Thermodynamics of Asymptotically Flat Charged Black Holes in Third Order Lovelock Gravity
arXiv:hep-th/0506227 · doi:10.1103/PhysRevD.72.124015
Abstract
We present a new class of asymptotically flat charge static solutions in third order Lovelock gravity. These solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided the parameters of the solutions are chosen suitable. We find that the uncharged asymptotically flat solutions can present black hole with two inner and outer horizons. This kind of solution does not exist in Einstein or Gauss-Bonnet gravity, and it is a special effect in third order Lovelock gravity. We compute temperature, entropy, charge, electric potential and mass of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis by computing the determinant of Hessian matrix of the mass with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that there exists only an intermediate stable phase.
arXiv comment16 pages, two figures, a few references, and one sections added. Some properties of these new solutions which are different from Gauss-Bonnet gravity have been highlighted
References in corpus (29)
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Gauss-Bonnet Black Holes in AdS Spaces
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- On Black Hole Entropy
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
- Entropy of Lovelock Black Holes
- The evolution of unstable black holes in anti-de Sitter space
- Black Hole Scan
- Misner String Entropy
- Dimensionally Continued Black Holes
- Topological black holes in the dimensionally continued gravity
- Nut Charge, Anti-de Sitter Space and Entropy
- Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
- 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
- Dirty black holes: Entropy as a surface term
- On Gauss-Bonnet black hole entropy
- Entropy of Rotating Misner String Spacetimes
- The Action of Instantons with Nut Charge
- Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
- Dirty black holes: Entropy versus area
- Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant
- Charged Rotating Black Branes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
- Black Holes with a Generalized Gravitational Action
- Magnetic Branes in Gauss-Bonnet Gravity
- De Sitter space versus Nariai Black Hole: stability in d5 higher derivative gravity
- Critical Behavior of Dimensionally Continued Black Holes
Cited by in corpus (70)
- Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Black Holes in Quasi-topological Gravity
- The Lovelock Black Holes
- P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
- Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
- Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
- Black Holes in Pure Lovelock Gravities
- Holography of Gravitational Action Functionals
- Topological Black Holes in Lovelock-Born-Infeld Gravity
- Clouds of strings in third-order Lovelock gravity
- Pathologies in Asymptotically Lifshitz Spacetimes
- Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
- Lovelock black holes with a power-Yang-Mills source
- Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
- Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
- Shear viscosity and instability from third order Lovelock gravity
- NUT-Charged Black Holes in Gauss-Bonnet Gravity
- Thermodynamic Instability of Black Holes of Third Order Lovelock Gravity
- Cloud of strings for radiating black holes in Lovelock gravity
- Lovelock black holes with maximally symmetric horizons
- Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
- Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
- Quasi-Topological Lifshitz Black Holes
- Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity
- Stability of Lovelock Black Holes under Tensor Perturbations
- Taub-NUT Black Holes in Third order Lovelock Gravity
- Note on Entanglement Temperature for Low Thermal Excited States in Higher Derivative Gravity
- Lorentzian Wormholes in Lovelock Gravity
- Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
- Lovelock Thin-Shell Wormholes
- Instability of Small Lovelock Black Holes in Even-dimensions
- Higher dimensional Yang-Mills black holes in third order Lovelock gravity
- Black Holes without Mass and Entropy in Lovelock Gravity
- Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity
- Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
- Theorem to generate Einstein-Non Linear Maxwell Fields
- Quasi-topological Reissner-Nordström Black Holes
- New non-Abelian black hole solutions in Born-Infeld gravity
- Third order Lovelock black branes in the presence of a nonlinear electromagnetic field
- Magnetic black holes with higher-order curvature and gauge corrections in even dimensions
- Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity
- Maxwell's equal area law for Lovelock Thermodynamics
- Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity
- Generating Static Spherically Symmetric Black-holes in Lovelock Gravity
- Thermodynamics of third order Lovelock anti-de Sitter black holes revisited
- Higher dimensional black holes with a generalized gravitational action
- Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes
- Lifshitz Quartic Quasitopological Black Holes
- Lovelock black holes with nonmaximally symmetric horizons
- Entropy from near-horizon geometries of Killing horizons
- Hamiltonian Formulation of Scalar Field Collapse in Einstein Gauss Bonnet Gravity
- Thermodynamic phase transition rate for the third-order Lovelock black hole in diverse dimensions
- Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
- Static and Radiating Solutions of Lovelock Gravity in the Presence of a Perfect Fluid
- Black hole solution in third order Lovelock gravity has no Gauss-Bonnet limit
- Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
- Thermodynamic phase transition and winding number for the third-order Lovelock black hole
- Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
- Higher-curvature generalization of Eguchi-Hanson spaces
- Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity
- Spherically symmetric gravitational collapse of a dust cloud in third order Lovelock Gravity
- Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
- A new metric for rotating black holes in Gauss-Bonnet gravity
- Holographic dark energy satisfying the energy conditions in Lovelock gravity
- Inhomogeneous metrics on complex bundles in Lovelock gravity
- New solutions of exotic charged black holes and their stability
- Dark Energy and Matter in 4 Dimensions From an Empty Kaluza-Klein Spacetime
- Generalized volume-complexity for Lovelock black holes
- Classical instability in Lovelock gravity