A gravitational memory effect in "boosted" black hole perturbation theory
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0306085,
title = {A gravitational memory effect in "boosted" black hole perturbation theory},
author = {Reinaldo J. Gleiser and Alfredo E. Dominguez},
journal= {arXiv preprint arXiv:gr-qc/0306085},
year = {2009}
}
Comments
REVTexIV, 15 pages, 2 EPS figures