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Main Author: McMaken, Tyler
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.13221
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author McMaken, Tyler
author_facet McMaken, Tyler
contents Black holes modeled by the Kerr metric are not semiclassically self-consistent at or below the inner horizon. The renormalized stress-energy tensor (RSET) of a scalar quantum field in the Unruh state has been found to diverge at the Kerr inner horizon [arXiv:2203.08502], causing the geometry to backreact in a non-trivial way. In an effort to understand this backreaction, here the inner-horizon RSET is computed for the full physically relevant parameter space of black hole spins $a$ and polar angles $θ$. Then, the backreaction is analyzed using a framework for the dynamical behavior of mass inflation from continued accretion. It is shown that the initial backreaction from the RSET does not evolve the spacetime toward any known regular or extremal configuration, but instead it brings the local interior geometry toward a chaotic, spacelike singularity, classically stable over astrophysical timescales.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13221
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Backreaction from quantum fluxes at the Kerr inner horizon
McMaken, Tyler
General Relativity and Quantum Cosmology
Black holes modeled by the Kerr metric are not semiclassically self-consistent at or below the inner horizon. The renormalized stress-energy tensor (RSET) of a scalar quantum field in the Unruh state has been found to diverge at the Kerr inner horizon [arXiv:2203.08502], causing the geometry to backreact in a non-trivial way. In an effort to understand this backreaction, here the inner-horizon RSET is computed for the full physically relevant parameter space of black hole spins $a$ and polar angles $θ$. Then, the backreaction is analyzed using a framework for the dynamical behavior of mass inflation from continued accretion. It is shown that the initial backreaction from the RSET does not evolve the spacetime toward any known regular or extremal configuration, but instead it brings the local interior geometry toward a chaotic, spacelike singularity, classically stable over astrophysical timescales.
title Backreaction from quantum fluxes at the Kerr inner horizon
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2405.13221