Anisotropic Expansion and Late-Time Acceleration in Bimetric Gravity: LRS Bianchi Type-I Universe with Stiff Matter

Authors

  • A. Ameen Jawaharlal Darda Institute of Engineering and Technology, Yavatmal (445001), Maharashtra, India Author
  • R. P. Wankhade Jawaharlal Darda Institute of Engineering and Technology, Yavatmal (445001), Maharashtra, India Author

DOI:

https://doi.org/10.32628/IJSRST25126240

Keywords:

Cosmology, Modified theories of gravity

Abstract

In this paper, we have investigated the LRS Bianchi type-I cosmological model containing anisotropic fluid in Bimetric theory of gravitation. The Rosen’s filed equations are solved with the help of special law of variation for Hubble parameter proposed by Berman (1983). We have deduced Zeldovich universe in this theory which is accelerating in nature. Some geometrical and physical aspects of the derived model are also studied.

Downloads

Download data is not yet available.

References

Perlmutter S. et al., 1998, Nature 51, 391 DOI: https://doi.org/10.1038/34124

Perlmutter S. et al., 1999, Astrophys. J. 517, 5 DOI: https://doi.org/10.1177/0095327X7900500313

Riess A.G., et al., 2000, Astronomical Society of the Pacific 112, 1284 DOI: https://doi.org/10.1086/316624

Knop R.K., et al., 2003, Astrophys. J. 598, 102

Tonry J.L., et al., 2003, Astrophys. J. 594, 1

Bernardis P., et al., 1998, Nature 391, 5

Spergel D.N., et al., 2003, Astrophys. J. Supplement series 148, 175 DOI: https://doi.org/10.1086/377226

Tegmark M., et al., 2004, Phy. Rev. D 69, 103501

Bennett C. L., et al., 2003, Astrophys. J. Suppl. 148, 1

Verde L., et al., 2002, Mon. Not. R. Astron. Soc. 335, 432 DOI: https://doi.org/10.3182/20020721-6-ES-1901.00787

Hawkins E., et al., 2003, Mon. Not. Roy. Astr. Soc. 346, 78

Hanany S., et al., 2000, Astrophys. J. 493, L 53 DOI: https://doi.org/10.1007/s002530051647

Abazajian K., et al., 2003, Astron. J. 126, 2081 DOI: https://doi.org/10.1093/brain/awg210

Abazajian K., et al., 2004, Astron. J. 128, 502

Abazajian K., et al., 2005, Astron. J. 129, 1755

Clocchiatti A., et al., 2006, Astrophys. J. 642, 1

Spergel D.N., et al., 2007, Astrophys. J. Suppl. 170, 377 DOI: https://doi.org/10.1086/513700

Komastu E., et al., 2009, Astrophys. J. Suppl. 180, 330

Komastu E., et al., 2011, Astrophys. J. Suppl. 192, 18

Hinshaw G., et al., 2013, Astrophys. J. Suppl. 208, 19

Ade P.A.R., et al., 2013a, arXiv : 1303 : 5076

Ade P.A.R., et al., 2013b, arXiv : 1303 : 5082

Patridge R. B., Wilkinson D.T., 1967, Phys. Rev. Lett. 18, 557 DOI: https://doi.org/10.1103/PhysRevLett.18.557

Chimento L.P., 2004, Phy. Rev. D 69, 123517 DOI: https://doi.org/10.1103/PhysRevD.69.083511

Misner C.W., 1968, Astrophys. J. 151, 431 DOI: https://doi.org/10.1086/149448

Land K., Magueijo J., 2005, Phys. Rev. Lett. 95, 071301 DOI: https://doi.org/10.1103/PhysRevLett.95.071301

Vidyasagar T., et al., 2014, Astrophys. Space Sci. 349, 467 DOI: https://doi.org/10.1007/s10509-013-1616-x

Hajj-Boutros J., Sfeia J., 1987, Int. J. Theor. Phys. 26, 98 DOI: https://doi.org/10.1007/BF00672395

Mazumdar A., 1994, Gen. Relativ. Gravit. 26 (3), 307 DOI: https://doi.org/10.1007/BF02108011

Shri Ram, 1989, Int. J. Theor. Phys. 28, 917 DOI: https://doi.org/10.1007/BF00670005

Mohanty G., Mishra B., 2001, Bulg. J. Phys.28 (3/4), 185

Mohanty G., Sahu S.K., 2001, Theor. Appl. Mech. 26, 59

Mohanty G., Sahu S.K., 2004, Astophys. Space Sci. 291, 75 DOI: https://doi.org/10.1023/B:ASTR.0000029962.07483.40

Mohanty G., et. al., 2003, Astophys. Space Sci. 188, 523

Bali R., Kumawat P., 2008, Phys. Lett. B 665, 332 DOI: https://doi.org/10.1016/j.physletb.2008.06.051

Tripathy S. K., et al., 2008, Astophys. Space Sci. 318, 125 DOI: https://doi.org/10.1007/s10509-008-9895-3

Tripathy S. K., et al., 2009, Astophys. Space Sci. 321, 247 DOI: https://doi.org/10.1007/s10509-009-0033-7

Tripathy S. K., et al., 2010, Astophys. Space Sci. 325, 93 DOI: https://doi.org/10.1007/s10509-009-0169-5

Rosen N., 1973, Gen. Rel. Grav. 4, 435 DOI: https://doi.org/10.1007/BF01215403

Rosen N., 1975, Gen. Rel. Grav. 6, 259 DOI: https://doi.org/10.1007/BF00751570

Rosen N., 1977, Plenum Press, London, 273

Karade T.M., 1980, Indian J. Pure-app. Math. 11, 1202

Israelit M., 1981, Gel. Rel. Grav. 13. 681 DOI: https://doi.org/10.1007/BF00759411

Yilmaz H., 1975, Gel. Rel. Grav. 6. 269 DOI: https://doi.org/10.1007/BF00751571

Reddy D.R.K., et al., 1998, Astophys. Space Sci. 257, 293 DOI: https://doi.org/10.1023/A:1001166619709

Katore S. D., Rane R. S., 2006, Pramana J. Phys. 67, 227 DOI: https://doi.org/10.1007/s12043-006-0067-0

Khadekar G. S., Tade S. D., 2007, Astophys. Space Sci. 310, 47 DOI: https://doi.org/10.1007/s10509-007-9410-2

Borkar M.S., Charjan S. S., 2009, IJAM 22 (3), 445 DOI: https://doi.org/10.1177/0897190008330195

Borkar M.S., Charjan S. S., 2010a, J. Ind. Acad. Math. 32 (1), 147

Borkar M.S., Charjan S. S., 2010b, an Int. J. AAM 5 (1), 96

Borkar M.S., Charjan S. S., 2010, an Int. J. AAM 5 (2), 563

Borkar M.S., Charjan S. S., 2013, an Int. J. AAM 8 (1), 116

Borkar M. S., Gayakwad P. V., 2013, American J. of Pure and Appl. Mathematics 2(1),1

Borkar M. S., Gayakwad P. V., 2014a, IOSR J. of Math. 10(3), 28 DOI: https://doi.org/10.9790/5728-10322838

Borkar M. S., Gayakwad P. V., 2014b, An Int. J. AAM 9 (1), 260

Borkar M.S., et al., 2013, Int. J. Appl. Math. 28 (2), 1249

Borkar M.S., Gaikwad N. P., 2014, Int. J. of Mathematical Sciences 34 (1), 1406

Borkar M.S., Ameen A., 2015a, IJMPD 24 (2), 1550019 DOI: https://doi.org/10.1142/S0218271815500194

Borkar M.S., Ameen A., 2015b, The African Review of Physics 10. 0056, 443

Borkar M.S., Ameen A., 2017a, Astrophysics 60 (2), 242 DOI: https://doi.org/10.1007/s10511-017-9479-4

Borkar M.S., Ameen A., 2017b, Int. J. of Advanced Astronomy 5 (2), 117 DOI: https://doi.org/10.14419/ijaa.v5i2.8168

Borkar M.S., Ameen A., 2017c, Int. J. of Theoretical Physics and Cryptography 15, 8

Gaikwad N.P., et al., 2011, Chin. Phys. Lett. 28 (8), 089803 DOI: https://doi.org/10.1088/0256-307X/28/8/089803

Carroll S.M., et al., 1992, Phy. Rev. D 68, 023509 DOI: https://doi.org/10.1103/PhysRevLett.68.3523

Berman M.S., 1983, Nuovo Cimento B 74, 182 DOI: https://doi.org/10.1007/BF02721676

Berman M. S., Gomide F. M., 1988, Gen. Rel. Gravi. 20, 191 DOI: https://doi.org/10.1007/BF00759327

Singh J. P., Baghel P. S., 2009, Int. J. Theor. Phys. 48 (2), 449 DOI: https://doi.org/10.1007/s10773-008-9820-0

Yadav A. K., Yadav L., 2011, Int. J. Theor. Phys. 50 (1), 218 DOI: https://doi.org/10.1007/s10773-010-0510-3

Riess A. G., et al., 2004, Astrophys. J. 607, 665

Eisenstein D.J., et al., 2005, Astophys. J. 633, 560

Downloads

Published

12-10-2025

Issue

Section

Research Articles

How to Cite

[1]
A. Ameen and R. P. Wankhade, Trans., “Anisotropic Expansion and Late-Time Acceleration in Bimetric Gravity: LRS Bianchi Type-I Universe with Stiff Matter”, Int J Sci Res Sci & Technol, vol. 12, no. 5, pp. 448–455, Oct. 2025, doi: 10.32628/IJSRST25126240.