Subleading non linear gravitational memory effect
High Energy Physics - Theory
2020-11-13 v1
Abstract
We apply the new method based on null geodesics for detecting gravitational memory and find the bulk memory in Newman-Unti gauge around the boundary of the conformally compactified space time. We show how we use the newly found conserved charges in the subleading orders of large- expansion of the BMS charges to define the gravitational memory at each order in the non-linearised gravitational theory. We also find the gravitational shift in the direction. It is shown that the longitudinal displacement at order is the relative radius change between two detectors derived by Strominger and Zhiboedov.
Cite
@article{arxiv.2011.06097,
title = {Subleading non linear gravitational memory effect},
author = {Zahra Mirzaiyan},
journal= {arXiv preprint arXiv:2011.06097},
year = {2020}
}