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The Lovelock Black Holes
Modern Physics Letters A, 23 (22): 1801--1818 (19.08.2009)
DOI: 10.1142/s0217732308027497
Аннотация
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.
