Collapsing thin shells with rotation

TL;DR

This paper presents exact solutions for rotating thin shells in five-dimensional rotating black hole spacetimes, revealing how rotation influences shell dynamics, pressures, and stationary configurations.

Contribution

It introduces a novel approach to modeling rotating thin shells with backreaction in higher-dimensional black hole backgrounds, including new stationary solutions.

Findings

Rotation induces anisotropic pressures and momentum in the shell.

The radial motion is governed by Darmois-Israel junction conditions.

New stationary solutions for rotating shells are identified.

Abstract

We construct exact solutions describing the motion of rotating thin shells in a fully backreacted five-dimensional rotating black hole spacetime. The radial equation of motion follows from the Darmois-Israel junction conditions, where both interior and exterior geometries are taken to be equal angular momenta Myers-Perry solutions. We show that rotation generates anisotropic pressures and momentum along the shell. Gravitational collapse scenarios including rotation are analyzed and a new class of stationary solutions is introduced. Energy conditions for the matter shell are briefly discussed.