Black holes in a dense infinite medium: a toy-model regularizing the Schwarzschild metric

TL;DR

This paper proposes a simple modification to the Schwarzschild metric to better model black hole accretion in dense media, leading to finite mass growth and altered thermodynamics, with implications for quantum gravity.

Contribution

It introduces a heuristic regularization of the Schwarzschild metric for dense media, improving the physical behavior of black hole models in such environments.

Findings

Mass divergence at finite time is eliminated.

Thermodynamical properties of black holes are significantly altered.

Potential implications for quantum gravity and bouncing cosmological models.

Abstract

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible anymore. The resulting behavior is drastically modified: the mass divergence at finite time is cured and the thermodynamical properties are deeply changed. Some potential consequences for quantum gravity and bouncing models are also pointed out. Those conclusions being mostly obtained from a Newtonian approach, they only aim at guiding toward a more rigorous treatment. Still, interestingly, the behavior is far more convincing that the one usually obtained.