331 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
Uniqueness of the asymptotic AdS3 geometry
We explicitly show that in (2+1) dimensions the general solution of the
Einstein equations with negative cosmological constant on a neigbourhood of
timelike spatial infinity can be obtained from BTZ metrics by coordinate
transformations corresponding geometrically to deformations of their spatial
infinity surface. Thus, whatever the topology and geometry of the bulk, the
metric on the timelike extremities is BTZ.Comment: LaTeX, 8 pages, no figures, version that will appear in Class. Quant.
Gra
Godel-type space-time metrics
A simple group theoretic derivation is given of the family of space-time
metrics with isometry group SO(2,1) X SO(2) X R first described by Godel, of
which the Godel stationary cosmological solution is the member with a
perfect-fluid stress-energy tensor. Other members of the family are shown to be
interpretable as cosmological solutions with a electrically charged perfect
fluid and a magnetic field.Comment: Heavly rewritten respect to the orginal version, corrected some typos
due to files transfer in the last submitted versio
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.
Chiral supersymmetric pp-wave solutions of IIA supergravity
We describe solutions of type IIA (N=2, D=10) supergravity built under the
assumption of the existence of at least one residual chiral supersymmetry.
Their geometry is of pp-wave type. Explicit parametrization of the metric and
matter field components, in terms of Killing spinors and arbitrary functions,
is provided.Comment: LaTeX file, 10 page
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