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Gravitational memory for uniformly accelerated observers

Kolekar, Sanved; Louko, Jorma

Authors

Sanved Kolekar



Abstract

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.

Citation

Kolekar, S., & Louko, J. (2017). Gravitational memory for uniformly accelerated observers. Physical Review D, 96(2), https://doi.org/10.1103/PhysRevD.96.024054

Journal Article Type Article
Acceptance Date Jul 11, 2017
Publication Date Jul 28, 2017
Deposit Date Aug 11, 2017
Publicly Available Date Aug 11, 2017
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 2
Article Number 024054
DOI https://doi.org/10.1103/PhysRevD.96.024054
Public URL http://eprints.nottingham.ac.uk/id/eprint/44847
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.024054
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © 2017 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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