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Subleading non linear gravitational memory effect

MPS-Authors
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Mirzaiyan,  Zahra
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2011.06097.pdf
(Preprint), 153KB

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Citation

Mirzaiyan, Z. (in preparation). Subleading non linear gravitational memory effect.


Cite as: http://hdl.handle.net/21.11116/0000-0007-80E1-9
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-$r$ 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 $r$ direction. It is shown that the longitudinal displacement at order $1/r$ is the relative radius change between two detectors derived by Strominger and Zhiboedov.