Quasi-local energy in presence of gravitational radiation

TL;DR

This paper investigates gravitational radiation by calculating the Wang-Yau quasi-local mass on surfaces at infinity in perturbed Schwarzschild spacetime, providing insights into energy distribution in gravitational waves.

Contribution

It introduces a novel approach to analyze gravitational radiation using quasi-local mass in perturbed Schwarzschild spacetime, extending previous methods.

Findings

Wang-Yau quasi-local mass effectively characterizes gravitational radiation.

Analysis of axial and polar perturbations reveals energy distribution patterns.

Method offers a new perspective on gravitational energy in radiative spacetimes.

Abstract

We discuss our recent work [4] in which gravitational radiation was studied by evaluating the Wang-Yau quasi-local mass of surfaces of fixed size at the infinity of both axial and polar perturbations of the Schwarzschild spacetime, \`{a} la Chandrasekhar [1].