Intrinsic angular momentum in general relativity

TL;DR

This paper proposes a new definition of intrinsic angular momentum in general relativity that accurately captures the physical notion in radiative spacetimes, crucial for understanding gravitational radiation from sources like black hole mergers.

Contribution

It introduces a novel definition of intrinsic angular momentum suitable for radiative spacetimes, addressing limitations of previous definitions in capturing physical angular momentum.

Findings

Provides a consistent way to define intrinsic angular momentum in radiative spacetimes

Facilitates calculations of angular momentum radiation in black hole mergers

Enhances understanding of gravitational radiation's angular momentum transfer

Abstract

There are several definitions of the notion of angular momentum in general relativity. However non of them can be said to capture the physical notion of intrinsic angular momentum of the sources in the presence of gravitational radiation. We present a definition which is appropriate for the description of intrinsic angular momentum in radiative spacetimes. This notion is required in calculations involving radiation of angular momentum, as for example is expected in binary coalescence of black holes.