Cited by 13Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

On the consistency of a repulsive gravity phase in the early Universe

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Batista, A B, Fabris, J C, Gonçalves, S V B·2001·Classical and Quantum Gravity

Abstract

We exploit the possibility of existence of a repulsive gravity phase in the evolution of the Universe. A toy model with a free scalar field minimally coupled to gravity, but with the `wrong sign' for the energy and negative curvature for the spatial section, is studied in detail. The background solutions display a bouncing, non-singular Universe. The model is well behaved with respect to tensor perturbations. However, it exhibits growing models with respect to scalar perturbations whose maximum occurs in the bouncing. Hence, large inhomogeneities are produced. At least for this case, a repulsive phase may destroy homogeneity, and in this sense it may be unstable. A Newtonian analogous model is worked out; it displays qualitatively the same behaviour. The generality of this result is discussed. In particular, it is shown that the addition of an attractive radiative fluid does not essentially change the results. We also discuss a quantum version of the classical repulsive phase, through the Wheeler-DeWitt equation in minisuperspace, and we show that it displays essentially the same scenario as the corresponding attractive phase.

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Crossref · 10.1088/0264-9381/18/7/319

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Authors
Batista, A. B., Fabris, J. C., & Gonçalves, S. V. B.
Affiliations
Universidade Federal do Espírito Santo (BR)
Venue
Classical and Quantum Gravity
Published
2001-03-19
Volume
18
Issue
7
Pages
1389-1403
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
OpenAlex
W2018014712
Cited by
13
References
0
Citations by year
2023: 1 · 2021: 1 · 2017: 1 · 2015: 1 · 2014: 1 · 2012: 1
FWCI
1.43
Type
journal article
Language
en
Open access
Locations
  • Classical and Quantum Gravity (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
early universe, bounce cosmology, non-singular cosmology, negative spatial curvature, tensor perturbations, scalar perturbations, Wheeler-DeWitt equation, minisuperspace, quantum cosmology

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