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Mapping between different cosmological eras in scale-covariant formalism

Departamento de Física, Universidade Tecnológica Federal do Paraná, Av. Sete de Setembro 3165, 80230-901 Curitiba, Brazil

E-mail Address: gravitam@yahoo.com.br

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Fernando P. Devecchi

Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-980 Curitiba, Brazil

E-mail Address: devecchi@fisica.ufpr.br

Corresponding author.

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Gilberto M. Kremer

Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-980 Curitiba, Brazil

E-mail Address: kremer@fisica.ufpr.br

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https://doi.org/10.1142/S0217751X2050044XCited by:3 (Source: Crossref)

Abstract

In this work we consider the scale-covariant formalism proposed by Canuto et al., $^{1, 2}$ in order to map different eras of the universe. This technique considers a scale gauge function that can be adjusted by using different arguments like Dirac’s large numbers hypothesis or a restriction on the particle production rate. A Chaplygin constituent shows to be a consistent idea to establish a mapping between an old decelerated–accelerated universe ruled by Einstein equations and an early universe, where a new equation of state appears together with a modified general relativity theory and a de Sitter universe then emerges. These properties are a direct consequence of the use of the scale-covariant formalism. Besides, a new discussion and remarks are presented related to the well-known barotropic constituent case.

Keywords:

PACS: 95.36.+x

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References

1. V. Canuto, S. H. Hsieh and P. J. Adams, Phys. Rev. Lett. 39, 429 (1977). Web of Science, ADS, Google Scholar
2. V. Canuto, P. J. Adams, S.-H. Hsieh and E. Tsiang, Phys. Rev. D 16, 1643 (1977). Web of Science, ADS, Google Scholar
3. P. A. M. Dirac, Nature 137, 323 (1939). Google Scholar
4. M. Biesiada and B. Malek, Mon. Not. R. Astron. Soc. 350, 644 (2004). Web of Science, ADS, Google Scholar
5. E. García-Berro, J. Isern and Y. A. Kubyshin, Astron. Astrophys. Rev. 14, 113 (2007). Web of Science, ADS, Google Scholar
6. P. S. Wesson, Gravity, Particles, and Astrophysics: A Review of Modern Theories of Gravity (Springer, 1980). Google Scholar
7. A. Beesham, Class. Quantum Grav. 3, 481 (1986). Web of Science, ADS, Google Scholar
8. T. Rothman and R. Matzner, Astrophys. J. 257, 450 (1982). Web of Science, ADS, Google Scholar
9. V. Mansfield and S. Malin, Astrophys. J. 237, 349 (1980). Web of Science, ADS, Google Scholar
10. D. R. K. Reddy and B. Satyanarayana, Int. J. Theor. Phys. 51, 10 (2012). Google Scholar
11. K. M. Singh, S. Mandal, L. P. Devi and P. K. Sahoo, New Astron. 77, 101353 (2020). Web of Science, Google Scholar
12. M. Zeyauddin and B. Saha, Astrophys. Space Sci. 343, 445 (2013). Web of Science, ADS, Google Scholar
13. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003). Web of Science, ADS, Google Scholar
14. G. M. Kremer and F. P. Devecchi, Phys. Rev. D 66, 063503 (2003). Web of Science, Google Scholar
15. R. Jackiw, Lectures on Fluid Dynamics: A Particle Theorist’s View of Supersymmetric, non-Abelian, Noncommutative Fluid Mechanics and d-Branes (Springer, New York, 2002). Google Scholar
16. A. Kamenshchik, U. Moschella and V. Pasquier, Phys. Lett. B 511, 265 (2001). Web of Science, ADS, Google Scholar
17. V. Gorini, A. Kamenshchik and U. Moschella, Phys. Rev. D 67, 063509 (2003). Web of Science, ADS, Google Scholar
18. G. M. Kremer, Gen. Relativ. Gravit. 35, 1459 (2003). Web of Science, ADS, Google Scholar