy of Amal Kumar Raychaudhuri." Resonance 13, no. 4 (April 2008): 308–9. http://dx.doi.org/10.1007/s12045-008-0011-3.

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24

Kar, Sayan. "An introduction to the Raychaudhuri equations." Resonance 13, no. 4 (April 2008): 319–33. http://dx.doi.org/10.1007/s12045-008-0013-1.

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25

Choudhury, Shibendu Gupta, Ananda Dasgupta, and Narayan Banerjee. "Raychaudhuri equation in scalar–tensor theory." International Journal of Geometric Methods in Modern Physics 18, no. 08 (May 4, 2021): 2150115. http://dx.doi.org/10.1142/s0219887821501152.

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Implications of the Raychaudhuri equation in focusing of geodesic congruences are studied in the framework of scalar–tensor theory of gravity. Specifically, we investigate the Brans–Dicke theory and Bekenstein’s scalar field theory. In both of these theories, we deal with a static spherically symmetric distribution and a spatially homogeneous and isotropic cosmological model as specific examples. We find that it is possible to violate the convergence condition under reasonable physical assumptions. This leads to the possibility of avoiding a singularity.
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26

Stavrinos, Panayiotis C., and Maria Alexiou. "Raychaudhuri equation in the Finsler–Randers space-time and generalized scalar-tensor theories." International Journal of Geometric Methods in Modern Physics 15, no. 03 (February 20, 2018): 1850039. http://dx.doi.org/10.1142/s0219887818500391.

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In this work, we obtain the Raychaudhuri equations for various types of Finsler spaces as the Finsler–Randers (FR) space-time and in a generalized geometrical structure of the space-time manifold which contains two fibers that represent two scalar fields [Formula: see text]. We also derive the Klein–Gordon equation for this model. In addition, the energy conditions are studied in a FR cosmology and are correlated with FRW model. Finally, we apply the Raychaudhuri equation for the model [Formula: see text], where M is a FRW-space-time.
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27

Quednau, F. W. "World review of the genus Tinocallis (Hemiptera: Aphididae, Calaphidinae) with description of a new species." Canadian Entomologist 133, no. 2 (April 2001): 197–213. http://dx.doi.org/10.4039/ent133197-2.

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AbstractThe aphid genus Tinocallis Matsumura is revised on a worldwide basis. Notes on its taxonomic position and evolutionary history and a key for the 21 species are presented. Tinocallis ussuriensis Pashtshenko and T. nevskyi lianchengensis Zhang and Qiao are proposed as synonyms of T. takachihoensis, and T. sapporoensis Higuchi is proposed as a synonym of T. nikkoensis Higuchi, T. allozelkowae Zhang and Zhong as a synonym of T. viridis (Takahashi), and T. magnoliae AK Ghosh and Raychaudhuri as a synonym of T. insularis (Takahashi). Tinocallis distinctus MR Ghosh, AK Ghosh and Raychaudhuri is returned to the subgenus Tinocallis s.s. from the subgenus Quednaucallis Chakrabarti. A lectotype designation was made for T. viridis (Takahashi). Tinocallis dalbergicolasp.nov. from Dalbergia hancei Benth. (Fabaceae) in Hong Kong is described and illustrated. It is closely related to T. caryaefoliae (Davis) and T. himalayensis AK Ghosh, MR Ghosh and Raychaudhuri, but has much longer antennae and longer spinal body processes. It also differs from the former species by the smooth mesonotum and from the latter species in having the forewing hyaline and with a complete radial sector.
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28

GUHA, PARTHA. "GEOMETRY OF THE RAYCHAUDHURI EQUATION — PROJECTIVE STRUCTURES AND INTEGRABILITY." International Journal of Modern Physics A 15, no. 18 (July 20, 2000): 2933–51. http://dx.doi.org/10.1142/s0217751x00001324.

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29

Valls, Claudia. "Analytic first integrals for generalized Raychaudhuri equations." Journal of Mathematical Physics 52, no. 10 (October 2011): 103502. http://dx.doi.org/10.1063/1.3651477.

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30

Shaikh, Absos Ali, and Haradhan Kundu. "On curvature properties of Som–Raychaudhuri spacetime." Journal of Geometry 108, no. 2 (October 11, 2016): 501–15. http://dx.doi.org/10.1007/s00022-016-0355-x.

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31

Valls, Claudia. "Invariant Algebraic Surfaces for Generalized Raychaudhuri Equations." Communications in Mathematical Physics 308, no. 1 (August 25, 2011): 133–46. http://dx.doi.org/10.1007/s00220-011-1321-y.

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32

BORGMAN, J., and L. H. FORD. "STOCHASTIC GRAVITY AND THE LANGEVIN-RAYCHAUDHURI EQUATION." International Journal of Modern Physics A 20, no. 11 (April 30, 2005): 2364–73. http://dx.doi.org/10.1142/s0217751x05024638.

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We treat the gravitational effects of quantum stress tensor fluctuations. An operational approach is adopted in which these fluctuations produce fluctuations in the focusing of a bundle of geodesics. This can be calculated explicitly using the Raychaudhuri equation as a Langevin equation. The physical manifestation of these fluctuations are angular blurring and luminosity fluctuations of the images of distant sources.
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33

Horwitz, Lawrence Paul, Vishnu S. Namboothiri, Gautham Varma K, Asher Yahalom, Yosef Strauss, and Jacob Levitan. "Raychaudhuri Equation, Geometrical Flows and Geometrical Entropy." Symmetry 13, no. 6 (May 28, 2021): 957. http://dx.doi.org/10.3390/sym13060957.

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The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n+1 dimensions. The equation turns into a harmonic oscillator form under suitable transformations. Thereby, a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus, we establish a connection between chaos theory and general relativity.
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34

Lashin, E. I. "On the correctness of cosmology from quantum potential." Modern Physics Letters A 31, no. 07 (March 2, 2016): 1650044. http://dx.doi.org/10.1142/s0217732316500449.

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We examine in detail the cosmology based on quantal (Bohmian) trajectories as suggested in a recent study [A. F. Ali and S. Das, Phys. Lett. B 741, 276 (2014)]. We disagree with the conclusions regarding predicting the value of the cosmological constant [Formula: see text] and evading the Big Bang singularity. Furthermore, we show that the approach of using a quantum corrected Raychaudhuri equation (QRE), as suggested in A. F. Ali and S. Das, Phys. Lett. B 741, 276 (2014), is unsatisfactory, because, essentially, it uses the Raychaudhuri equation (RE), which is a kinematical equation, in order to predict dynamics. In addition, even within this inconsistent framework, the authors have adopted unjustified assumptions and carried out incorrect steps leading to doubtful conclusions.
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35

Alsaleh, Salwa, Lina Alasfar, Mir Faizal, and Ahmed Farag Ali. "Quantum no-singularity theorem from geometric flows." International Journal of Modern Physics A 33, no. 10 (April 10, 2018): 1850052. http://dx.doi.org/10.1142/s0217751x18500525.

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In this paper, we analyze the classical geometric flow as a dynamical system. We obtain an action for this system, such that its equation of motion is the Raychaudhuri equation. This action will be used to quantize this system. As the Raychaudhuri equation is the basis for deriving the singularity theorems, we will be able to understand the effects and such a quantization will have on the classical singularity theorems. Thus, quantizing the geometric flow, we can demonstrate that a quantum space–time is complete (nonsingular). This is because the existence of a conjugate point is a necessary condition for the occurrence of singularities, and we will be able to demonstrate that such conjugate points cannot occur due to such quantum effects.
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36

Krishchenko, Alexander P., and Konstantin E. Starkov. "Dynamical Analysis of Raychaudhuri Equations Based on the Localization Method of Compact Invariant Sets." International Journal of Bifurcation and Chaos 24, no. 11 (November 2014): 1450136. http://dx.doi.org/10.1142/s0218127414501363.

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In this paper, we examine the localization problem of compact invariant sets of Raychaudhuri equations with nonzero parameters. The main attention is attracted to the localization of periodic/homoclinic orbits and homoclinic cycles: we prove that there are neither periodic/homoclinic orbits nor homoclinic cycles; we find heteroclinic orbits connecting distinct equilibrium points. We describe some unbounded domain such that nonescaping to infinity positive semitrajectories which are contained in this domain have the omega-limit set located in the boundary of this domain. We find a locus of other types of compact invariant sets respecting three-dimensional and two-dimensional invariant planes. Besides, we describe the phase portrait of the system obtained from the Raychaudhuri equations by the restriction on the two-dimensional invariant plane.
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37

Kocić, Korana, Andjeljko Petrović, Jelisaveta Čkrkić, Nickolas G. Kavallieratos, Ehsan Rakhshani, Judit Arnó, Yahana Aparicio, Paul D. N. Hebert, and Željko Tomanović. "Resolving the Taxonomic Status of Potential Biocontrol Agents Belonging to the Neglected Genus Lipolexis Förster (Hymenoptera, Braconidae, Aphidiinae) with Descriptions of Six New Species." Insects 11, no. 10 (September 29, 2020): 667. http://dx.doi.org/10.3390/insects11100667.

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Lipolexis is a small genus in the subfamily Aphidiinae represented by one species in Europe (Lipolexis gracilis Förster) and by four in Asia (Lipolexis wuyiensis Chen, L. oregmae Gahan, L. myzakkaiae Pramanik and Raychaudhuri and L. pseudoscutellaris Pramanik and Raychaudhuri). Although L. oregmae is employed in biological control programs against pest aphids, the last morphological study on the genus was completed over 50 years ago. This study employs an integrative approach (morphology and molecular analysis (COI barcode region)), to examine Lipolexis specimens that were sampled worldwide, including specimens from BOLD database. These results establish that two currently recognized species of Lipolexis (L. gracilis, L. oregmae) are actually a species complex and also reveal phylogenetic relationships within the genus. Six new species are described and a global key for the identification of Lipolexis species is provided.
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38

Minguzzi, E. "Raychaudhuri equation and singularity theorems in Finsler spacetimes." Classical and Quantum Gravity 32, no. 18 (September 1, 2015): 185008. http://dx.doi.org/10.1088/0264-9381/32/18/185008.

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39

Mukku, Chandrasekher, Swadesh M. Mahajan, and Bindu A. Bambah. "On a Raychaudhuri equation for hot gravitating fluids." Pramana 69, no. 1 (July 2007): 137–45. http://dx.doi.org/10.1007/s12043-007-0115-4.

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40

Paiva, F. M., M. J. Rebouças, and A. F. F. Teixeira. "Time travel in the homogeneous Som-Raychaudhuri universe." Physics Letters A 126, no. 3 (December 1987): 168–70. http://dx.doi.org/10.1016/0375-9601(87)90453-1.

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41

Fathi, Mohsen. "Congruence kinematics in conformal gravity." Revista Mexicana de Física 65, no. 3 (May 7, 2019): 261. http://dx.doi.org/10.31349/revmexfis.65.261.

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In this paper we calculate the kinematical quantities possessed by Raychaudhuri equations, tocharacterize a congruence of time-like integral curves, according to the vacuum radial solution of Weyl theory of gravity. Also the corresponding flows are plotted for denfinite values of constants.
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42

Sharma, Manabendra. "Raychaudhuri equation in an anisotropic universe with anisotropic sources." Gravitation and Cosmology 21, no. 3 (July 2015): 252–56. http://dx.doi.org/10.1134/s0202289315030111.

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43

Das, Saurya. "Cosmic coincidence or graviton mass?" International Journal of Modern Physics D 23, no. 12 (October 2014): 1442017. http://dx.doi.org/10.1142/s0218271814420176.

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Using the quantum corrected Friedmann equation, obtained from the quantum Raychaudhuri equation, and assuming a small mass of the graviton (but consistent with observations and theory), we propose a resolution of the smallness problem (why is observed vacuum energy so small?) and the coincidence problem (why does it constitute most of the universe, about 70%, in the current epoch?).
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44

Krori, K. D., and D. Goswami. "Geodetic study of some homogeneous space–times." Canadian Journal of Physics 67, no. 8 (August 1, 1989): 753–58. http://dx.doi.org/10.1139/p89-132.

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We present here a geodetic study of three homogeneous space–times, viz., (a) Hoenselaers–Vishveshwara space–time, (b) Som–Raychaudhuri space–time, and (c) Reboucas space–time. Each of them exhibits the property of gravitational confinement. There are, however, some basic differences between the three space–times that we point out at the end of the paper.
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45

RAYCHAUDHURI, A. K. "A NEW SINGULARITY THEOREM IN RELATIVISTIC COSMOLOGY." Modern Physics Letters A 15, no. 06 (February 28, 2000): 391–95. http://dx.doi.org/10.1142/s0217732300000372.

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It is shown that if the time-like eigenvector of the Ricci tensor is hypersurface orthogonal so that the space–time allows a foliation into space sections, then the space average of each of the scalars that appears in the Raychaudhuri equation vanishes provided that the strong energy condition holds good. This result is presented in the form of a singularity theorem.
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46

Stavrinos, P. C. "Weak gravitational field in Finsler–Randers space and Raychaudhuri equation." General Relativity and Gravitation 44, no. 12 (August 25, 2012): 3029–45. http://dx.doi.org/10.1007/s10714-012-1438-0.

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47

Sugiura, Norimasa, Naoshi Sugiyama, and Misao Sasaki. "Anisotropies in Luminosity Distance." Symposium - International Astronomical Union 183 (1999): 269. http://dx.doi.org/10.1017/s0074180900132863.

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Anisotropies in luminosity distance-redshift relation (dL − z relation) caused by the large-scale structure (LSS) of the universe are studied. We solve the Raychaudhuri equation on FRW models taking account of LSS by the linear perturbation method. Numerical calculations to evaluate the amplitude of the anisotropies are done on flat models with cosmological constant and open models, employing Cold Dark Matter models and COBE-normalization for the power spectrum of the density perturbations.
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48

Mychelkin, Eduard G., and Maxim A. Makukov. "Unified Geometrical Basis for the Generalized Ehlers Identities and Raychaudhuri Equations." Reports on Mathematical Physics 81, no. 2 (April 2018): 157–64. http://dx.doi.org/10.1016/s0034-4877(18)30033-8.

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49

Capovilla, Riccardo, and Jemal Guven. "Large deformations of relativistic membranes: A generalization of the Raychaudhuri equations." Physical Review D 52, no. 2 (July 15, 1995): 1072–81. http://dx.doi.org/10.1103/physrevd.52.1072.

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50

Fil’chenkov, M. L., R. Kh Saibatalov, Yu P. Laptev, and V. V. Plotnikov. "Anisotropic cosmological models in terms of Raychaudhuri and Wheeler-DeWitt equations." Gravitation and Cosmology 15, no. 2 (April 2009): 148–50. http://dx.doi.org/10.1134/s020228930902008x.

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