The Lovelock Black Holes

By Cecilia Garraffo, G. Giribet. 2008

166 citations recorded by the source corpus.

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 relativity and the so-called Chern–Simons theories of gravity as particular cases. 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 understanding 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4a405be35b1dce6db3ecf592ac61c5e04dddce20

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Citations in the corpus

The 4D Einstein–Gauss–Bonnet theory of gravity: a review (2022, unknown): “which is once again very similar to their higher-dimensional generalizations [255–257] (see reference [258] for a review on higher-dimensional Lovelock black holes).”
Smarr formula and an extended first law for Lovelock gravity (2010, background): “In particular, exact, static black hole solutions were found beginning with the work of the authors of [7–9] (see also the recent reviews [10, 11]).”
Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity (2009, background): “Thermodynamic properties of this black hole solution can be found in [33, 34, 35, 36] (and, in the special case λ = 1/4, in [37]; see also [38]).”
Action growth for AdS black holes (2016, background): “Gauss-Bonnet term naturally appears in the low energy effective action of heterotic string theory [32, 33] and can be derived from eleven-dimensional supergravity limit of M theory [34, 35].”