On the energy transported by exact plane gravitational-wave solutions
Yuri N. Obukhov, J.G. Pereira, Guillermo F. Rubilar
TL;DR
This paper investigates the energy and momentum transport properties of exact plane gravitational-wave solutions in Einstein's theory, revealing they do not carry energy or momentum, contrasting with linearized solutions.
Contribution
It demonstrates that exact plane gravitational waves do not transport energy or momentum, providing a comparison with linearized wave solutions.
Findings
Exact plane gravitational waves do not carry energy or momentum.
Linearized gravitational waves do transport energy and momentum.
The study uses the teleparallel formulation of Einstein's theory.
Abstract
The energy and momentum transported by exact plane gravitational-wave solutions of Einstein equations are computed using the teleparallel equivalent formulation of Einstein's theory. It is shown that these waves transport neither energy nor momentum. A comparison with the usual linear plane gravitational-waves solution of the linearized Einstein equation is presented.
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