Gravitational Memory and Compact Extra Dimensions

Abstract

We develop a general formalism for treating radiative degrees of freedom near ${\mathcal{I}}^{+}$ in theories with an arbitrary Ricci-flat internal space. These radiative modes are encoded in a generalized news tensor which decomposes into gravitational, electromagnetic, and scalar components. We find a preferred gauge which simplifies the asymptotic analysis of the full nonlinear Einstein equations and makes the asymptotic symmetry group transparent. This asymptotic symmetry group extends the BMS group to include angle-dependent isometries of the internal space. We apply this formalism to study memory effects, which are expected to be observed in future experiments, that arise from bursts of higher-dimensional gravitational radiation. We outline how measurements made by gravitational wave observatories might probe properties of the compact extra dimensions.

arXiv comment74 pages, 2 figures; minor typos corrected and references added

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• Pulsar Timing Residual induced by Wideband Ultralight Dark Matter with Spin 0, 1, 2
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
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• Infrared Finite Scattering Theory in Quantum Field Theory and Quantum Gravity
• A 4D asymptotically flat rotating black hole solution including supertraslation correction