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Spacetime Structure near Generic Horizons and Soft Hair.

Daniel Grumiller1,2,3, Alfredo Pérez2, M M Sheikh-Jabbari3,4

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Researchers discovered novel spacetime structures near horizons, introducing "soft hair" for black holes and cosmological horizons. This work reveals new near-horizon algebras and their implications for thermodynamics and entropy.

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Area of Science:

  • Theoretical physics
  • General relativity
  • Quantum gravity

Background:

  • Black holes and cosmological horizons possess complex spacetime structures.
  • Understanding horizon physics is crucial for unifying gravity and quantum mechanics.
  • Previous studies hinted at emergent symmetries and soft quantum numbers at horizons.

Purpose of the Study:

  • To explore the spacetime structure near nonextremal horizons in dimensions greater than two.
  • To identify and characterize novel near-horizon algebras and their properties.
  • To investigate the concept of
  • soft hair
  • and its implications for black hole thermodynamics and entropy.

Main Methods:

  • Analysis of boundary conditions defining interactions with a thermal bath.
  • Derivation of near-horizon algebras using dynamical variables.
  • Construction of specific algebraic structures, including semidirect sums and nonlinear extensions.
  • Application of these findings to black hole and cosmological horizons.

Main Results:

  • Novel boundary conditions specify inequivalent horizon interactions.
  • A new near-horizon algebra is found, a semidirect sum of diffeomorphisms and "spin-s supertranslations".
  • For s=1, the first explicit near-horizon realization of the Bondi-Metzner-Sachs algebra is obtained.
  • A nonlinear extension of the Heisenberg algebra is derived, generalizing previous results.
  • Black holes and cosmological horizons can be equipped with "soft hair".

Conclusions:

  • The study reveals a rich structure of spacetime near nonextremal horizons.
  • "Soft hair" provides a new framework for understanding black hole thermodynamics and entropy.
  • The discovered algebras offer insights into emergent symmetries and quantum properties of horizons.