## Asymptotic Safety, Black-Hole Cosmology and the Universe as a Gravitating Vacuum State

**Authors:** Carlos Castro

A model of the Universe as a dynamical homogeneous anisotropic self-gravitating fluid, consistent with Kantowski-Sachs homogeneous anisotropic cosmology and Black-Hole cosmology, is developed. Renormalization Group (RG) improved black-hole solutions resulting from Asymptotic Safety in Quantum Gravity are constructed which explicitly $remove$ the singularities at $t = 0$. Two temporal horizons at $ t _- \simeq t_P$ (Planck time) and $ t_+ \simeq t_H$ (Hubble time) are found. For times below the Planck time $ t < t_P$, and above the Hubble time $ t > t_H$, the components of the Kantowski-Sachs metric exhibit a key sign $change$, so the roles of the spatial $z$ and temporal coordinates $ t$ are $exchanged$, and one recovers a $repulsive$ inflationary de Sitter-like core around $ z = 0$, and a Schwarzschild-like metric in the exterior region $ z > R_H = 2 G_o M $. Therefore, in this fashion one has found a dynamical Universe $inside$ a Black Hole whose Schwarzschild radius coincides with the Hubble radius $ r_s = 2 G_o M = R_H$. For these reasons we conclude by arguing that our Universe could be seen as a Gravitating Vacuum State inside a Black-Hole.

**Comments:** 13 Pages.

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### Submission history

[v1] 2020-01-13 05:45:21

[v2] 2020-01-13 23:41:57

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