47 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
Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
We consider the quantum correlations, i.e. the entanglement, between two
systems uniformly accelerated with identical acceleration a in opposite Rindler
quadrants which have reached thermal equilibrium with the Unruh heat bath. To
this end we study an exactly soluble model consisting of two oscillators
coupled to a massless scalar field in 1+1 dimensions. We find that for some
values of the parameters the oscillators get entangled shortly after the moment
of closest approach. Because of boost invariance there are an infinite set of
pairs of positions where the oscillators are entangled. The maximal
entanglement between the oscillators is found to be approximately 1.4
entanglement bits.Comment: 11 page
Massive spin 2 propagator on de Sitter space
We compute the Pauli-Jordan, Hadamard and Feynman propagators for the massive
metrical perturbations on de Sitter space. They are expressed both in terms of
mode sums and in invariant forms.Comment: 30 pages + 1 eps fi
G3-homogeneous gravitational instantons
We provide an exhaustive classification of self-dual four-dimensional
gravitational instantons foliated with three-dimensional homogeneous spaces,
i.e. homogeneous self-dual metrics on four-dimensional Euclidean spaces
admitting a Bianchi simply transitive isometry group. The classification
pattern is based on the algebra homomorphisms relating the Bianchi group and
the duality group SO(3). New and general solutions are found for Bianchi III.Comment: 24 pages, few correction
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.