Three-Dimensional Black Holes and String Theory (2007)
Danny Birmingham, Ivo Sachs, Siddhartha Sen
The exact decay rate for emission of massless minimally coupled scalar fields by a non-extremal black hole in 2 + 1 dimensions is obtained. At low energy, the decay rate into scalars with zero...
Stability of Topological Black Holes (2007)
Birmingham, Danny, Mokhtari, Susan
We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge...
Exact Gravitational Quasinormal Frequencies of Topological Black Holes (2006)
Birmingham, Danny, Mokhtari, Susan
We compute the exact gravitational quasinormal frequencies for massless topological black holes in d-dimensional anti-de Sitter space. Using the gauge invariant formalism for gravitational...
Non-Quasinormal Modes and Black Hole Physics (2003)
The near-horizon geometry of a large class of extremal and near-extremal black holes in string and M theory contains three-dimensional asymptotically anti-de Sitter space. Motivated by this...
Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes (2003)
We determine the quasinormal frequencies for all gravitational perturbations of the d-dimensional Schwarzschild black hole, in the infinite damping limit. Using the potentials for gravitational...
Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions (2003)
Birmingham, Danny, Carlip, Steven, Chen, Yujun
We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the...
Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes (2002)
Birmingham, Danny, Sachs, Ivo, Solodukhin, Sergey N.
We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse...
Bubbles in Anti-de Sitter Space (2002)
Birmingham, Danny, Rinaldi, Massimiliano
We explore the bubble spacetimes which can be obtained from double analytic continuations of static and rotating black holes in anti-de Sitter space. In particular, we find that rotating black holes...
Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes (2001)
Birmingham, Danny, Sachs, Ivo, Solodukhin, Sergey N.
We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between...
Brane World in a Topological Black Hole Bulk (2001)
Birmingham, Danny, Rinaldi, Massimiliano
We consider a static brane in the background of a topological black hole, in arbitrary dimensions. For hyperbolic horizons, we find a solution only when the black hole mass assumes its minimum...
The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes (2001)
Birmingham, Danny, Mokhtari, Soussan
We consider the conformal field theory which is dual to the Taub-Bolt-AdS spacetime. It is shown that the Cardy-Verlinde formula for the entropy of the conformal field theory agrees precisely with...
Exact Results for the BTZ Black Hole (2001)
Birmingham, Danny, Sachs, Ivo, Sen, Siddhartha
In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime...
Near-Horizon Conformal Structure of Black Holes (2001)
Birmingham, Danny, Gupta, Kumar S., Sen, Siddhartha
The near-horizon properties of a black hole are studied within an algebraic framework, using a scalar field as a simple probe to analyze the geometry. The operator H governing the near-horizon...
Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence (2001)
We establish an exact connection between the Choptuik scaling parameter for the three-dimensional BTZ black hole, and the imaginary part of the quasinormal frequencies for scalar perturbations. Via...
An Exact Black Hole Entropy Bound (2000)
Birmingham, Danny, Sen, Siddhartha
We show that a Rademacher expansion can be used to establish an exact bound for the entropy of black holes within a conformal field theory framework. This convergent expansion includes all subleading...
Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling (1999)
Birmingham, Danny, Sen, Siddhartha
We study the formation of BTZ black holes by the collision of point particles. It is shown that the Gott time machine, originally constructed for the case of vanishing cosmological constant, provides...
Geometrical Finiteness, Holography, and the BTZ Black Hole (1998)
Birmingham, Danny, Kennedy, Conall, Sen, Siddhartha, Wilkins, Andy
We show how a theorem of Sullivan provides a precise mathematical statement of a 3d holographic principle, that is, the hyperbolic structure of a certain class of 3d manifolds is completely...
Topological Black Holes in Anti-de Sitter Space (1998)
We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional...
String Theory Formulation of anti-de Sitter Black Holes (1998)
It is shown that the five-dimensional anti-de Sitter black hole is a supersymmetric solution of the low-energy field equations of type IIB string theory compactified on an Einstein space. A...
Entropy of Three-Dimensional Black Holes in String Theory (1998)
Birmingham, Danny, Sachs, Ivo, Sen, Siddhartha
It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution...
A Closed Contour of Integration in Regge Calculus (1997)
The analytic structure of the Regge action on a cone in $d$ dimensions over a boundary of arbitrary topology is determined in simplicial minisuperspace. The minisuperspace is defined by the...
Cobordism Effects in the Regge Calculus Approach to Quantum Cosmology (1995)
We study the ground state wave function for a universe which is topologically a lens space within the Regge calculus approach. By restricting the four dimensional simplicial complex to be a cone over...
Discrete Quantum Field Theories and the Intersection Form (1994)
Birmingham, Danny, Rakowski, Mark
It is shown that the standard mod-$p$ valued intersection form can be used to define Boltzmann weights of subdivision invariant lattice models with gauge group $Z_{p}$. In particular, we discuss a...
State Sum Models and Simplicial Cohomology (1994)
Birmingham, Danny, Rakowski, Mark
We study a class of subdivision invariant lattice models based on the gauge group $Z_{p}$, with particular emphasis on the four dimensional example. This model is based upon the assignment of field...
On Dijkgraaf-Witten Type Invariants (1994)
Birmingham, Danny, Rakowski, Mark
We explicitly construct a series of lattice models based upon the gauge group $Z_{p}$ which have the property of subdivision invariance, when the coupling parameter is quantized and the field...
Combinatorial Invariants from Four Dimensional Lattice Models: II (1993)
Birmingham, Danny, Rakowski, Mark
Revision contains rewording of selected text
Combinatorial Invariants from Four Dimensional Lattice Models (1993)
Birmingham, Danny, Rakowski, Mark
We study the subdivision properties of certain lattice gauge theories based on the groups $Z_{2}$ and $Z_{3}$, in four dimensions. The Boltzmann weights are shown to be invariant under all type...