Accelerated observers and gravitational radiation

Details Accelerated observers and gravitational radiation Accelerated observers and gravitational radiation

2004-12-12

arxiv.org/abs/gr-qc/0412055v2

Grav.Cosmol. 11 (2005) 284-288

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Latex file, no figures. Version to appear in Gravitation and Cosmology

Scientific paper

We evaluate the energy-momentum of the gravitational field of a Schwarzschild black hole of mass M in the frame of a moving observer that asymptotically undergoes a Lorentz boost. The analysis is carried out in the framework of the teleparallel equivalent of general relativity (TEGR). We find that the total expression for the energy-momentum of the gravitational field is similar to the usual relativistic expression for the energy-momentum four-vector of a particle of inertial mass M under a Lorentz boost in flat space-time. Moreover we conclude that if the observer accelerates with respect to the black hole he will experience gravitational energy radiation, in similarity to the expected radiation of an accelerated charged particle in electrodynamics. We show that the increase of the mass of the black hole by the usual factor gamma as observed in the moving frame, which is a typical feature of special relativity if the black hole is considered asymptotically as a body of mass M, is due to gravitational radiation.

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