Research PapersNo Access

De Sitter and bounce solutions from anisotropy in extended gravity cosmology

Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad 500078, India

Corresponding author.

Departamento de Física e Química, UNESP — Universidade Estadual Paulista “Júlio de Mesquita Filho”, Guaratinguetá 12516-410, São Paulo, Brazil

Search for more papers by this author

, and

P. H. R. S. Moraes

Departamento de Física, ITA — Instituto Tecnológico de Aeronáutica, São José dos Campos, São Paulo 12228-900, Brazil

UNINA — Università degli Studi di Napoli Federico II, Napoli 80126, Italy

Search for more papers by this author

https://doi.org/10.1142/S0217732319503218Cited by:12 (Source: Crossref)

Abstract

We investigate the consequences of incepting the Bianchi type I metric in the $f (R, T)$ gravity theory field equations. We particularly derive solutions for a matter-dominated universe. From such a scenario, it is possible to predict a late-time de Sitter universe. Moreover, depending on the numerical fitting function for the scale factor, the universe is predicted to bounce and evade the Big Bang singularity.

Keywords:

PACS: 04.50kd

References

1. Supernova Search Team Collab. (A. G. Riess et al.), Astron. J. 116, 1009 (1998). Crossref, Web of Science, Google Scholar
2. Supernova Cosmology Project Collab. (S. Perlmutter et al.), Astrophys. J. 517, 565 (1999). Crossref, Web of Science, Google Scholar
3. E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). Link, Web of Science, ADS, Google Scholar
4. J. Frieman, M. Turner and D. Huterer, Annu. Rev. Astron. Astrophys. 46, 385 (2008). Crossref, Web of Science, ADS, Google Scholar
5. A. Silvestri and M. Trodden, Rep. Prog. Phys. 72, 096901 (2009). Crossref, Web of Science, Google Scholar
6. R. R. Caldwell and M. Kaminokowski, Annu. Rev. Nucl. Part. Sci. 59, 397 (2009). Crossref, Web of Science, ADS, Google Scholar
7. M. Sami, Curr. Sci. 97, 887 (2009). Web of Science, Google Scholar
8. K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012). Crossref, Web of Science, ADS, Google Scholar
9. S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011). Crossref, Web of Science, ADS, Google Scholar
10. T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov, Phys. Rev. D 84, 024020 (2011). Crossref, Web of Science, ADS, Google Scholar
11. T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rep. 513, 1 (2012). Crossref, Web of Science, ADS, Google Scholar
12. LIGO Collab. (B. P. Abott et al.), Phys. Rev. Lett. 116, 061102 (2016). Crossref, Web of Science, Google Scholar
13. D. Castelvecchi and A. Witze, Nature 530, 261 (2016). Crossref, Web of Science, ADS, Google Scholar
14. C. M. Will, Living Rev. Relativ. 9, 3 (2006). Crossref, Web of Science, ADS, Google Scholar
15. S. M. Carrol et al., Phys. Rev. D 70, 043528 (2004). Crossref, Web of Science, ADS, Google Scholar
16. W. A. Hellwing et al., J. Cosmol. Astropart. Phys. 2013(10), 012 (2013). Crossref, Web of Science, Google Scholar
17. J. Sakstein, Phys. Rev. D 95, 064013 (2017). Crossref, Web of Science, ADS, Google Scholar
18. C. Penzo et al., Mon. Not. R. Astron. Soc. 461, 2490 (2016). Crossref, Web of Science, ADS, Google Scholar
19. S. Nojiri and S. D. Odintsov, Phys. Lett. B 686, 44 (2010). Crossref, Web of Science, ADS, Google Scholar
20. R. Durrer and R. Maartens, Gen. Relat. Gravit. 40, 301 (2008). Crossref, Web of Science, ADS, Google Scholar
21. S. Nojiri and S. D. Odintsov, Phys. Rev. D 74, 086005 (2006). Crossref, Web of Science, ADS, Google Scholar
22. S. K. Tripathy and B. Mishra, Eur. Phys. J. Plus 131, 273 (2016). Crossref, Web of Science, Google Scholar
23. B. Li, J. D. Barrow and D. F. Mota, Phys. Rev. D 76, 044027 (2007). Crossref, Web of Science, ADS, Google Scholar
24. G. Kofinas and E. N. Saridakis, Phys. Rev. D 90, 084044 (2014). Crossref, Web of Science, ADS, Google Scholar
25. R. Myrzakulov, Eur. Phys. J. C 71, 1752 (2011). Crossref, Web of Science, ADS, Google Scholar
26. S. H. Chen, J. B. Dent, S. Dutta and E. N. Saridakis, Phys. Rev. D 83, 023508 (2011). Crossref, Web of Science, ADS, Google Scholar
27. J. B. Dent, S. Dutta and E. N. Saridakis, J. Cosmol. Astropart. Phys. 2011(01), 009 (2011). Crossref, Web of Science, Google Scholar
28. T. Harko, F. S. Lobo, G. Otalora and E. N. Saridakis, Phys. Rev. D 89, 124036 (2014). Crossref, Web of Science, ADS, Google Scholar
29. Planck Collab. (P. A. R. Ade et al.), Astron. Astrophys. 571, A16 (2014). Crossref, Web of Science, Google Scholar
30. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989). Crossref, Web of Science, ADS, Google Scholar
31. T. Padmanabhan, Phys. Rep. 380, 235 (2003). Crossref, Web of Science, ADS, Google Scholar
32. R.-J. Yang and S. N. Zhang, Mon. Not. R. Astron. Soc. 407, 1835 (2010). Crossref, Web of Science, ADS, Google Scholar
33. A. K. Yadav and L. Yadav, Int. J. Theor. Phys. 50, 218 (2011). Crossref, Web of Science, Google Scholar
34. A. Pradhan and H. Amirhashchi, Astrophys. Space Sci. 332, 441 (2011). Crossref, Web of Science, ADS, Google Scholar
35. S. Kumar and A. K. Yadav, Mod. Phys. Lett. A 26, 647 (2011). Link, Web of Science, ADS, Google Scholar
36. M. E. Rodrigues et al., Phys. Rev. D 86, 104059 (2012). Crossref, Web of Science, ADS, Google Scholar
37. M. Sharif and H. R. Kausar, Phys. Lett. B 697, 1 (2011). Crossref, Web of Science, ADS, Google Scholar
38. B. Mishra, S. Tarai and S. K. Tripathy, Adv. High Energy Phys. 2016, 8543560 (2016). Google Scholar
39. B. Mishra, S. Tarai and S. K. Tripathy, Indian J. Phys. 92, 1199 (2018). Crossref, Web of Science, ADS, Google Scholar
40. B. Mishra, S. K. Tripathy and S. Tarai, Mod. Phys. Lett. A 33, 1850052 (2018). Link, Web of Science, ADS, Google Scholar
41. B. Mishra, S. Tarai and S. K. Tripathy, Mod. Phys. Lett. A 33, 1850170 (2018). Link, Web of Science, ADS, Google Scholar
42. D. R. K. Reddy et al., Int. J. Theor. Phys. 52, 239 (2013). Crossref, Web of Science, Google Scholar
43. J. K. Singh and N. K. Sharma, Int. J. Theor. Phys. 53, 1424 (2014). Crossref, Web of Science, Google Scholar
44. F. M. Esmaeli and B. Mishra, J. Astrophys. Astron. 39, 59 (2018). Crossref, Web of Science, ADS, Google Scholar
45. S. Tarai and B. Mishra, Eur. Phys. J. Plus 133, 435 (2018). Crossref, Web of Science, Google Scholar
46. M. Sharif and M. Zubair, Astrophys. Space Sci. 349, 457 (2014). Crossref, Web of Science, ADS, Google Scholar
47. A. Ashtekar and E. Wilson-Ewing, Phys. Rev. D 79, 083535 (2009). Crossref, Web of Science, ADS, Google Scholar
48. E. Wilson-Ewing, Phys. Rev. D 82, 043508 (2010). Crossref, Web of Science, ADS, Google Scholar
49. A. Ashtekar and E. Wilson-Ewing Phys. Rev. D 80, 123532 (2009). Crossref, Web of Science, ADS, Google Scholar
50. Y.-F. Cai et al., JHEP 2007(10), 071 (2007). Crossref, Web of Science, Google Scholar
51. T. Biswas et al., J. Cosmol. Astropart. Phys. 2010(11), 008 (2010). Crossref, Web of Science, Google Scholar
52. T. Biswas et al., J. Cosmol. Astropart. Phys. 2012(08), 024 (2012). Crossref, Web of Science, Google Scholar
53. C. Barragán and G. J. Olmo, Phys. Rev. D 82, 084015 (2010). Crossref, Web of Science, ADS, Google Scholar
54. P. H. R. S. Moraes, Astrophys. Space Sci. 352, 273 (2014). Crossref, Web of Science, ADS, Google Scholar
55. P. H. R. S. Moraes, R. A. C. Correa and R. V. Lobato, J. Cosmol. Astropart. Phys. 2017(07), 029 (2017). Crossref, Web of Science, Google Scholar
56. A. Das et al., Phys. Rev. D 95, 124011 (2017). Crossref, Web of Science, ADS, Google Scholar
57. A. Das et al., Eur. Phys. J. C 76, 654, (2016). Crossref, Web of Science, ADS, Google Scholar
58. P. H. R. S. Moraes, J. D. V. Arbañil and M. Malheiro, J. Cosmol. Astropart. Phys. 2016(06), 005 (2016). Crossref, Web of Science, Google Scholar
59. P. H. R. S. Moraes and R. A. C. Correa, Astrophys. Space Sci. 361, 91 (2016). Crossref, Web of Science, ADS, Google Scholar
60. R. A. C. Correa and P. H. R. S. Moraes, Eur. Phys. J. C 76, 100 (2016). Crossref, Web of Science, ADS, Google Scholar
61. P. H. R. S. Moraes, Eur. Phys. J. C 75, 168 (2015). Crossref, Web of Science, ADS, Google Scholar
62. A. K. Yadav and B. Saha, Astrophys. Space Sci. 337, 759 (2012). Crossref, Web of Science, ADS, Google Scholar
63. I. P. Neupane, Class. Quantum Gravit. 21, 18 (2004). Crossref, Web of Science, Google Scholar
64. R. Nagpal et al., Ann. Phys. 405, 234 (2019). Crossref, Web of Science, ADS, Google Scholar