308 research outputs found
Chern-Simons Gravity and Holographic Anomalies
We present a holographic treatment of Chern-Simons (CS) gravity theories in
odd dimensions. We construct the associated holographic stress tensor and
calculate the Weyl anomalies of the dual CFT.Comment: Added references, and minor corrections. 21 pages, havmac, no figure
Black hole solutions in 2+1 dimensions
We give circularly symmetric solutions for null fluid collapse in
2+1-dimensional Einstein gravity with a cosmological constant. The fluid
pressure and energy density are related by . The
long time limit of the solutions are black holes whose horizon structures
depend on the value of . The solution is the
Banados-Teitelboim-Zanelli black hole metric in the long time static limit,
while the solutions give other, `hairy' black hole metrics in this limit.Comment: 8 pages, RevTeX (to appear in Phys. Rev. D) References to Mann and
Ross, and Mann, Chan and Chan adde
Graphene and the Zermelo Optical Metric of the BTZ Black Hole
It is well known that the low energy electron excitations of the curved
graphene sheet are solutions of the massless Dirac equation on a 2+1
dimensional ultra-static metric on . An externally
applied electric field on the graphene sheet induces a gauge potential which
could be mimicked by considering a stationary optical metric of the Zermelo
form, which is conformal to the BTZ black hole when the sheet has a constant
negative curvature. The Randers form of the metric can model a magnetic field,
which is related by a boost to an electric one in the Zermelo frame. We also
show that there is fundamental geometric obstacle to obtaining a model that
extends all the way to the black hole horizon.Comment: 10 pages Latex, no figures, substantial revisions, relation between
magnetic and electric fields and Randers and Zermelo forms clarifie
Supergeometry of Three Dimensional Black Holes
We show how the supersymmetric properties of three dimensional black holes
can be obtained algebraically. The black hole solutions are constructed as
quotients of the supergroup by a discrete subgroup of its
isometry supergroup. The generators of the action of the isometry supergroup
which commute with these identifications are found. These yield the
supersymmetries for the black hole as found in recent studies as well as the
usual geometric isometries. It is also shown that in the limit of vanishing
cosmological constant, the black hole vacuum becomes a null orbifold, a
solution previously discussed in the context of string theory.Comment: 12 pages, harvmac, discussion of rotating black hole added, some
minor corrections, reference adde
Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon
In this paper, we study different cases of the charged rotating BTZ black
hole with reference to their horizons. For the existence of these cases
conditions on mass, charge and angular momentum of the black hole are obtained.
It is also shown that the Einstein field equations for the charged rotating BTZ
black hole at the horizon can be expressed as first law of thermodynamics,
.Comment: 12 pages, 3 figure
Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions
Time-symmetric initial data for two-body solutions in three dimensional
anti-deSitter gravity are found. The spatial geometry has constant negative
curvature and is constructed as a quotient of two-dimensional hyperbolic space.
Apparent horizons correspond to closed geodesics. In an open universe, it is
shown that two black holes cannot exist separately, but are necessarily
enclosed by a third horizon. In a closed universe, two separate black holes can
exist provided there is an additional image mass.Comment: 12 pages, harvmac macro, minor changes in wordin
Integrability of the N-body problem in (2+1)-AdS gravity
We derive a first order formalism for solving the scattering of point sources
in (2+1) gravity with negative cosmological constant. We show that their
physical motion can be mapped, with a polydromic coordinate transformation, to
a trivial motion, in such a way that the point sources move as time-like
geodesics (in the case of particles) or as space-like geodesics (in the case of
BTZ black holes) of a three-dimensional hypersurface immersed in a
four-dimensional Minkowskian space-time, and that the two-body dynamics is
solved by two invariant masses, whose difference is simply related to the total
angular momentum of the system.Comment: 15 pages, LaTeX, no figure
Perturbative Analysis of the Two-body Problem in (2+1)-AdS gravity
We derive a perturbative scheme to treat the interaction between point
sources and AdS-gravity. The interaction problem is equivalent to the search of
a polydromic mapping , endowed with 0(2,2) monodromies,
between the physical coordinate system and a Minkowskian 4-dimensional
coordinate system, which is however constrained to live on a hypersurface. The
physical motion of point sources is therefore mapped to a geodesic motion on
this hypersuface. We impose an instantaneous gauge which induces a set of
equations defining such a polydromic mapping. Their consistency leads naturally
to the Einstein equations in the same gauge. We explore the restriction of the
monodromy group to O(2,1), and we obtain the solution of the fields
perturbatively in the cosmological constant.Comment: 19 pages, no figures, LaTeX fil
Higher Spin Black Holes in Three Dimensions: Comments on Asymptotics and Regularity
In the context of (2+1)--dimensional SL(N,R)\times SL(N,R) Chern-Simons theory we explore issues related to regularity and asymptotics on the solid torus, for stationary and circularly symmetric solutions. We display and solve all necessary conditions to ensure a regular metric and metric-like higher spin fields. We prove that holonomy conditions are necessary but not sufficient conditions to ensure regularity, and that Hawking conditions do not necessarily follow from them. Finally we give a general proof that once the chemical potentials are turn on -- as demanded by regularity -- the asymptotics cannot be that of Brown-Henneaux
(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
We extend the derivation of the Hawking temperature of a Schwarzschild black
hole via the Heisenberg uncertainty principle to the de Sitter and anti-de
Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter
black holes is obtained from the generalized uncertainty principle of string
theory and non-commutative geometry. This may explain why the thermodynamics of
(anti-)de Sitter-like black holes admits a holographic description in terms of
a dual quantum conformal field theory, whereas the thermodynamics of
Schwarzschild-like black holes does not.Comment: 10 pages, revtex
- …