Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle

Abstract

We study the mechanics of D-dimensional isolated horizons (IHs) for Einstein gravity in the presence of arbitrary p-form matter fields. This generalizes the analysis of Copsey and Horowitz to non-stationary spacetimes and therefore the local first law to include non-monopolar (dipole) charges. The only requirement for the local first law to hold is that the action has to be differentiable. The resulting conserved charges are all intrinsic to the horizon and are independent of the topology of the horizon cross sections. We explicitly calculate the local charges for five-dimensional black holes and black rings that are relevant within the context of superstring theory. We conclude with some comments on the black-hole/string correspondence principle and argue that IHs (or some other quasilocal variant) should play a fundamental role in superstring theory.

11 pages; v2: figure added; references added; v3: introduction shortened; to appear in Physical Review D; v4: typos corrected

References in corpus (33)

• General Laws of Black-Hole Dynamics
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• A Correspondence Principle for Black Holes and Strings
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Dynamical Horizons and their Properties
• A supersymmetric black ring
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Generic Isolated Horizons and their Applications
• Mechanics of Rotating Isolated Horizons
• Supersymmetric black rings and three-charge supertubes
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Mechanics of Isolated Horizons
• A generalization of Hawking's black hole topology theorem to higher dimensions
• Isolated Horizons: A Generalization of Black Hole Mechanics
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• On the topology and area of higher dimensional black holes
• Quasilocal Formalism and Black Ring Thermodynamics
• Non-supersymmetric black rings as thermally excited supertubes
• The Role of Dipole Charges in Black Hole Thermodynamics
• Space-Times Admitting Isolated Horizons
• Asymptotics and Hamiltonians in a First order formalism
• Mechanics of multidimensional isolated horizons
• Note on the First Law with p-form potentials
• On the Topology of Black Hole Event Horizons in Higher Dimensions
• Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times
• Action and Hamiltonians in higher dimensional general relativity: First order framework
• Black Rings and the Physical Process Version of the First Law of Thermodynamics
• First Law of Black Rings Thermodynamics in Higher Dimensional Dilaton Gravity with p + 1 Strength Forms
• Physical Process Version of the First Law of Thermodynamics for Black Holes in Higher Dimensional Gravity
• First-order action and Euclidean quantum gravity
• Supersymmetric isolated horizons

Cited by in corpus (6)

• Spacetime near isolated and dynamical trapping horizons
• Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
• Neighbourhoods of Isolated Horizons and their stationarity
• Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction
• Entropy of Black Holes in N=2 Supergravity
• A note on electrical and thermodynamic properties of Isolated Horizon