@article{221dc1fa3b3348a083cd6f54d340afd1,

title = "Black hole memory effect",

abstract = "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-Nordstr{\"o}m black holes.",

author = "Laura Donnay and Gaston Giribet and Gonz{\'a}lez, {Hern{\'a}n A.} and Andrea Puhm",

note = "Funding Information: L. D. and A. P. acknowledge support from the Black Hole Initiative at Harvard University, which is funded by a grant from the John Templeton Foundation. L. D. was also supported by a Fellowship of the Belgian American Educational Foundation and by the CNRS. L. D. and G. G. thank the Institute for Theoretical Physics of TU Wien and the Ecole Polytechnique for hospitality during their visits, where this work was partially done. The work of G. G. has been supported by NSF Grant No. PHY-1214302. The work of H. G. is supported by the Austrian Science Fund (FWF), Projects No. P 28751-N2 and No. P 27182-N27. Funding Information: L.D. and A.P. acknowledge support from the Black Hole Initiative at Harvard University, which is funded by a grant from the John Templeton Foundation. L.D. was also supported by a Fellowship of the Belgian American Educational Foundation and by the CNRS. L.D. and G.G. thank the Institute for Theoretical Physics of TU Wien and the Ecole Polytechnique for hospitality during their visits, where this work was partially done. The work of G.G. has been supported by NSF Grant No. PHY-1214302. The work of H.G. is supported by the Austrian Science Fund (FWF), Projects No. P 28751-N2 and No. P 27182-N27. Publisher Copyright: {\textcopyright} 2018 authors. Published by the American Physical Society.",

year = "2018",

month = dec,

day = "15",

doi = "10.1103/PhysRevD.98.124016",

language = "English",

volume = "98",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "12",

}