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High Energy Physics - Theory, hep-th
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.
