Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity
arXiv:hep-th/0603058 · doi:10.1103/PhysRevD.73.104013
Abstract
In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of Lovelock gravity with flat boundary at constant and . Second, we obtain the metric of spacetimes generated by brane sources in dimensionally continued gravity through the use of Hamiltonian formalism, and show that these solutions have no curvature singularity and no horizons, but have conic singularity. We show that these asymptotically AdS spacetimes which contain two fundamental constants are complete. Finally we compute the conserved quantities of these solutions through the use of the counterterm method introduced in the first part of the paper.
15 pages, references added, typos corrected
References in corpus (42)
- Large N Field Theories, String Theory and Gravity
- A Stress Tensor for Anti-de Sitter Gravity
- The Holographic Weyl anomaly
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Geometry of the 2+1 Black Hole
- Gauss-Bonnet Black Holes in AdS Spaces
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- The Gravitational Action in Asymptotically AdS and Flat Spacetimes
- Black Hole Scan
- Misner String Entropy
- Dimensionally Continued Black Holes
- Topological black holes in the dimensionally continued gravity
- Exact Black String Solutions in Three Dimensions
- Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
- Black holes with topologically nontrivial AdS asymptotics
- On Gauss-Bonnet black hole entropy
- Entropy of Rotating Misner String Spacetimes
- Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
- Conserved Quantities in Kerr-anti-de Sitter Spacetimes in Various Dimensions
- Finite action principle for Chern-Simons AdS gravity
- Thermodynamics of Asymptotically Flat Charged Black Holes in Third Order Lovelock Gravity
- Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
- Moving Observers, Non-orthogonal Boundaries, and Quasilocal Energies
- Holographic Stress Tensors for Kerr-AdS Black Holes
- NUT-Charged Black Holes in Gauss-Bonnet Gravity
- Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
- Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant
- Finite Action in d5 Gauged Supergravity and Dilatonic Conformal Anomaly for Dual Quantum Field Theory
- Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
- Charged Rotating Black Branes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
- Magnetic strings in anti-de Sitter General Relativity
- Quasilocal Thermodynamics of Kerr and Kerr-anti-de Sitter Spacetimes and the AdS/CFT Correspondence
- Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT correspondence
- Magnetic Branes in Gauss-Bonnet Gravity
- Counterterms and dual holographic anomalies in CS gravity
- Quasilocal Thermodynamics of Kerr de Sitter Spacetimes and the dS/CFT Correspondence
- Rotating Topological Black Branes in Various Dimensions and AdS/CFT Correspondence
- Thermodynamics of a Kerr Newman de Sitter Black Hole
- Critical Behavior of Dimensionally Continued Black Holes
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- Higher-dimensional thin-shell wormholes in third-order Lovelock gravity
- Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity
- On black strings & branes in Lovelock gravity
- Taub-NUT Black Holes in Third order Lovelock Gravity
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- Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method
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- Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes
- Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes
- Simple counterterms for asymptotically AdS spacetimes in Lovelock gravity
- Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
- Quartic Quasi-Topological-Born-Infeld Gravity
- Static and Radiating Solutions of Lovelock Gravity in the Presence of a Perfect Fluid
- Thermodynamics of Gauss-Bonnet-Dilaton Lifshitz Black Branes
- General proof of (maximum) entropy principle in Lovelock gravity
- Conserved charges in (Lovelock) gravity in first order formalism
- Non-analyticity of holographic Rényi entropy in Lovelock gravity
- A new formula for conserved charges of Lovelock gravity in AdS spacetimes and its generalization
- Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
- Counterterms for Static Lovelock Solutions
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