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Title: Superrotation charge and supertranslation hair on black holes

Abstract

It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass M, momentum $$\vec{P}$$, angular momentum $$\vec{J}$$ and boost charge $$\vec{/k}$$ , an infinite head of supertranslation hair. Furthermore, the distinct black holes are distinguished by classical superrotation charges measured at infinity. Solutions with supertranslation hair are diffeomorphic to the Schwarzschild spacetime, but the diffeomorphisms are part of the BMS subgroup and act nontrivially on the physical phase space. It is shown that a black hole can be supertranslated by throwing in an asymmetric shock wave. We derive a leading-order Bondi-gauge expression for the linearized horizon supertranslation charge and shown to generate, via the Dirac bracket, supertranslations on the linearized phase space of gravitational excitations of the horizon. The considerations of this paper are largely classical augmented by comments on their implications for the quantum theory.

Authors:
 [1];  [1];  [2]
  1. Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics (DAMTP)
  2. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1374982
Grant/Contract Number:  
FG02-91ER40654
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black Holes; Gauge Symmetry; Nonperturbative Effects

Citation Formats

Hawking, Stephen W., Perry, Malcolm J., and Strominger, Andrew. Superrotation charge and supertranslation hair on black holes. United States: N. p., 2017. Web. doi:10.1007/JHEP05(2017)161.
Hawking, Stephen W., Perry, Malcolm J., & Strominger, Andrew. Superrotation charge and supertranslation hair on black holes. United States. doi:10.1007/JHEP05(2017)161.
Hawking, Stephen W., Perry, Malcolm J., and Strominger, Andrew. Wed . "Superrotation charge and supertranslation hair on black holes". United States. doi:10.1007/JHEP05(2017)161. https://www.osti.gov/servlets/purl/1374982.
@article{osti_1374982,
title = {Superrotation charge and supertranslation hair on black holes},
author = {Hawking, Stephen W. and Perry, Malcolm J. and Strominger, Andrew},
abstractNote = {It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass M, momentum $\vec{P}$, angular momentum $\vec{J}$ and boost charge $\vec{/k}$ , an infinite head of supertranslation hair. Furthermore, the distinct black holes are distinguished by classical superrotation charges measured at infinity. Solutions with supertranslation hair are diffeomorphic to the Schwarzschild spacetime, but the diffeomorphisms are part of the BMS subgroup and act nontrivially on the physical phase space. It is shown that a black hole can be supertranslated by throwing in an asymmetric shock wave. We derive a leading-order Bondi-gauge expression for the linearized horizon supertranslation charge and shown to generate, via the Dirac bracket, supertranslations on the linearized phase space of gravitational excitations of the horizon. The considerations of this paper are largely classical augmented by comments on their implications for the quantum theory.},
doi = {10.1007/JHEP05(2017)161},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {Wed May 31 00:00:00 EDT 2017},
month = {Wed May 31 00:00:00 EDT 2017}
}

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