Gravitational memory for uniformly accelerated observers

Recently, Hawking, Perry and Strominger described a physical process that implants supertranslational hair on a Schwarzschild black hole by an infalling matter shock wave without spherical symmetry. Using the Bondi-Metzner-Sachs-type symmetries of the Rindler horizon, we present an analogous process...

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Main Authors: Kolekar, Sanved, Louko, Jorma
Format: Article
Published: American Physical Society 2017
Online Access:https://eprints.nottingham.ac.uk/44847/
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author Kolekar, Sanved
Louko, Jorma
author_facet Kolekar, Sanved
Louko, Jorma
author_sort Kolekar, Sanved
building Nottingham Research Data Repository
collection Online Access
description Recently, Hawking, Perry and Strominger described a physical process that implants supertranslational hair on a Schwarzschild black hole by an infalling matter shock wave without spherical symmetry. Using the Bondi-Metzner-Sachs-type symmetries of the Rindler horizon, we present an analogous process that implants supertranslational hair on a Rindler horizon by a matter shock wave without planar symmetry, and we investigate the corresponding memory effect on the Rindler family of uniformly linearly accelerated observers. We assume each observer to remain linearly uniformly accelerated through the wave, in the sense of the curved spacetime generalization of the Letaw-Frenet equations. Starting with a family of observers who follow the orbits of a single boost Killing vector before the wave, we find that after the wave has passed, each observer still follows the orbit of a boost Killing vector but this boost differs from trajectory to trajectory, and the trajectory dependence carries a memory of the planar inhomogeneity of the wave. We anticipate this classical memory phenomenon to have a counterpart in Rindler space quantum field theory.
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spelling nottingham-448472020-05-04T18:57:32Z https://eprints.nottingham.ac.uk/44847/ Gravitational memory for uniformly accelerated observers Kolekar, Sanved Louko, Jorma Recently, Hawking, Perry and Strominger described a physical process that implants supertranslational hair on a Schwarzschild black hole by an infalling matter shock wave without spherical symmetry. Using the Bondi-Metzner-Sachs-type symmetries of the Rindler horizon, we present an analogous process that implants supertranslational hair on a Rindler horizon by a matter shock wave without planar symmetry, and we investigate the corresponding memory effect on the Rindler family of uniformly linearly accelerated observers. We assume each observer to remain linearly uniformly accelerated through the wave, in the sense of the curved spacetime generalization of the Letaw-Frenet equations. Starting with a family of observers who follow the orbits of a single boost Killing vector before the wave, we find that after the wave has passed, each observer still follows the orbit of a boost Killing vector but this boost differs from trajectory to trajectory, and the trajectory dependence carries a memory of the planar inhomogeneity of the wave. We anticipate this classical memory phenomenon to have a counterpart in Rindler space quantum field theory. American Physical Society 2017-07-28 Article PeerReviewed Kolekar, Sanved and Louko, Jorma (2017) Gravitational memory for uniformly accelerated observers. Physical Review D, 96 (2). 024054/1-024054/9. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.024054 10.1103/PhysRevD.96.024054 10.1103/PhysRevD.96.024054 10.1103/PhysRevD.96.024054
spellingShingle Kolekar, Sanved
Louko, Jorma
Gravitational memory for uniformly accelerated observers
title Gravitational memory for uniformly accelerated observers
title_full Gravitational memory for uniformly accelerated observers
title_fullStr Gravitational memory for uniformly accelerated observers
title_full_unstemmed Gravitational memory for uniformly accelerated observers
title_short Gravitational memory for uniformly accelerated observers
title_sort gravitational memory for uniformly accelerated observers
url https://eprints.nottingham.ac.uk/44847/
https://eprints.nottingham.ac.uk/44847/
https://eprints.nottingham.ac.uk/44847/