Gravitational memory for uniformly accelerated observers
arXiv:1703.10619 · doi:10.1103/PhysRevD.96.024054
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 BMS-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 generalisation 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.
18 pages, v2: references added, v3: presentational clarifications
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- Harvesting correlations in Schwarzschild and collapsing shell spacetimes
- Soft Hair of Dynamical Black Hole and Hawking Radiation
- Quantum imprints of gravitational shockwaves
- Invariance of Unruh and Hawking radiation under matter-induced supertranslations
- Black hole shadow and acceleration bounds for spherically symmetric spacetimes
- Displacement memory effect near the horizon of black holes
- Bound on Rindler trajectories in Black Hole spacetime
- Rindler horizons in the Schwarzschild spacetime
- Quantum memory for Rindler supertranslations
- Directional dependence of the Unruh effect for spatially extended detectors
- Non-Gaussian Saha's ionization in Rindler spacetime and the equivalence principle
- Gravitational wave memory in wormhole spacetimes