The gravitational energy-momentum flux
J. W. Maluf, F. F. Faria, K. H. Castello-Branco

TL;DR
This paper derives a continuity equation for gravitational energy-momentum within teleparallel gravity, defining its flux and analyzing it for specific wave solutions, revealing parallels with electromagnetic waves.
Contribution
It introduces a new general definition for gravitational energy-momentum flux in teleparallel gravity and applies it to specific wave solutions.
Findings
Energy flux of plane gravitational waves matches known values
Gravitational waves exhibit features similar to electromagnetic waves
Provides a new framework for gravitational energy-momentum analysis
Abstract
We present a continuity equation for the gravitational energy-momentum, which is obtained in the framework of the teleparallel equivalent of general relativity. From this equation it follows a general definition for the gravitational energy-momentum flux. This definition is investigated in the context of plane waves and of cylindrical Einstein-Rosen waves. We obtain the well known value for the energy flux of plane gravitational waves, and conclude that the latter exhibit features similar to plane electromagnetic waves.
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