Bouncing cosmology inspired by regular black holes

Abstract

In this article, we present a bouncing cosmology inspired by a family of regular black holes. This scale-dependent cosmology deviates from the cosmological principle by means of a scale factor which depends on the time and the radial coordinate as well. The model is isotropic but not perfectly homogeneous. That is, this cosmology describes a universe almost homogeneous only for large scales, such as our observable universe.

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Fig. 1

Notes

  1. 1.

    Besides the scalars, another criterion to determine the spacetime regularity depends on the nonexistence of incomplete geodesics. In this sense, a nonsingular or regular spacetime is defined as geodesically complete. As we can see in Wald’s book ([29], chapter 9), there are geometries with scalars which diverge but such spacetimes are geodesically complete. An example for this case is found in Ref. [30], where a wormhole geometry has problem with scalars but it is geodesically complete. However, the standard FLRW cosmology presents the two problems: the geodesics are incomplete and the scalars diverge.

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Acknowledgements

This work was supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Brazil (Grant No. 2013/03798-3). I would like to thank Alberto Saa and an anonymous referee for comments and suggestions.

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Correspondence to J. C. S. Neves.

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Neves, J.C.S. Bouncing cosmology inspired by regular black holes. Gen Relativ Gravit 49, 124 (2017). https://doi.org/10.1007/s10714-017-2288-6

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Keywords

  • Bouncing cosmology
  • Singularity
  • Regular black holes
  • Cosmological principle