Regular isolated black holes

TL;DR

This paper introduces a new family of isolated black hole spacetimes with universal properties, including a well-defined surface gravity, facilitating the study of gravitational collapse in late-stage evolution.

Contribution

It generalizes stationary black hole solutions to a broader class with universal features and a novel relation between near-horizon and asymptotic null coordinates.

Findings

Defined a family of spacetimes with universal properties.

Established a relation between near-horizon and asymptotic null coordinates.

Provided a framework for studying late-stage gravitational collapse.

Abstract

We define a family of spacetimes representing isolated black holes exhibiting remarkable universal properties which are natural generalizations from stationary spacetimes. They admit a well defined notion of surface gravity k_H. This generalized surface gravity mediates an exponential relation between a regular null coordinate w near the horizon and an asymptotic Bondi null coordinate u defined in the vicinity of future null infinity. Our construction provides a framework for the study of gravitational collapse of an isolated system in its late stage of evolution.