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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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 (, chapter 9), there are geometries with scalars which diverge but such spacetimes are geodesically complete. An example for this case is found in Ref. , 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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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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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
- Bouncing cosmology
- Regular black holes
- Cosmological principle