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Consequences of Analytic Boundary Conditions in AdS
Gary T. Horowitz, Diandian Wang
We investigate the effects of an analytic boundary metric for smooth asymptotically anti-de Sitter gravitational solutions. The boundary dynamics is then completely determined by t…
Geons and the Instability of Anti-de Sitter Spacetime
Gary T. Horowitz, Jorge E. Santos
We briefly review the evidence that anti-de Sitter spacetime is nonlinearly unstable, and the perturbative arguments that there should exist geons - nonsingular solutions to Einste…
Quantum gravity via supersymmetry and holography
Henriette Elvang, Gary T. Horowitz
We review the approach to quantum gravity based on supersymmetry, strings, and holography. This includes a survey of black holes in higher-dimensions, supersymmetry and supergravit…
On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions
Oscar J. C. Dias, Gary T. Horowitz, Don Marolf +1
Despite the recent evidence that anti-de Sitter spacetime is nonlinearly unstable, we argue that many asymptotically anti-de Sitter solutions are nonlinearly stable. This includes…
General black holes in Kaluza-Klein theory
Gary T. Horowitz, Toby Wiseman
A brief review is given of black holes in Kaluza-Klein theory. This includes both solutions which are homogeneous around the compact extra dimension and those which are not.
Surprising Connections Between General Relativity and Condensed Matter
Gary T. Horowitz
This brief review is intended to introduce gravitational physicists to recent developments in which general relativity is being used to describe certain aspects of condensed matter…
Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
Aaron J. Amsel, Gary T. Horowitz, Donald Marolf +1
We prove that the only four dimensional, stationary, rotating, asymptotically flat (analytic) vacuum black hole with a single degenerate horizon is given by the extremal Kerr solut…
On Universality of Ergoregion Mergers
Henriette Elvang, Pau Figueras, Gary T. Horowitz +2
We study mergers of ergoregions in -dimensional vacuum gravity. At the merger point, where the ergosurfaces bounding each ergoregion just touch, solutions exhibit universal be…
Higher Dimensional Generalizations of the Kerr Black Hole
Gary T. Horowitz
A brief introduction is given to rotating black holes in more than four spacetime dimensions.
Spacetime in String Theory
Gary T. Horowitz
We give a brief overview of the nature of spacetime emerging from string theory. This is radically different from the familiar spacetime of Einstein's relativity. At a perturbative…
Update on Cosmic Censorship Violation in AdS
Thomas Hertog, Gary T. Horowitz, Kengo Maeda
We reexamine our proposed counterexample (gr-qc/0307102) to cosmic censorship in anti de Sitter (AdS) space, and find a gap in the construction. We mention some possible ways to cl…
Generic Cosmic Censorship Violation in anti de Sitter Space
Thomas Hertog, Gary T. Horowitz, Kengo Maeda
We consider (four dimensional) gravity coupled to a scalar field with potential V(ϕ). The potential satisfies the positive energy theorem for solutions that asymptotically tend to…
Quantum Gravity at the Turn of the Millennium
Gary T. Horowitz
A very brief review is given of the current state of research in quantum gravity. Over the past fifteen years, two approaches have emerged as the most promising paths to a quantum…
Quantum States of Black Holes
Gary T. Horowitz
I review the recent progress in providing a statistical foundation for black hole thermodynamics. In the context of string theory, one can now identify and count quantum states ass…
Tests of Cosmic Censorship in the Ernst Spacetime
Gary T. Horowitz, Harrison J. Sheinblatt
The Ernst spacetime is a solution of the Einstein-Maxwell equations describing two charged black holes accelerating apart in a uniform electric (or magnetic) field. As the field ap…
Quantum Probes of Spacetime Singularities
Gary T. Horowitz, Donald Marolf
It is shown that there are static spacetimes with timelike curvature singularities which appear completely nonsingular when probed with quantum test particles. Examples include ext…
The Value of Singularities
Gary T. Horowitz, Robert Myers
We point out that spacetime singularities play a useful role in gravitational theories by eliminating unphysical solutions. In particular, we argue that any modification of general…
The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
S. W. Hawking, Gary. T. Horowitz
We give a general derivation of the gravitational hamiltonian starting from the Einstein-Hilbert action, keeping track of all surface terms. The surface term that arises in the ham…
Entropy, Area, and Black Hole Pairs
S. W. Hawking, Gary T. Horowitz, Simon F. Ross
We clarify the relation between gravitational entropy and the area of horizons. We first show that the entropy of an extreme Reissner-Nordström black hole is , despite the fa…
Testing Cosmic Censorship with Black Hole Collisions
Dieter Brill, Gary Horowitz, David Kastor +1
There exists an upper limit on the mass of black holes when the cosmological constant is positive. We study the collision of two black holes whose total mass exceeds this limit…