A Vaidya-type generalisation of Kerr space-time

TL;DR

This paper introduces a novel Vaidya-type generalisation of Kerr space-time, where mass and angular momentum depend on a geometrically defined variable, leading to a radiating black hole solution.

Contribution

It presents a new exact solution extending Kerr space-time with variable mass and angular momentum, incorporating matter radiation at null infinity.

Findings

Generalises Kerr space-time with variable parameters

Includes a Vaidya-type radiating solution as a special case

Provides insights into matter radiation in rotating black holes

Abstract

A new Vaidya-type generalisation of Kerr space-time is constructed by requiring the Kerr mass and angular momentum per unit mass to depend upon a variable which has a simple geometrical origin. The matter distribution introduced in this way radiates mass and angular momentum at future null infinity. The Vaidya generalisation of the Schwarzschild space-time is a special case of the newly found solution.