The Lovelock Black Holes

Abstract

Lovelock theory is a natural extension of Einstein theory of gravity to higher dimensions, and it is of great interest in theoretical physics as it describes a wide class of models. In particular, it describes string theory inspired ultraviolet corrections to Einstein-Hilbert action, while admits the Einstein general relativiy and the so called Chern-Simons theories of gravity as particular cases. Recently, five-dimensional Lovelock theory has been considered in the literature as a working example to illustrate the effects of including higher-curvature terms in the context of AdS/CFT correspondence. Here, we give an introduction to the black hole solutions of Lovelock theory and analyze their most important properties. These solutions can be regarded as generalizations of the Boulware-Deser solution of Einstein-Gauss-Bonnet gravity, which we discuss in detail here. We briefly discuss some recent progress in understading these and other solutions, like topological black holes that represent black branes of the theory, and vacuum thin-shell wormhole-like geometries that connect two different asymptotically de-Sitter spaces. We also make some comments on solutions with time-like naked singularities.

42 pages. Discussion on higher-curvature theories substantially extended

References in corpus (47)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Fourth order gravity: equations, history, and applications to cosmology
• Static wormhole solution for higher-dimensional gravity in vacuum
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Black Holes in Pure Lovelock Gravities
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Topological Black Holes in Lovelock-Born-Infeld Gravity
• Universal regularization prescription for Lovelock AdS gravity
• Entropy function and attractors for AdS black holes
• Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• 5D-Black Hole Solution in Einstein-Yang-Mills-Gauss-Bonnet Theory
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• On black strings & branes in Lovelock gravity
• Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
• Matter without matter: novel Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
• Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
• Instability of the negative mass Schwarzschild naked singularity
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity
• On boundary conditions in three-dimensional AdS gravity
• Taub-NUT Black Holes in Third order Lovelock Gravity
• Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models
• Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method
• Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
• Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
• Sub-leading contributions to the black hole entropy in the brick wall approach
• First-order Formalism and Odd-derivative Actions
• The symmetries of five-dimensional minimal supergravity reduced to three dimensions
• Vacuum Energy in Odd-Dimensional AdS Gravity
• Entropy Function and Universality of Entropy-Area Relation for Small Black Holes
• R^2 Corrections to Black Ring Entropy
• Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term
• Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
• Origin of matter out of pure curvature
• Conformal invariance and apparent universality of semiclassical gravity

Cited by in corpus (10)

• Lovelock black holes with a nonlinear Maxwell field
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• Thin-shell wormholes with a generalized Chaplygin gas
• Thin-shell wormholes in Brans-Dicke gravity
• Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
• The ratio of shear viscosity to entropy density in generalized theories of gravity
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• Black Holes in Higher Dimensional Gravity Theory with Quadratic in Curvature Corrections
• Vacuum static compactified wormholes in eight-dimensional Lovelock theory
• Kerr-Schild Ansatz in Lovelock Gravity