Displacement memory and BMS symmetries
Abstract
This article reviews one of the most intriguing properties of black hole spacetimes known in the literature -- gravitational memory effect, and its connection with asymptotic symmetries, also termed as Bondi-van der Burg-Metzner-Sachs (BMS) symmetries, emerging near the horizon of black holes. Gravitational memory is a non-oscillatory part of the gravitational wave amplitude which generates a permanent displacement for freely falling test particles or test detectors. We highlight a model scenario where asymptotic symmetries appear as a soldering freedom in the context of stitching of two black hole spacetimes, and examine the impact of the interaction between test detectors and horizon shells. Further, we provide a more realistic approach of computing displacement memory for near-horizon asymptotic symmetries which is analogous to the conventional memory originally obtained at asymptotic null infinity.
Keywords
Cite
@article{arxiv.2109.13082,
title = {Displacement memory and BMS symmetries},
author = {Shailesh Kumar},
journal= {arXiv preprint arXiv:2109.13082},
year = {2021}
}
Comments
17 pages, 4 figures, Accepted for the Proceeding of the Sixteenth Marcel Grossmann Meeting (MG-16)