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Main Authors: Modesto, Leonardo, Akil, Ali, Bambi, Cosimo
Format: Preprint
Published: 2021
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Online Access:https://arxiv.org/abs/2106.03914
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author Modesto, Leonardo
Akil, Ali
Bambi, Cosimo
author_facet Modesto, Leonardo
Akil, Ali
Bambi, Cosimo
contents In any conformally invariant gravitational theory, the space of exact solutions is greatly enlarged. Therefore, we cannot exclude the Weyl's conformal invariance to be spontaneously broken to spherically symmetric vacuum solutions that exclude the spacetime region inside the black hole's event horizon from our Universe. We baptize these solutions {\it conformalons}. It turns out that for all such spacetimes nothing can reach the Schwarzschild event horizon in a finite amount of proper time for conformally coupled ``massive'' particles, or finite values of the affine parameter for massless particles. Therefore, for such vacuum solutions the surface $r = 2 M$ becomes an asymptotic region of the Universe. As a general feature, all conformalons show a gravitational blueshift instead of a gravitational redshift at the unattainable Schwarzschild event horizon, hence avoiding the Trans-Planckian problem in the Hawking evaporation process. Unexpectedly, the Hawking's temperature of the conformalons turns out to be negative and the thermodynamic interpretation leads us to speculate about a possible maximum energy state of the Hawking radiation. Contrary to the Schwarzschild spacetime, for the conformalons the gravitational collapse consists of matter that falls down forever towards the Schwarzschild horizon without ever reaching it. Hence, the annihilation process between the matter and Hawking's negative energy particles takes place outside the surface at $r = 2 M$. Finally, the information is not lost in the whole process of singularity-free collapse and evaporation.
format Preprint
id arxiv_https___arxiv_org_abs_2106_03914
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Conformalons: a new class of black hole mimickers
Modesto, Leonardo
Akil, Ali
Bambi, Cosimo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In any conformally invariant gravitational theory, the space of exact solutions is greatly enlarged. Therefore, we cannot exclude the Weyl's conformal invariance to be spontaneously broken to spherically symmetric vacuum solutions that exclude the spacetime region inside the black hole's event horizon from our Universe. We baptize these solutions {\it conformalons}. It turns out that for all such spacetimes nothing can reach the Schwarzschild event horizon in a finite amount of proper time for conformally coupled ``massive'' particles, or finite values of the affine parameter for massless particles. Therefore, for such vacuum solutions the surface $r = 2 M$ becomes an asymptotic region of the Universe. As a general feature, all conformalons show a gravitational blueshift instead of a gravitational redshift at the unattainable Schwarzschild event horizon, hence avoiding the Trans-Planckian problem in the Hawking evaporation process. Unexpectedly, the Hawking's temperature of the conformalons turns out to be negative and the thermodynamic interpretation leads us to speculate about a possible maximum energy state of the Hawking radiation. Contrary to the Schwarzschild spacetime, for the conformalons the gravitational collapse consists of matter that falls down forever towards the Schwarzschild horizon without ever reaching it. Hence, the annihilation process between the matter and Hawking's negative energy particles takes place outside the surface at $r = 2 M$. Finally, the information is not lost in the whole process of singularity-free collapse and evaporation.
title Conformalons: a new class of black hole mimickers
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2106.03914