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Rational nonlinear electrodynamics causes the inflation of the universe

Department of Physics, University of Toronto, 60 St. Georges St., Toronto, ON M5S 1A7, Canada

Department of Chemical and Physical Sciences, University of Toronto Mississauga, 3359 Mississauga Road North, Mississauga, ON L5L 1C6, Canada

E-mail Address: serguei.krouglov@utoronto.ca

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https://doi.org/10.1142/S0217751X20501687Cited by:15 (Source: Crossref)

Abstract

The source of the universe inflation is electromagnetic fields obeying rational nonlinear electrodynamics proposed earlier. Within this model the singularities of the electric field at the center of charges, the Ricci scalar, the Ricci tensor squared and the Kretschmann scalar are absent. We consider the universe which is filled by stochastic magnetic fields. It is demonstrated that the inflation lasts approximately $2$ s with the reasonable $e$ -folding number $N \approx 63$ . The inflation starts from de Sitter space–time and after the universe inflation end it decelerates approaching the radiation era.

Keywords:

PACS: 04.20.-q, 98.80.-k

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References

1. A. A. Starobinsky, Phys. Lett. B 91, 99 (1980). Crossref, Web of Science, ADS, Google Scholar
2. A. D. Linde, Lect. Notes Phys. 738, 1 (2008). Google Scholar
3. C. S. Camara, M. R. de Garcia Maia, J. C. Carvalho and J. A. S. Lima, Phys. Rev. D 69, 123504 (2004). Crossref, Web of Science, ADS, Google Scholar
4. V. A. De Lorenci, R. Klippert, M. Novello and J. M. Salim, Phys. Rev. D 65, 063501 (2002). Crossref, Web of Science, ADS, Google Scholar
5. M. Novello, S. E. Perez Bergliaffa and J. M. Salim, Phys. Rev. D 69, 127301 (2004). Crossref, Web of Science, ADS, Google Scholar
6. M. Novello, E. Goulart, J. M. Salim and S. E. Perez Bergliaffa, Class. Quantum Grav. 24, 3021 (2007). Crossref, Web of Science, ADS, Google Scholar
7. D. N. Vollick, Phys. Rev. D 78, 063524 (2008). Crossref, Web of Science, ADS, Google Scholar
8. R. García-Salcedo, T. Gonzalez, A. Horta-Rangel and I. Quiros, Phys. Rev. D 90, 128301 (2014). Crossref, Web of Science, ADS, Google Scholar
9. S. I. Kruglov, Phys. Rev. D 92, 123523 (2015). Crossref, Web of Science, ADS, Google Scholar
10. S. I. Kruglov, Int. J. Mod. Phys. A 31, 1650058 (2016). Link, Web of Science, ADS, Google Scholar
11. S. I. Kruglov, Int. J. Mod. Phys. D 25, 1640002 (2016). Link, Web of Science, ADS, Google Scholar
12. S. I. Kruglov, Int. J. Mod. Phys. A 32, 1750071 (2017). Link, Web of Science, ADS, Google Scholar
13. S. I. Kruglov, Eur. Phys. J. Plus 135, 370 (2020). Crossref, Web of Science, Google Scholar
14. S. I. Kruglov, Ann. Phys. 353, 299 (2014). Crossref, Web of Science, ADS, Google Scholar
15. D. Lemoine, Phys. Rev. D 51, 2677 (1995). Crossref, Web of Science, ADS, Google Scholar
16. D. Lemoine and M. Lemoine, Phys. Rev. D 52, 1955 (1995). Crossref, Web of Science, ADS, Google Scholar
17. P. P. Kronberg, Rep. Prog. Phys. 57, 325 (1994). Crossref, Web of Science, ADS, Google Scholar
18. A. Neronov and I. Vovk, Science 328, 73 (2010). Crossref, Web of Science, ADS, Google Scholar
19. A. M. Taylor, I. Vovk and A. Neronov, Astron. Astrophys. 529, A144 (2011). Crossref, Web of Science, ADS, Google Scholar
20. K. Subramanian, Rep. Prog. Phys. 79, 076901 (2016). Crossref, Web of Science, Google Scholar
21. B. M. Gaensler, R. Beck and L. Feretti, New Astron. Rev. 48, 1003 (2004). Crossref, Web of Science, ADS, Google Scholar
22. S. I. Kruglov, Dyonic and magnetic black holes with rational nonlinear electrodynamics. https://doi.org/10.20944/preprints202001.0049.v1 Google Scholar
23. S. I. Kruglov, The shadow of M87* black hole within rational nonlinear electrodynamics, Mod. Phys. Lett. A (in press). https://doi.org/10.20944/preprints202004.0228.v2 Google Scholar
24. W. Ditrich and H. Gies, Probing the Quantum Vacuum, in Springer Tracts in Modern Physics, Vol. 166 (Springer, 2000). Google Scholar
25. A. R. Liddle and H. Lyth, Cosmological Inflation and Large-Scale Structure (Cambridge University Press, 2000). Crossref, Google Scholar
26. K. Bamba, S. Nojiri and S. D. Odintsov, Phys. Rev. D 90, 124061 (2014). Crossref, Web of Science, ADS, Google Scholar
27. Planck Collab. (P. A. R. Ade et al.), Astron. Astrophys. 571, A16 (2014), arXiv:1303.5083, arXiv:1303.5082, arXiv:1303.5076. Crossref, Web of Science, Google Scholar
28. WMAP Collab. (E. Komatsu et al.), Astrophys. J. Suppl. 192, 18 (2011), arXiv:1001.4538. Crossref, Web of Science, Google Scholar
29. WMAP Collab. (G. Hinshaw et al.), Astrophys. J. Suppl. 208, 19 (2013), arXiv:1212.5226. Crossref, Web of Science, Google Scholar
30. S. Nojiri and S. D. Odintsov, Phys. Rev. D 70, 103522 (2004). Crossref, Web of Science, ADS, Google Scholar
31. A. V. Astashenok, S. Nojiri, S. D. Odintsov and R. J. Scherrer, Phys. Lett. B 713, 145 (2012). Crossref, Web of Science, ADS, Google Scholar
32. M. G. Ganiou, M. J. S. Houndjo, I. G. Salako, M. E. Rodrigues and J. Tossa, Astrophys. Space Sci. 361, 210 (2016). Crossref, Web of Science, ADS, Google Scholar