A gravitational memory effect in "boosted" black hole perturbation theory

Details A gravitational memory effect in "boosted" black hole perturbation theory A gravitational memory effect in "boosted" black hole perturbation theory

2003-06-18

arxiv.org/abs/gr-qc/0306085v1

Phys.Rev. D68 (2003) 104018

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTexIV, 15 pages, 2 EPS figures

Scientific paper

10.1103/PhysRevD.68.104018

Black hole perturbation theory, or more generally, perturbation theory on a Schwarzschild bockground, has been applied in several contexts, but usually under the simplifying assumption that the ADM momentum vanishes, namely, that the evolution is carried out and observed in the ``center of momentum frame''. In this paper we consider some consequences of the inclusion of a non vanishing ADM momentum in the initial data. We first provide a justification for the validity of the transformation of the initial data to the ``center of momentum frame'', and then analyze the effect of this transformation on the gravitational wave amplitude. The most significant result is the possibility of a type of gravitational memory effect that appears to have no simple relation with the well known Christodoulou effect.

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