Superrotation charge and supertranslation hair on black holes

By S. Hawking, M. Perry, Andrew Strominger. 2016

360 citations recorded by the source corpus.

A bstractIt is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass M, momentum P→$$ \overrightarrow{P} $$, angular momentum J→$$ \overrightarrow{J} $$ and boost charge K→$$ \overrightarrow{K} $$, 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9dd8deec40adf70f817454166f0414f6539ed20c

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Citations in the corpus

Carrollian physics at the black hole horizon (2019, methodology): “Moreover, one can associate non-trivial charges to these large diffeomorphisms: they generate the so-called soft hair on black holes [22–25], which were pointed out to have implications for the information paradox.”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “This story is, however, significantly modified [41, 48, 160] by the infinite number of conserved charges discussed in these lectures.”
Symmetries and charges of general relativity at null boundaries (2018, methodology): “They should facilitate further investigations of whether horizon symmetries and conservation laws in black hole spacetimes play a role in the information loss problem, as suggested by Hawking, Perry, and Strominger.”
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere (2016, neutral): “While the full Virasoro appears only when gravity is coupled, the scattering amplitudes of any QFT that can be coupled to gravity are (1)The subleading soft theorem has a one-loop exact anomaly [9–12] whose effects remain to be understood but are recently discussed in [13,14].”
Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, methodology): “ results. After imposing the antipodal matching condition on N^ A at spatial innity, one can equate the ux of super-Lorentz charge on I with the antipodally related ux on I as originally proposed in [30] (but where the expression for N^ A should be modied to (5.52)). The result of [22] is precisely ”
Lessons from the information paradox (2020, background): “In this sense, our argument is quite different from [103, 104], where the soft charges played a key role.”
Conformal basis for flat space amplitudes (2017, methodology): “The one-loop correction to the Virasoro stress tensor was recently discussed in [13, 14] from an anomaly [15–18] of this subleading soft graviton theorem.”