A Classical Proof of the Classical Soft Graviton Theorem in D>4

Abstract

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing objects, including hard radiation. This has been proved to subleading order in the expansion in powers of frequency by taking the classical limit of the quantum soft graviton theorem. In this paper we give a direct proof of this result by analyzing the classical equations of motion of a generic theory of gravity coupled to interacting matter in space-time dimensions larger than four.

LaTeX; 32 pages

References in corpus (13)

• Asymptotic symmetries and subleading soft graviton theorem
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Evidence for a New Soft Graviton Theorem
• The gravitational-wave memory effect
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Infrared features of gravitational scattering and radiation in the eikonal approach
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Soft Graviton Theorem in Arbitrary Dimensions
• Subleading Soft Theorem for Multiple Soft Gravitons
• Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
• Double Soft Theorem for Perturbative Gravity

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• Classical Solutions and their Double Copy in Split Signature
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• Light-ray operators, detectors and gravitational event shapes
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