Energy Contents of Gravitational Waves in Teleparallel Gravity

TL;DR

This paper investigates the energy, momentum, and fluxes of cylindrical and spherical gravitational waves within teleparallel gravity, confirming consistency with general relativity and providing explicit conserved quantities.

Contribution

It provides explicit calculations of energy-momentum and fluxes for gravitational waves in teleparallel gravity, extending previous results to specific wave geometries.

Findings

Energy and momentum are constant for both wave types.

Angular momentum is conserved and constant.

Gravitational energy-momentum fluxes and pressure are evaluated.

Abstract

The conserved quantities, that are, gravitational energy-momentum and its relevant quantities are investigated for cylindrical and spherical gravitational waves in the framework of teleparallel equivalent of General Relativity using the Hamiltonian approach. For both cylindrical and spherical gravitational waves, we obtain definite energy and constant momentum. The constant momentum shows consistency with the results available in General Relativity and teleparallel gravity. The angular momentum for cylindrical and spherical gravitational waves also turn out to be constant. Further, we evaluate their gravitational energy-momentum fluxes and gravitational pressure.