Mass correction and gravitational energy radiation in black hole perturbation theory

Details Mass correction and gravitational energy radiation in black hole perturbation theory Mass correction and gravitational energy radiation in black hole perturbation theory

1997-10-21

arxiv.org/abs/gr-qc/9710097v1

Class.Quant.Grav. 14 (1997) 1911

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, no figures

Scientific paper

10.1088/0264-9381/14/7/023

Using second order black hole perturbation theory, we show that the difference between the ADM mass and the final black hole mass, computed to the lowest significant order, is equal, to the same order, to the total gravitational radiation energy, obtained applying the Landau and Lifschitz (pseudotensor) equation to the first order perturbation. This result may be considered as a consistency check for the theory.

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