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The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from identifications of points of anti-de Sitter space by a discrete subgroup of SO(2, 2). The generic black hole is a smooth manifold in(More)
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at infinityis quite similar to its 3+1 counterpart. Anti-de Sitter space appears as a negative energy state separated by a(More)
We calculate the density of states of the 2+1 dimensional BTZ black hole in the microand grand-canonical ensembles. Our starting point is the relation between 2+1 dimensional quantum gravity and quantised Chern-Simons theory. In the microcanonical ensemble, we find the Bekenstein–Hawking entropy by relating a Kac-Moody algebra of global gauge charges to a(More)
Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are studied. The action is, in odd dimensions, the Chern-Simons form for the anti-de Sitter group and, in even dimensions, the Euler density constructed with the Lorentz part of the anti-de Sitter(More)
Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five dimensional anti-de Sitter black hole including, its relation to thermal anti-de Sitter space, its embedding in a(More)
Constant curvature black holes are constructed by identifying points in anti-de Sitter space. In n dimensions, the resulting topology is <×S1, as opposed to the usual < ×Sn−2 Schwarzschild black hole, and the corresponding causal structure is displayed by a (n − 1)−dimensional picture, as opposed to the usual 2-dimensional Kruskal diagram. The five(More)
Anti-de Sitter supergravity models are considered in three dimensions. Precise asymptotic conditions involving a chiral projection are given on the Rarita-Schwinger fields. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic symmetry algebra is the superconformal algebra. The classical central charge is(More)
The holographic Weyl anomaly associated to Chern-Simons gravity in 2n + 1 dimensions is proportional to the Euler term in 2n dimensions, with no contributions from the Weyl tensor. We compute the holographic energy-momentum tensor associated to ChernSimons gravity directly from the action, in an arbitrary odd-dimensional spacetime. We show, in particular,(More)
Indeed, these symmetries differ from the Lie derivative only by a gauge transformation and are often called improved diffeomorphisms @1#. If the only symmetries of the ChernSimons action are the diffeomorphisms ~3! and the gauge transformations ~2!, then we shall say that there is no accidental gauge symmetry. How this translates into an algebraic condition(More)