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.

74 pages, 2 figures; minor typos corrected and references added

References in corpus (12)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Nonlinear gravitational-wave memory from binary black hole mergers
• Orbital Dynamics of Binary Boson Star Systems
• Superradiance in String Theory
• Searching for gravitational wave memory bursts with the Parkes Pulsar Timing Array
• Color Memory
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• On Algorithmic Universality in F-theory Compactifications
• Examination of a simple example of gravitational wave memory
• Angular momentum at null infinity in Einstein-Maxwell theory
• Warp factor and the gravitational wave spectrum
• Einstein-Maxwell-dilaton theory in Newman-Penrose formalism

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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?
• Electromagnetic memory in arbitrary curved space-times
• Infrared Finite Scattering Theory in Quantum Field Theory and Quantum Gravity
• A 4D asymptotically flat rotating black hole solution including supertraslation correction