300 research outputs found
Aspects of (2+1) dimensional gravity: AdS3 asymptotic dynamics in the framework of Fefferman-Graham-Lee theorems
Using the Chern-Simon formulation of (2+1) gravity, we derive, for the
general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the
emergence of the Liouville mode associated to the boundary degrees of freedom
of (2+1) dimensional anti de Sitter geometries.Comment: 6 pages, Latex, presented at the Journees Relativistes 99, Weimar,
September 12-17, 1999; revised version with minor modifications and 1
reference adde
Global geometry of the 2+1 rotating black hole
The generic rotating BTZ black hole, obtained by identifications in AdS3
space through a discrete subgroup of its isometry group, is investigated within
a Lie theoretical context. This space is found to admit a foliation by
two-dimensional leaves, orbits of a two-parameter subgroup of SL(2,R) and
invariant under the BTZ identification subgroup. A global expression for the
metric is derived, allowing a better understanding of the causal structure of
the black hole.Comment: 9 pages, 1 figur
Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS3 gravity
Using the Chern-Simon formulation of (2+1) gravity, we derive, for the
general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the
emergence of the Liouville mode associated to the boundary degrees of freedom
of (2+1) dimensional anti de Sitter geometries. Holonomies are described
through multi-valued gauge and Liouville fields and are found to algebraically
couple the fields defined on the disconnected components of spatial infinity.
In the case of flat boundary metrics, explicit expressions are obtained for the
fields and holonomies. We also show the link between the variation under
diffeomorphisms of the Einstein theory of gravitation and the Weyl anomaly of
the conformal theory at infinity.Comment: LaTeX, 26 pages, 1 figure, modified version that will appear in Nucl.
Phys.
Regular Poisson structures on massive non-rotating BTZ black holes
We revisit the non-rotating massive BTZ black hole within a pseudo-Riemannian
symmetric space context. Using classical symmetric space techniques we find
that every such space intrinsically carries a regular Poisson structure whose
symplectic leaves are para-hermitian symmetric surfaces. We also obtain a
global expression of the metric yielding a dynamical description of the black
hole from its initial to its final singularity.Comment: LaTex, 18 pages, 3 figures, version published in Nucl. Phys.
The Fefferman-Graham Ambiguity and AdS Black Holes
Asymptotically anti-de Sitter space-times in pure gravity with negative
cosmological constant are described, in all space-time dimensions greater than
two, by classical degrees of freedom on the conformal boundary at space-like
infinity. Their effective boundary action has a conformal anomaly for even
dimensions and is conformally invariant for odd ones. These degrees of freedom
are encoded in traceless tensor fields in the Fefferman-Graham asymptotic
metric for any choice of conformally flat boundary and generate all
Schwarzschild and Kerr black holes in anti-de Sitter space-time. We argue that
these fields describe components of an energy-momentum tensor of a boundary
theory and show explicitly how this is realized in 2+1 dimensions. There, the
Fefferman-Graham fields reduce to the generators of the Virasoro algebra and
give the mass and the angular momentum of the BTZ black holes. Their local
expression is the Liouville field in a general curved background.Comment: Latex, 14 pages; one reference modified, minor misprints correcte
Three-dimensional black holes from deformed anti-de Sitter
We present new exact three-dimensional black-string backgrounds, which
contain both NS--NS and electromagnetic fields, and generalize the BTZ black
holes and the black string studied by Horne and Horowitz. They are obtained as
deformations of the Sl(2,R) WZW model. Black holes resulting from purely
continuous deformations possess true curvature singularities. When discrete
identifications are introduced, extra chronological singularities appear, which
under certain circumstances turn out to be naked. The backgrounds at hand
appear in the moduli space of the Sl(2,R) WZW model. Hence, they provide exact
string backgrounds and allow for a more algebraical CFT description. This makes
possible the determination of the spectrum of primaries.Comment: JHEP style, 33 pages, 1 figur
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