Asymptotic symmetries on Killing horizons
arXiv:gr-qc/0107096 · doi:10.1103/PhysRevD.64.124012
Abstract
We investigate asymptotic symmetries regularly defined on spherically symmetric Killing horizons in the Einstein theory with or without the cosmological constant. Those asymptotic symmetries are described by asymptotic Killing vectors, along which the Lie derivatives of perturbed metrics vanish on a Killing horizon. We derive the general form of asymptotic Killing vectors and find that the group of the asymptotic symmetries consists of rigid O(3) rotations of a horizon two-sphere and supertranslations along the null direction on the horizon, which depend arbitrarily on the null coordinate as well as the angular coordinates. By introducing the notion of asymptotic Killing horizons, we also show that local properties of Killing horizons are preserved under not only diffeomorphisms but also non-trivial transformations generated by the asymptotic symmetry group. Although the asymptotic symmetry group contains the subgroup, which results from the supertranslations dependent only on the null coordinate, it is shown that the Poisson bracket algebra of the conserved charges conjugate to asymptotic Killing vectors does not acquire non-trivial central charges. Finally, by considering extended symmetries, we discuss that unnatural reduction of the symmetry group is necessary in order to obtain the Virasoro algebra with non-trivial central charges, which will not be justified when we respect the spherical symmetry of Killing horizons.
28 pages
References in corpus (2)
Cited by in corpus (81)
- Soft Hair on Black Holes
- Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
- Superrotation Charge and Supertranslation Hair on Black Holes
- Surface charge algebra in gauge theories and thermodynamic integrability
- Supertranslations and Superrotations at the Black Hole Horizon
- Lanczos-Lovelock models of gravity
- Extended Symmetries at the Black Hole Horizon
- Semi-classical central charge in topologically massive gravity
- Symmetries and charges of general relativity at null boundaries
- Near-Horizon Conformal Symmetry and Black Hole Entropy
- The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
- Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
- Black hole entropy and thermodynamics from symmetries
- Black Hole Entropy from BMS Symmetry at the Horizon
- Near-Horizon Conformal Symmetry and Black Hole Entropy in Any Dimension
- Noether Current, Horizon Virasoro Algebra and Entropy
- Effective Conformal Descriptions of Black Hole Entropy
- Horizon Shells and BMS-like Soldering Transformations
- Symmetries, Horizons, and Black Hole Entropy
- On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS Symmetries
- Near-Horizon BMS Symmetry, Dimensional Reduction, and Black Hole Entropy
- Soft Hair of Dynamical Black Hole and Hawking Radiation
- Memory in de Sitter space and BMS-like supertranslations
- Gravity Dual of Connes Cocycle Flow
- Black hole entropy from classical Liouville theory
- Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
- Horizon supertranslation and degenerate black hole solutions
- Cosmological horizons, Noether charges and entropy
- Black Hole Thermodynamics from Euclidean Horizon Constraints
- Symmetries at the black hole horizon
- Near horizon symmetries, emergence of Goldstone modes and thermality
- Conserved quantities and Virasoro algebra in New massive gravity
- Horizons, Constraints, and Black Hole Entropy
- Perturbative stability of the QCD analysis of DIS data
- All 4-dimensional static, spherically symmetric, 2-charge abelian Kaluza-Klein black holes and their CFT duals
- Holographic Charge Excitations on Horizontal Boundary
- Virasoro hair and entropy for axisymmetric Killing horizons
- Entropy from near-horizon geometries of Killing horizons
- Conserved charges, surface degrees of freedom, and black hole entropy
- Gravitational Memory Charges of Supertranslation and Superrotation on Rindler Horizons
- Spontaneously Broken Asymptotic Symmetries and an Effective Action for Horizon Dynamics
- Central charges and boundary fields for two dimensional dilatonic black holes
- Black Hole Entropy and the Problem of Universality
- Dynamics of Diffeomorphism Degrees of Freedom at a Horizon
- Schwarzschild/CFT from soft black hole hair?
- Soldering freedom and BMS-like transformations
- Near-horizon symmetries of the Schwarzschild black hole with supertranslation field
- Conformal entropy from horizon states: Solodukhin's method for spherical, toroidal, and hyperbolic black holes in D-dimensional anti-de Sitter spacetimes
- Gravitational anomalies and entropy
- Poisson Algebra of Diffeomorphism Generators in a Spacetime Containing a Bifurcation
- Supertranslations at Timelike Infinity
- Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
- On the General Kerr/CFT Correspondence in Arbitrary Dimensions
- Hawking Radiation and Entropy from Horizon Degrees of Freedom
- Can One Understand Black Hole Entropy without Knowing Much about Quantum Gravity?
- Horizon Hair from Inversion Symmetry
- Soft thermodynamics of gravitational shock wave
- Universal properties from local geometric structure of Killing horizon
- Charged black strings in a five-dimensional Kasner universe
- Two Dimensional Conformal Symmetry and the Microscopic Interpretation of Black Hole Entropy
- Classical Liouville Theory and the Microscopic Interpretation of Black Hole Entropy
- Colored black holes and Kac-Moody algebra
- On Diffeomorphism Invariance and Black Hole Entropy
- Supertranslations: redundancies of horizon data, and global symmetries at null infinity
- Super Virasoro Algebra From Supergravity
- Holography and gravity with a dynamical aether
- On Super-Translation transition between Quasi-local Black holes
- On black hole supertranslations and hydrodynamic enstrophy
- Asymptotic symmetries on Kerr--Newman horizon without anomaly of diffeomorphism invariance
- Can the Near-Horizon Black Hole Memory be detected through Binary Inspirals?
- Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation
- Effective field theory description of horizon-fluid determines the scrambling time
- Using thermodynamics to learn gravitational wave physics
- Null infinity as a Killing horizon
- Horizon symmetries of black holes with supertranslation field
- Microscopic Model building for Black Hole Membranes from Constraints of Symmetry
- Inducing supertranslations: The membrane picture
- Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
- Surface charge of horizon symmetries of a black hole with supertranslation field
- Microscopic interpretation of black hole entropy
- de Sitter Entanglement and Conformal Description of the Cosmological Horizon