Quantum Gravity and String Theory


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.

Download: PDF

Submission history

[v1] 2020-01-13 05:45:21
[v2] 2020-01-13 23:41:57

Unique-IP document downloads: 12 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus