Quasilocal conformal Killing horizons: Classical phase space and the first law
arXiv:1412.5115 · doi:10.1103/PhysRevD.91.064054
Abstract
In realistic situations, black hole spacetimes do not admit a global timelike Killing vector field. However, it is possible to describe the horizon in a quasilocal setting by introducing the notion of a quasilocal boundary with certain properties which mimic the properties of a black hole horizon. Isolated horzons and Killing horizons are examples of such kind. In this paper, we construct a boundary of spacetime which is null and admits a conformal Killing vector field. Furthermore we construct the space of solutions (in general theory of relativity) which admits such quasilocal conformal Killing boundaries. We also establish a form of first law for these quasilocal horizons.
arXiv commentTypos corrected, results unchanged, accepted for publication in Phys. Rev. D
References in corpus (34)
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Quantum Geometry and Black Hole Entropy
- Isolated and dynamical horizons and their applications
- General Laws of Black-Hole Dynamics
- On Black Hole Entropy
- Black Hole Entropy from Loop Quantum Gravity
- Dynamical Horizons and their Properties
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Entropy from Conformal Field Theory at Killing Horizons
- Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
- Generic Isolated Horizons and their Applications
- Mechanics of Rotating Isolated Horizons
- Black Holes and Solitons in String Theory
- Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
- Geometry of Generic Isolated Horizons
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Isolated Horizons: A Generalization of Black Hole Mechanics
- Counting surface states in the loop quantum gravity
- Conformal Invariance of Black Hole Temperature
- Black hole entropy and isolated horizons thermodynamics
- The first law for slowly evolving horizons
- Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
- Extremality conditions for isolated and dynamical horizons
- Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
- Statistics, holography, and black hole entropy in loop quantum gravity
- Counting black hole microscopic states in loop quantum gravity
- Hamiltonian and Noether charges in first order gravity
- Fine-grained state counting for black holes in loop quantum gravity
- Laws of Black Hole Mechanics from Holst Action
- Conformally rescaled spacetimes and Hawking radiation
- Entropy from near-horizon geometries of Killing horizons
- Generic weak isolated horizons
- Note on Kerr/CFT correspondence in a first order formalism
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- Spherical trapped surfaces in n-dimensional general relativity
- Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations
- Homothetic Killing horizons in generic Vaidya spacetimes