Memories of Gravitational Shockwaves

Fuente: arXiv
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Main Author: Fursaev, Dmitri V.
Format: Preprint
Published: 2025
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author Fursaev, Dmitri V.
author_facet Fursaev, Dmitri V.
contents Gravitational shockwaves produce perturbations of field systems. We study classical scalar and electromagnetic fields and gravitational memory effects left after the action on the fields of plane-fronted gravitational shockwaves. The gravitational memory plays a key role for the choice of Cauchy data which determine the perturbations. We demonstrate that field systems`remember' only a spatial `profile' of the shock, but not the form of the signal. Moreover the dependence on the spatial profile can be expressed in a geometric way as a transformation of fields under coordinate supertranslations defined near the shockwave front. We also discuss applications of our results to astrophysics.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22238
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Memories of Gravitational Shockwaves
Fursaev, Dmitri V.
General Relativity and Quantum Cosmology
Gravitational shockwaves produce perturbations of field systems. We study classical scalar and electromagnetic fields and gravitational memory effects left after the action on the fields of plane-fronted gravitational shockwaves. The gravitational memory plays a key role for the choice of Cauchy data which determine the perturbations. We demonstrate that field systems`remember' only a spatial `profile' of the shock, but not the form of the signal. Moreover the dependence on the spatial profile can be expressed in a geometric way as a transformation of fields under coordinate supertranslations defined near the shockwave front. We also discuss applications of our results to astrophysics.
title Memories of Gravitational Shockwaves
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.22238