Research PapersNo Access

Inflation in the Rényi cosmology

S. Ghaffari

Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh, Iran

E-mail Address: sh.ghaffari@riaam.ac.ir

Corresponding author.

Search for more papers by this author

A. H. Ziaie

Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh, Iran

E-mail Address: ah.ziaie@riaam.ac.ir

Search for more papers by this author

V. B. Bezerra

Departamento de Física, Univeidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB, Brazil

E-mail Address: valdir@fisica.ufpb.br

Search for more papers by this author

, and

H. Moradpour

Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, Maragheh, Iran

E-mail Address: h.moradpour@riaam.ac.ir

Search for more papers by this author

https://doi.org/10.1142/S0217732319503413Cited by:29 (Source: Crossref)

Abstract

The description of the accelerated phases for the current and primordial cosmos has been obtained in the framework of Rényi cosmology. The results show that corrections to the Friedmann equations, originated from differences between Rényi and Bekenstein entropies, can describe both the current accelerated and inflationary eras. The effects of these corrections can be appointed to a hypothetical fluid which is classically unstable. Although inflation can be obtained in Rényi cosmology as the vacuum solution, the values found for the parameters of the hypothetical fluid which supports the current accelerated and primary inflationary cosmos differ from each other.

Keywords:

PACS: 98.80.-k

References

1. A. Rényi, Probability Theory (North-Holland, 1970). Google Scholar
2. C. Tsallis, J. Stat. Phys. 52, 479 (1988). Crossref, Web of Science, ADS, Google Scholar
3. S. Abe, Phys. Rev. E 63, 061105 (2001). Crossref, Web of Science, ADS, Google Scholar
4. H. Touchette, Physica A 305, 84 (2002). Crossref, Web of Science, ADS, Google Scholar
5. M. Masi, Phys. Lett. A 338, 217 (2005). Crossref, Web of Science, ADS, Google Scholar
6. S. Abe, Foundations of nonextensive statistical mechanics in, Chaos, Nonlinearity, Complexity, Studies in Fuzziness and Soft Computing, ed. A. Sengupta, Vol. 206 (Springer, 2006), p. 53–72. Crossref, Google Scholar
7. C. Tsallis, Entropy 13, 1765 (2011). Crossref, Web of Science, ADS, Google Scholar
8. T. S. Biró and P. Ván, Phys. Rev. E 83, 061147 (2011). Crossref, Web of Science, ADS, Google Scholar
9. C. Tsallis and L. J. L. Cirto, Eur. Phys. J. C 73, 2487 (2013). Crossref, Web of Science, ADS, Google Scholar
10. T. S. Biró and V. G. Czinner, Phys. Lett. B 726, 861 (2013). Crossref, Web of Science, ADS, Google Scholar
11. E. M. C. Abreu, J. Ananias Neto, A. C. R. Mendes and W. Oliveira, Physica A 392, 5154 (2013). Crossref, Web of Science, ADS, Google Scholar
12. E. M. C. Abreu, J. Ananias Neto. Phys. Lett. B 727, 524 (2013). Crossref, Web of Science, ADS, Google Scholar
13. N. Komatsu and S. Kimura, Phys. Rev. D 88, 083534 (2013). Crossref, Web of Science, ADS, Google Scholar
14. N. Komatsu and S. Kimura, Phys. Rev. D 89, 123501 (2014). Crossref, Web of Science, ADS, Google Scholar
15. N. Komatsu and S. Kimura, Phys. Rev. D 90, 123516 (2014). Crossref, Web of Science, ADS, Google Scholar
16. O. Kamel and M. Tribeche, Ann. Phys. 342, 78 (2014). Crossref, Web of Science, Google Scholar
17. E. M. Barboza Jr., R. C. Nunes, E. M. C. Abreu and J. A. Neto, Physica A 436, 301 (2015). Crossref, Web of Science, ADS, Google Scholar
18. H. Moradpour, Int. J. Theor. Phys. 55, 4176 (2016). Crossref, Web of Science, Google Scholar
19. R. C. Nunes et al., J. Cosmol. Astropart. Phys. 2016(08), 051 (2016). Crossref, Web of Science, Google Scholar
20. N. Komatsu and S. Kimura, Phys. Rev. D 93, 043530 (2016). Crossref, Web of Science, ADS, Google Scholar
21. N. Komatsu, Eur. Phys. J. C 77, 229 (2017). Crossref, Web of Science, ADS, Google Scholar
22. H. Moradpour, A. Bonilla, E. M. C. Abreu and J. A. Neto, Phys. Rev. D 96, 123504 (2017). Crossref, Web of Science, ADS, Google Scholar
23. A. Majhi, Phys. Lett. B 775, 32 (2017). Crossref, Web of Science, ADS, Google Scholar
24. S. Ghaffari et al., Eur. Phys. J. C 78, 706 (2018). Crossref, Web of Science, ADS, Google Scholar
25. A. Sheykhi, Phys. Lett. B 785, 118 (2018). Crossref, Web of Science, ADS, Google Scholar
26. H. Ghaforyan, S. Shoorvazi, A. Sepehri and M. Ebrahimzadeh, Eur. Phys. J. C 78, 672 (2018). Crossref, Web of Science, ADS, Google Scholar
27. H. Moradpour, A. Sheykhi, C. Corda and I. G. Salako, Phys. Lett. B 783, 82 (2018). Crossref, Web of Science, ADS, Google Scholar
28. M. Tavayef, A. Sheykhi, K. Bamba and H. Moradpour, Phys. Lett. B 781, 195 (2018). Crossref, Web of Science, ADS, Google Scholar
29. A. Sayahian Jahromi et al., Phys. Lett. B 780, 21 (2018). Crossref, Web of Science, ADS, Google Scholar
30. H. Moradpour et al., Eur. Phys. J. C 78, 829 (2018). Crossref, Web of Science, ADS, Google Scholar
31. E. M. C. Abreu et al., EPL 124, 30003 (2018). Crossref, Web of Science, ADS, Google Scholar
32. N. Komatsu, arXiv:1810.11138. Google Scholar
33. S. Ghaffari et al., Phys. Dark Universe 23, 100246 (2019). Crossref, Web of Science, ADS, Google Scholar
34. B. B. Soares, E. M. Barboza Jr., E. M. C. Abreu and J. A. Neto, arXiv:1901.01839. Google Scholar
35. H. Moradpour, C. Corda, A. H. Ziaie and S. Ghaffari, arXiv:1902.01703. Google Scholar
36. C. Corda, Int. J. Mod. Phys. D 18, 2275 (2009). Link, Web of Science, ADS, Google Scholar
37. M. Roos, Introduction to Cosmology (John Wiley and Sons, 2003). Google Scholar
38. S. Watson, M. J. Perry, G. L. Kane and F. C. Adams, J. Cosmol. Astropart. Phys. 2007(11), 017 (2007). Crossref, Web of Science, Google Scholar
39. M. D. Cesare and M. Sakellariadou, Phys. Lett. B 764, 49 (2017). Crossref, Web of Science, ADS, Google Scholar
40. H. Falomir, J. Gamboa, F. Méndez and P. Gondolo, Phys. Rev. D 96, 083534 (2017). Crossref, Web of Science, ADS, Google Scholar
41. H. Moradpour, Y. Heydarzade, F. Darabi and I. G. Salako, Eur. Phys. J. C 77, 259 (2017). Crossref, Web of Science, ADS, Google Scholar