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Superrotation charge and supertranslation hair on black holes

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics (DAMTP); University of Cambridge
  2. Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics (DAMTP)
  3. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
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.
Research Organization:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Organization:
George and Cynthia Mitchell Foundation; Templeton Foundation; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
Trinity College Cambridge
Grant/Contract Number:
FG02-91ER40654; SC0007870
OSTI ID:
1374982
Alternate ID(s):
OSTI ID: 22694404
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2017; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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