Superrotation charge and supertranslation hair on black holes View Full Text


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Article Info

DATE

2017-05-31

AUTHORS

Stephen W. Hawking, Malcolm J. Perry, Andrew Strominger

ABSTRACT

It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass M, momentum P→\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overrightarrow{P} $$\end{document}, angular momentum J→\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overrightarrow{J} $$\end{document} and boost charge K→\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overrightarrow{K} $$\end{document}, an infinite head of supertranslation hair. The distinct black holes are distinguished by classical superrotation charges measured at infinity. Solutions with super-translation 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. A leading-order Bondi-gauge expression is derived 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. More... »

PAGES

161

References to SciGraph publications

  • 2015-02-11. On the Validity of the Definition of Angular Momentum in General Relativity in ANNALES HENRI POINCARÉ
  • 1986-03. On purely radiative space-times in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1981-12. On the existence of solutions to Einstein's equation with non-zero Bondi news in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2016-02-04. Noether’s second theorem and Ward identities for gauge symmetries in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-05-05. Black Hole Unitarity and Antipodal Entanglement in FOUNDATIONS OF PHYSICS
  • 2016-01-20. Wormholes, emergent gauge fields, and the weak gravity conjecture in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-06-16. A boundary term for the gravitational action with null boundaries in GENERAL RELATIVITY AND GRAVITATION
  • 2016-01-15. Gravitational memory, BMS supertranslations and soft theorems in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-01-25. 4D scattering amplitudes and asymptotic symmetries from 2D CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-09-30. Characteristic Initial Data and Smoothness of Scri. I. Framework and Results in ANNALES HENRI POINCARÉ
  • 2014-07-30. On BMS invariance of gravitational scattering in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-10-21. Higher spin black holes with soft hair in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03-08. Variational principle for gravity with null and non-null boundaries: a unified boundary counter-term in EUROPEAN PHYSICAL JOURNAL C
  • 2016-07-28. Vacua of the gravitational field in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-07-22. Asymptotic symmetries of QED and Weinberg’s soft photon theorem in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-05-18. Aspects of the BMS/CFT correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-12-14. New gravitational memories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12-15. Asymptotic symmetries of gravity and soft theorems for massive particles in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-11-04. Subleading soft photons and large gauge transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-09-28. Horizon supertranslation and degenerate black hole solutions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10-18. Spontaneous Lorentz violation in gauge theories in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2014-12-16. Loop corrections to soft theorems in gauge theories and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-29. Stationary Black Holes: Uniqueness and Beyond in LIVING REVIEWS IN RELATIVITY
  • 2016-06-16. Gravitational black hole hair from event horizon supertranslations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-04-10. Soft black hole absorption rates as conservation laws in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-09-16. Extended symmetries at the black hole horizon in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03-04. BMS invariance and the membrane paradigm in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-08-11. Semiclassical Virasoro symmetry of the quantum gravity S-matrix in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-07-12. On the membrane paradigm and spontaneous breaking of horizon BMS symmetries in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03-07. Horizon shells and BMS-like soldering transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11-23. Republication of: Conformal treatment of infinity in GENERAL RELATIVITY AND GRAVITATION
  • 2014-07-30. Asymptotic symmetries of Yang-Mills theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04-15. New symmetries for the gravitational S-matrix in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03-24. Finite BMS transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-10-21. New symmetries of massless QED in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-05-29. BMS supertranslations and Weinberg’s soft graviton theorem in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-09-08. On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS3 geometries in EUROPEAN PHYSICAL JOURNAL C
  • 2016-11-22. The black hole S-Matrix from quantum mechanics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-06-26. Quasi-local charges and asymptotic symmetry generators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-12-28. BMS charge algebra in JOURNAL OF HIGH ENERGY PHYSICS
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