A New Boundary Counterterm for Asymptotically AdS Spacetimes
arXiv:hep-th/0512297
Abstract
We present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially broken if the dimension of the spacetime is odd. We show that this symmetry is restored by a new boundary counterterm, needed to cancel a divergence that appears in dimensional regularization. The result is a finite, diffeomorphism invariant action appropriate for gravitational physics. As an example we calculate the action for the Kerr- black hole. Unlike the standard boundary counterterm results, our action yields conserved charges that are consistent with the first law of black hole thermodynamics.
42+1 Pages
References in corpus (44)
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- A Stress Tensor for Anti-de Sitter Gravity
- The Holographic Weyl anomaly
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Lecture Notes on Holographic Renormalization
- Holographic Renormalization
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- On the Holographic Renormalization Group
- Rotation and the AdS/CFT correspondence
- The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
- The General Kerr-de Sitter Metrics in All Dimensions
- Asymptotically Anti-de Sitter Space-times: Conserved Quantities
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- How to go with an RG Flow
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- The Gravitational Action in Asymptotically AdS and Flat Spacetimes
- Quantum effective action from the AdS/CFT correspondence
- Weyl Cohomology and the Effective Action for Conformal Anomalies
- Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
- Five-Dimensional Gauged Supergravity Black Holes with Independent Rotation Parameters
- Holographic Renormalization of Asymptotically Flat Spacetimes
- The Holographic Renormalization Group
- Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
- AdS/CFT correspondence and Geometry
- Charged Rotating Black Holes in Five Dimensional U(1)^3 Gauged N=2 Supergravity
- Counter-term charges generate bulk symmetries
- Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
- Holographic Stress Tensors for Kerr-AdS Black Holes
- Solving the Hamilton-Jacobi Equation for General Relativity
- Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes
- Higher Dimensional Kerr-AdS Black Holes and the AdS/CFT Correspondence
- Mass of Rotating Black Holes in Gauged Supergravities
- Conserved Charges of Higher D Kerr-AdS Spacetimes
- On the mass of a Kerr-anti-de Sitter spacetime in D dimensions
- Diffeomorphisms, Anomalies and the Fefferman-Graham Ambiguity
- Bulk/Boundary Thermodynamic Equivalence, and the Bekenstein and Cosmic-Censorship Bounds for Rotating Charged AdS Black Holes
- Non-extremal Charged Rotating Black Holes in Seven-Dimensional Gauged Supergravity
- Holographic Renormalisation and Anomalies
- Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
- Scale Vs. Conformal Invariance in the AdS/CFT Correspondence
- Thermodynamics of Dual CFTs for Kerr-AdS Black Holes
- AdS/CFT Casimir Energy for Rotating Black Holes
- Hypersurface-Invariant Approach to Cosmological Perturbations
- On the structure of asymptotically de Sitter and anti-de Sitter spaces
Cited by in corpus (4)
- Polymer quantization and the saddle point approximation of partition functions
- Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
- Explicit form of the Mann-Marolf surface term in (3+1) dimensions
- Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions