From Shockwaves to the Gravitational Memory Effect
arXiv:2305.14411 · doi:10.1007/JHEP01(2024)006
Abstract
We study the relationship between shockwave geometries and the gravitational memory effect in four-dimensional asymptotically flat spacetime. In particular, we show the 't Hooft commutation relations of shockwave operators are equivalent to the commutation relation between soft and Goldstone modes parametrizing a sector of the gravitational phase space. We demonstrate this equivalence via a diffeomorphism that takes a shockwave metric to a metric whose transverse traceless component is the gravitational memory. The shockwave momentum in 't Hooft's analysis is related to the soft graviton mode, which is responsible for the memory effect, while the shift in the shockwave position is related to the Goldstone mode. This equivalence opens new directions to utilize the gravitational memory effect to explore the observational implications of shockwave geometries in flat space.
32 pages, 1 figure; v2: Minor clarification comments added and typos corrected, error in Appendix C fixed, and Section 3.2 added, version to appear in JHEP
References in corpus (7)
- Surface charge algebra in gauge theories and thermodynamic integrability
- Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
- Infrared Divergences in QED, Revisited
- Gravitational effects in ultrahigh-energy string scattering
- Infinite towers of supertranslation and superrotation memories
- Modular Fluctuations from Shockwave Geometries
- Invariance of Unruh and Hawking radiation under matter-induced supertranslations
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