Quasi-local mass on rigid or round spheres in Kerr spacetime

TL;DR

This paper introduces a Hamiltonian-based quasi-local mass concept for topological spheres, analyzing its properties in Kerr spacetime through tests on rigid and round spheres.

Contribution

It proposes a new quasi-local mass definition using Hamiltonian methods and applies it to Kerr spacetime with specific surface choices.

Findings

Quasi-local mass defined for topological spheres in Kerr spacetime

Tests performed on rigid and round spheres show the model's applicability

New insights into the geometry of Kerr spacetime surfaces

Abstract

We introduce and analyze quasi-local mass using Hamiltonian methods. It is based on multipole decomposition for surfaces that are topological spheres. Based on the above model, tests were performed for Kerr spacetime for two arbitrary choices of surfaces: rigid spheres and round spheres.