Abstract
In general, to avoid a singularity in cosmological models involves the introduction of exotic kind of matter fields, for example, a scalar field with negative energy density. In order to have a bouncing solution in classical General Relativity, violation of the energy conditions is required. In this work, we discuss a case of the bouncing solution in the Brans-Dicke theory with radiative fluid that obeys the energy conditions, and with no ghosts.
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L. E. Gurevich, A. M. Finkelstein, and V. A. Ruban, Astrophys. Space Sci. 22, 231 (1973).
J. D. Barrow and P. Parsons, Phys. Rev. D 55, 1906 (1997).
T. Clifton and J. D. Barrow, Phys. Rev. D 73, 104022 (2006).
J. P. Mimoso and D. Wands, Phys. Rev. D 52, 5612 (1995).
C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).
M. Rossi, M. Ballardini, M. Braglia, F. Finelli, D. Paoletti, A. A. Starobinsky, and C. Umiltà, arXiv:1906.10218 [astro-ph] (2019).
G. Brando, J. C. Fabris, F. T. Falciano, and O. Galkina, Int. J. Mod. Phys. D 28, 1950156 (2019).
G. Brando, F. T. Falciano, and L. F. Guimarães, Phys. Rev. D 98, 044027 (2018).
A. Paliathanasis, M. Tsamparlis, S. Basilakos, and J. D. Barrow, Phys. Rev. D 93, 043528 (2016).
D. A. Tretyakova, B. N. Latosh, and S. O. Alexeyev, Class. Quantum Grav. 32, 185002 (2015).
V. Faraoni, J. Côté, and A. Giusti, arXiv: 1906.05957[gr-qc] (2019).
E. Frion and C. R. Almeida, Phys. Rev. D 99, 023524 (2019).
T. Kobayashi, Rep. Prog. Phys. 82, 086901 (2019).
C. M. Will, Theory and Experiment in Gravitational Physics, 2nd ed. (Cambridge Univ. Press, Cambridge, 2018).
M. J. Duff, R. R. Khuri, and J. X. Lu, Phys. Rep. 259, 213 (1995).
K. A. Bronnikov, J. Math. Phys. 43, 6096 (2002).
A. A. Starobinsky, Sov. Astron. Lett. 7, 36 (1981).
L. Parker and S. A. Fulling, Phys. Rev. D 7, 2357 (1973).
A. A. Starobinsky, Sov. Astron. Lett. 4, 82 (1978).
A. Yu. Kamenshchik, I. M. Khalatnikov, and A. V. Toporensky, Int. J. Mod. Phys. D 6, 673 (1997).
A. Yu. Kamenshchik, I. M. Khalatnikov, S. V. Savchenko, and A. V. Toporensky, Phys. Rev. D 59, 1235 (1999).
A. Yu. Kamenshchik, E. O. Pozdeeva, S. Vernov, A. Tronconi, and G. Venturi, Phys. Rev. D 94, 063510 (2016).
J. P. Baptista, J. C. Fabris, and S. V. B. Gonçalves, Astrophys. Space Sci. 246, 315 (1996).
A. B. Batista, J. C. Fabris, and J. P. Baptista, C.R. Acad. Sci. 309, 791 (1989).
S. D. P. Vitenti and N. Pinto-Neto, Phys. Rev. D 85, 023524 (2012).
Funding
This work was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, Brazil), by Fundação de Apoio à Pesquisa e Inovação do Espírito Santo (FAPES, Brazil), and in part by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES)-Finance Code 001.
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Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 110, No. 8, pp. 515–520.
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Galkina, O., Fabris, J.C., Falciano, F.T. et al. Regular Bouncing Solutions, Energy Conditions, and the Brans—Dicke Theory. Jetp Lett. 110, 523–528 (2019). https://doi.org/10.1134/S0021364019200013
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DOI: https://doi.org/10.1134/S0021364019200013