This paper studies several aspects of asymptotically hyperbolic Einstein metrics, mostly on 4-manifolds. We prove boundary regularity (at infinity) for such metrics and establish uniqueness under natural conditions on the boundary data. By examination of explicit black hole metrics, it is shown that neither uniqueness nor finiteness holds in general for AH Einstein metrics with a prescribed con...

We study static brane configurations in the bulk background of the topological black holes in asymptotically flat spacetime. We find that such configurations are possible even for flat black hole horizon, unlike the AdS black hole case. We construct the brane world model with an orbifold structure S/Z2 in such bulk background. We also study massless bulk scalar field.

Perturbations of the Kerr black hole in the class of axisymmetric artificial black holes. Abstract Artificial black holes (called also acoustic or optical black holes) are the black holes for the linear wave equation describing the wave propagation in a moving medium. They attracted a considerable interest of physicists who study them to better understand the black holes in general relativity. ...

We present a new class of 3D black hole initial data sets for numerical relativity. These data sets go beyond the axisymmetric, " gravity wave plus rotating black hole " single black hole data sets by creating a dynamic, distorted hole with adjustable distortion parameters in 3D. These data sets extend our existing test beds for 3D numerical relativity, representing the late stages of binary bl...

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is equivalent (under duality) to the previously discussed three dimensional black string solution. Since the black string is asymptotically flat and the black ho...

We present a new class of 3D black hole initial data sets for numerical relativity. These data sets go beyond the axisymmetric, " gravity wave plus rotating black hole " single black hole data sets by creating a dynamic, distorted hole with adjustable distortion parameters in 3D. These data sets extend our existing test beds for 3D numerical relativity, representing the late stages of binary bl...

We claim that imposing energy conservation to the emission of Hawking radiation and to the modelling of black hole evaporation might prevent black hole explosions as well as violations of the third law of black hole thermodynamics. This is specifically shown for the general class of spherically symmetric quantum black holes described by an effective quantum vacuum invariant under boosts in the ...

In models with extra dimensions, a black hole evaporates both in the bulk and on the visible brane, where standard model fields live. The exact emissivities of each particle species are needed to determine how the black hole decay proceeds. We compute and discuss the absorption crosssections, the relative emissivities and the total power output of all known fields in the evaporation phase. Grav...

The generic crease set of an event horizon possesses anisotropic structure though most of black holes are dynamically stable. This fact suggests that a generic almost spherical black hole has a very crumpled crease set in a microscopic scale though the crease set is similar to a pointwise crease set in a macroscopic scale. In the present article, we count the number of such micro-states of an a...

Beyond all reasonable doubt, black holes are commonly found in the nuclei of most normal galaxies. In recent years, dynamical measurements of hole masses have transformed the study of their functioning and evolution. In particular, relating their masses, as measured contemporaneously, to the properties of distant quasars can constrain models of the combined evolution of black holes and their ho...