Backreaction from quantum fluxes at the Kerr inner horizon

TL;DR

This paper investigates the quantum backreaction effects at the Kerr black hole's inner horizon, revealing that quantum fluxes induce a chaotic, spacelike singularity rather than stabilizing the horizon.

Contribution

It provides a comprehensive calculation of the renormalized stress-energy tensor across the full Kerr parameter space and analyzes its backreaction, showing the development of a chaotic singularity.

Findings

RSET diverges at the Kerr inner horizon

Backreaction leads to a chaotic, spacelike singularity

No known regular or extremal configuration is approached

Abstract

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 $\theta$. 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.