The interior structure of rotating black holes 1. Concise derivation

TL;DR

This paper derives a new, concise set of solutions describing the interior structure of rotating black holes, highlighting mass inflation and collapse phenomena near the inner horizon.

Contribution

It provides a fully nonlinear, dynamical solution for rotating black hole interiors, incorporating conformal stationarity and separability, and elucidates the collapse process at tiny scales.

Findings

Mass inflation occurs at the inner horizon due to counter-streaming.

Solutions fail at an exponentially tiny radius where rotational motion dominates.

Provides a detailed dynamical model from just above the inner horizon inward.

Abstract

This paper presents a concise derivation of a new set of solutions for the interior structure of accreting, rotating black holes. The solutions are conformally stationary, axisymmetric, and conformally separable. Hyper-relativistic counter-streaming between freely-falling collisionless ingoing and outgoing streams leads to mass inflation at the inner horizon, followed by collapse. The solutions fail at an exponentially tiny radius, where the rotational motion of the streams becomes comparable to their radial motion. The papers provide a fully nonlinear, dynamical solution for the interior structure of a rotating black hole from just above the inner horizon inward, down to a tiny scale.