Higher-Dimensional Anisotropic Modified Holographic Ricci Dark Energy Cosmological Model in Lyra Manifold

Springer Science and Business Media LLC - Tập 64 - Trang 258-275 - 2021
K. Das1, J. Bharali1
1Department of Mathematics, Gauhati University, Gauhati, India

Tóm tắt

We used modified holographic Ricci dark energy to find anisotropic LRS Bianchi type I cosmological model in five-dimensions based on Lyra geometry. The exact solutions of the Einstein field equations were obtained by using hybrid expansion law (HEL). We have investigated the interacting and noninteracting dark energy and dark matter. It is found that at late times the equation of state parameter (EOS) for non-interacting case behaves like a cosmological constant whereas it behaves like phantom dark energy for interacting model. Some cosmological parameters and stability of the models are discussed. The physical and geometric aspects of the models have been analysed. They are consistent with the recent observational results.

Tài liệu tham khảo

A. G. Riess, A. V. Filippenko, P. Challis et al., Astron. J., 116, 1009, 1998. S. Perlmutter, G. Aldering, G. Goldhaber et al., Astrophys. J., 517, 565, 1999. M. Tegmark, M. Strauss, M. Blanton et al., Phys. Rev. D, 69, 103501, 2004. D. J. Eisenstein et al., SDSS Collaboration. Astrophys. J., 633, 560, 2005. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys., 75, 559, 2003. S. Weinberg, Rev. Mod. Phys., 61, 1, 1989. J. M. Overduin and F. I. Coperstock, Phys. Rev. D, 58, 0433506, 1998. P. J. Steinhardt, L. M. Wang, and I. Zlatev, Phys. Rev. D, 59, 123504, 1999. R. R. Caldwell, Phys. Lett. B., 545, 23, 2002. S. Noijiri, S. D. Odintov, and S. Tsujikawa, Phys. Rev. D, 71, 063004, 2005. T. Padmanabhan, Phys. Rev. D, 66, 021301, 2002. M. Gasperini, F. Piazza, and G. Veneziano, Phys. Rev. D, 65, 023508, 2002. M. R. Setare, Phys. Lett., B., 654(1-2), 1, 2007. H. Wei and R. G. Cai, Phys. Lett. B., 655(1-2), 1, 2007. W. Zimdahl, D. J. Schwarz, A. B. Balakin et al., Phys. Rev. D, 64, 063501, 2001. M. Cataldo, N. Cruz, and S. Lepe, Phys. Lett. B., 619, 5, 2005. J. Ren and X. H. Meng, Phys. Lett. B, 636, 5, 2006. P. A. R. Ade and N. Aghanim, C. Armitage-Caplan et al., arXiv:1303. 5076, 2013. T. Kaluza, Sitz. Press. Akad. Wiss., 33, 966, 1921. O. Klein, Z. Phys., 37, 895, 1926. A. Chodos and S. Detweller, Phys. Rev. D, 21, 2167, 1980. M. Yoshimura, Phys. Rev. D, 34, 1021, 1986. T. Koikawa, Phys. Lett. A, 117, 279, 1986. R. C. Myers and M. J. Perry, Ann. Phys. (NY), 172, 304, 1986. K. D. Krori, P. Borgohain, and K. Das, Phys. Lett. A, 132, 321, 1988. D. R. K. Reddy and N. Venkateswar Rao, Astrophys. Space Sci., 277, 461, 2001. K. S. Adhav, A. S. Bansod, S. L. Munde et al., Astrophys. Space Sci., 332, 497, 2011. D. R. K. Reddy, S. Anitha, and S. Umadevi, Astrophys. Space Sci., 361, 123, 2016. G. ‘t Hooft, arXiv: gr-qc/9310026, 1993. M. Li, Phys. Lett. B, 603, 1, 2004. C. Gao, F. Wu, X. Chen et al., Phys. Rev. D, 79, 043511, 2009. L. N. Granda and A. Oliveros, Phys. Lett. B, 671, 199, 2009. L. N. Granda and A. Oliveros, Phys. Lett. B, 669, 275, 2008. S. Chen, J. Jing, Phys. Lett. B, 679, 144150, 2009. S. D. Katore, K. S. Adhav, and M. M. Sanchti, Astrophys. Space Sci., 337, 393, 2012. S. Kumar and A. K. Yadhav, Mod. Phys. Lett A, 26, 647, 2011. H. Weyl, Ann. Phys. Leipzig, 54, 117, 1918. G. Lyra, Math. Z., 54, 52, 1951. D. K. Sen, Z. Phys., 149, 311, 1957. D. K. Sen and K. A. Dunn, J. Math. Phys., 12, 578, 1971. A. Beesham, Australian. J. Phys., 41, 833, 1988. T. Singh and G. P. Singh, Int. J. Theor. Phys., 31, 1433, 1992. W. D. Halford, Australian. J. Phys., 23, 863, 1970. F. Rahman, S. Chakravorty, N. Begum et al., Fizika B, 11, 57, 2002. F. Rahman, S. Das, N. Begum et al., Pramana. J. Phys., 61, 153, 2003. G. P. Singh and K. Desikan, Pramana. J. Phys., 49(2), 205, 1997. K. S. Adhav, Int. J. Astron. Astrophys., 1, 204, 2011. O. Akarsu, S. Kumar, R. Myrzakulov et al., J. Cosmol. Astropart. Phys., 01, 022, 2014. H. Wei and R. G. Cai, Eur. Phys. J. C, 59, 99, 2009. S. Chiba and T. Nakamura, Prog. Theor. Phys., 100, 1077, 1998. R. D. Blandford, M. Amin, E. A. Baltz et al., arXiv:astro-ph/0408279, 2004. V. Sahin, arXiv:astro-ph/0211084, 2002. M. Visser, Class. Quantum. Gravity., 21, 2603, 2004. V. Sahni, T. Deep Saini, A. A. Starobinsky et al., JETP Lett., 77, 201, 2003.