Gravitational memory for uniformly accelerated observers

Kolekar, Sanved; Louko, Jorma

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), Article 024054. 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: https://nottingham-repository.worktribe.com/output/874823
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.024054
• Additional Information: © 2017 American Physical Society