Gravitational radiation of generic isolated horizons

TL;DR

This paper develops a framework for analyzing gravitational radiation near generic isolated horizons, revealing the presence of the news function on non-expanding horizons and establishing conserved quantities and symmetries.

Contribution

It introduces a method to set up proper frames near generic isolated horizons and derives the associated gravitational radiation characteristics and symmetries.

Findings

The news function appears on non-expanding horizons.

Surface gravity is constant on weakly isolated horizons.

Conserved quantities and asymptotic symmetries are identified for gravitational radiation.

Abstract

From the similarity between null infinity and horizons, we show how to set up proper frames near generic isolated horizons. The asymptotic expansion and reference spin frame are used to study gravitational radiation near generic isolated horizons and it turns out that the news function appears on non-expanding horizon. We also verify that the surface gravity is constant on (weakly) isolated horizon. The corresponding conserved quantities and relevant asymptotic symmetry groups which allow gravitational radiation of generic isolated horizons are obtained from asymptotic expansion.