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Spacetime structure near generic horizons and soft hair

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arxiv 1908.09833 v1 pith:WSINMDR4 submitted 2019-08-26 hep-th gr-qc

Daniel Grumiller , Alfredo Pérez , M. M. Sheikh-Jabbari , Ricardo Troncoso , Céline Zwikel This is my paper · ORCID
classification hep-thgr-qc
keywords algebrahorizonnearspacetimehairhorizonssoftblack
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abstract

We explore the spacetime structure near non-extremal horizons in any spacetime dimension greater than two and discover a wealth of novel results: 1. Different boundary conditions are specified by a functional of the dynamical variables, describing inequivalent interactions at the horizon with a thermal bath. 2. The near horizon algebra of a set of boundary conditions, labeled by a parameter $s$, is given by the semi-direct sum of diffeomorphisms at the horizon with "spin-$s$ supertranslations". For $s=1$ we obtain the first explicit near horizon realization of the Bondi-Metzner-Sachs algebra. 3. For another choice, we find a non-linear extension of the Heisenberg algebra, generalizing recent results in three spacetime dimensions. This algebra allows to recover the aforementioned (linear) ones as composites. 4. These examples allow to equip not only black holes, but also cosmological horizons with soft hair. We also discuss implications of soft hair for black hole thermodynamics and entropy.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-curvature corrections and near horizon symmetries

    hep-th 2025-06 conditional novelty 6.0 of 10

    Near-horizon supertranslation charges in Lovelock gravity are nested curvature invariants weighted by a supertranslation function, and in four dimensions they reduce to the Jackiw-Teitelboim action.

  2. Anisotropic conformal Carroll field theories and their gravity duals

    hep-th 2025-05 conditional novelty 6.0 of 10

    Plane wave spacetimes in three and four dimensions realize anisotropic conformal Carroll algebras as their (asymptotic) symmetry algebras, providing candidate holographic duals for z-anisotropic Carrollian CFTs.

  3. Dynamical Entropy Is a Noether Charge

    hep-th 2026-07 reject novelty 5.0 of 10

    A Noether-charge derivation of the known HWZ dynamical entropy for generic null surfaces, whose local second-law proof is invalid as printed because Eq. (19) has the wrong sign in K.

  4. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

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