Black hole memory effect - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2018

Black hole memory effect

Laura Donnay
  • Fonction : Auteur
Gaston Giribet
  • Fonction : Auteur
Hernán A. González
  • Fonction : Auteur

Résumé

We compute the memory effect produced at the black hole horizon by a transient gravitational shock wave. As shown by Hawking, Perry, and Strominger (HPS) such a gravitational wave produces a deformation of the black hole geometry which from future null infinity is seen as a Bondi-Metzner-Sachs supertranslation. This results in a diffeomorphic but physically distinct geometry which differs from the original black hole by their charges at infinity. Here we give the complementary description of this physical process in the near-horizon region as seen by an observer hovering just outside the event horizon. From this perspective, in addition to a supertranslation the shock wave also induces a horizon superrotation. We compute the associated superrotation charge and show that its form agrees with the one obtained by HPS at infinity. In addition, there is a supertranslation contribution to the horizon charge, which measures the entropy change in the process. We then turn to electrically and magnetically charged black holes and generalize the near-horizon asymptotic symmetry analysis to Einstein-Maxwell theory. This reveals an additional infinite-dimensional current algebra that acts nontrivially on the horizon superrotations. Finally, we generalize the black hole memory effect to Reissner-Nordström black holes.

Dates et versions

hal-01891234 , version 1 (09-10-2018)

Identifiants

Citer

Laura Donnay, Gaston Giribet, Hernán A. González, Andrea Puhm. Black hole memory effect. Physical Review D, 2018, 98 (12), pp.124016. ⟨10.1103/PhysRevD.98.124016⟩. ⟨hal-01891234⟩
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