Subleading non linear gravitational memory effect

Mirzaiyan, Zahra

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Subleading non linear gravitational memory effect

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

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2011.06097.pdf
(Preprint), 153KB

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Citation

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

Cite as: https://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.