554 research outputs found
Black Holes Without Coordinates
These lectures describe how to study the geometry of some black holes without
the use of coordinates.Comment: 10 pages, 2 figures. Lectures presented at the Cargese Summer School,
"Theory and Particle Physics: the LHC perspective and beyond" (June 16 to
June 28, 2008). This paper is a sequel to gr-qc/070111
Three-dimensional quantum geometry and black holes
We review some aspects of three-dimensional quantum gravity with emphasis in
the `CFT -> Geometry' map that follows from the Brown-Henneaux conformal
algebra. The general solution to the classical equations of motion with anti-de
Sitter boundary conditions is displayed. This solution is parametrized by two
functions which become Virasoro operators after quantisation. A map from the
space of states to the space of classical solutions is exhibited. Some recent
proposals to understand the Bekenstein-Hawking entropy are reviewed in this
context. The origin of the boundary degrees of freedom arising in 2+1 gravity
is analysed in detail using a Hamiltonian Chern-Simons formalism.Comment: 39 pages, Latex, no figures. Invited talk at the Second Meeting
"Trends in Theoretical Physics", held in Buenos Aires, December, 1998. v2:
References added and minor corrections. v3: An incorrect statement about the
sign of the Chern-Simons level erased. Extended (and in some cases modified)
discussions in most sections. References adde
Notes on black holes and three dimensional gravity
These notes are the written version of two lectures delivered at the VIII
Mexican School on Particles and Fields on November 1998. The level of the notes
is basic assuming only some knowledge on Statistical Mechanics, General
Relativity and Yang-Mills theory. After a brief introduction to the classical
and semiclassical aspects of black holes, we review some relevant results on
2+1 quantum gravity. These include the Chern-Simons formulation and its affine
Kac-Moody algebra, the asymptotic algebra of Brown and Henneaux, and the
statistical mechanics description of 2+1 black holes. Hopefully, this
contribution will be complementary with the review paper hep-th/9901148 by the
same author, and perhaps, a shortcut to some recent developments in three
dimensional gravity.Comment: 20 pages. Uses aipproc. To appear in the proceedings of the VIII
Mexican School on Particles and Field
Solitons and Black Holes
We explore the relationship between black holes in Jackiw-Teitelboim(JT)
dilaton gravity and solitons in sine-Gordon field theory. Our analysis expands
on the well known connection between solutions of the sine-Gordon equation and
constant curvature metrics. In particular, we show that solutions to the
dilaton field equations for a given metric in JT theory also solve the
sine-Gordon equation linearized about the corresponding soliton. Since the
dilaton generates Killing vectors of the constant curvature metric, it is
interesting that it has an analoguous interpretation in terms of symmetries of
the soliton solution. We also show that from the Bcklund
transformations relating different soliton solutions, it is possible to
construct a flat SL(2,R) connection which forms the basis for the gauge theory
formulation of JT dilaton gravity.Comment: Substantial revisions in sections 4-5, Latex file, 13 pages.
Typographical errors corrected; accepted for publication in Phys. Lett.
Emission of Fermions from BTZ Black Holes
The emission rate of fermions from 2+1 dimensional BTZ black holes is shown
to have a form which can be reproduced from a conformal field theory at finite
temperature. The rate obtained for fermions is identical to the rate of
non-minimally coupled fermions emitted from a five dimensional black hole,
whose near horizon geometry is BTZ X M, where M is a compact manifold.Comment: 18 pages, REVTEX. Typos corrected, compact version to appear in Phys.
Lett.
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