Extended black holes in strong gravitational waves

TL;DR

This paper introduces a broad class of higher-dimensional black hole solutions in various gravity theories that include strong, non-linear gravitational waves propagating along their worldvolume, with many arbitrary wave mode functions.

Contribution

It constructs new exact solutions describing extended black holes with non-linear gravitational waves in higher dimensions, encompassing pure gravity, dilaton gravity, and supergravity.

Findings

Solutions include space-filling and localized gravitational waves.

Many arbitrary functions describe wave amplitudes, indicating rich solution structures.

Analogues of Schwarzschild black holes and p-branes extended with gravitational waves.

Abstract

We describe a large class of solutions in pure gravity, dilaton gravity and supergravity corresponding to extended higher-dimensional black holes with strong (non-linear) gravitational waves propagating along their worldvolume. For pure gravity, the extended black holes are higher-dimensional analogs of the point-like Schwarzschild black hole in four dimensions. For supergravity, they are non-extremal p-branes. The gravitational waves can be both space-filling and localized around the worldvolume of the extended black holes. The solutions we present contain a large number of arbitrary functions of the light-cone time describing the amplitudes of different non-linear gravitational wave modes.