The interior structure of slowly rotating black holes

TL;DR

This paper derives the internal structure of slowly rotating, charged black holes undergoing mass inflation, showing that angular behavior decouples from radial behavior and inflation occurs only radially.

Contribution

It extends the understanding of mass inflation to slowly rotating black holes, providing exact solutions and demonstrating angular decoupling.

Findings

Quantities inflate only in the radial direction.

Angular behavior decouples from radial behavior.

Small accretion rates have negligible effect on angular structure.

Abstract

The internal structure of a slowly rotating, charged black hole that is undergoing mass inflation at its inner horizon is derived. The equations governing the angular behavior decouple from the radial behavior, so all conclusions regarding inflation in a spherical charged black hole carry through unchanged for a slowly-rotating black hole. Quantities inflate only in the radial direction, not in the angular direction. Exact self-similar solutions are obtained. For sufficiently small accretion rates, the instantaneous angular motion of the accretion flow has negligible effect on the angular spacetime structure of the black hole, even if the instantaneous angular momentum of the accretion flow is large and arbitrarily oriented.