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RIGIDITY OF STATIONARY BLACK HOLES WITH SMALL ANGULAR MOMENTUM ON THE HORIZON
RIGIDITY OF STATIONARY BLACK HOLES SMALL ANGULAR MOMENTUM THE HORIZON
2014/4/3
We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationar...
We present a detailed analysis of results from a new study of the quantum evaporation of Callan-Giddings-Harvey-Strominger (CGHS) black holes within the mean field approximation. This semi-classical t...
We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg eld
equations (EHFE) and prove that its e ective geometry contains (optical) black holes. It
is conjectured that...
Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity
Aspects of Spherical Symmetric Extremal Dyonic Black Holes 4d N=1 Supergravity
2011/3/2
In this paper we study several aspects of extremal spherical symmetric black hole solutions
of for four dimensional N = 1 supergravity coupled to vector and chiral multiplets with the scalar potentia...
Decay of linear waves on higher dimensional Schwarzschild black holes
Decay of linear waves higher dimensional Schwarzschild black holes
2011/3/4
In this paper we consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spacetimes and prove robust nondegenerate energy decay estimates that are in principle re...
Optimal boundary holes for the Sobolev trace constant
Optimal boundary holes the Sobolev trace constant
2010/11/18
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient $\|u\|_{W^{1,p}(\Omega)}^p / \|u\|_{L^q(\partial\Omega)}^p$ among functions that vanish in a set contained on the b...
Let $E(k, \ell)$ denote the smallest integer such that any set of at least $E(k, \ell)$ points in the plane, no three on a line, contains either an empty convex polygon with $k$ vertices or an empty ...
Topological Aspects of Entropy and Phase Transition of Kerr Black Holes
topological current entropy Kerr black hole Euler
characteristic Killing vector field
2007/8/15
2005Vol.44No.4pp.631-637DOI:
Topological Aspects of Entropy and Phase Transition of Kerr Black Holes
YANG Guo-Hong,1 YAN Ji-Jiang,1 TIAN Li-Jun,1 and DUAN Yi-Shi2
1 Depa...
It has recently been shown that the M theory lift of a IIA 4D BPS Calabi-Yau black hole is a 5D BPS black hole spinning at the center of a Taub-NUT-flux geometries, and a certain linear relation betwe...
We study higher-order corrections to two BPS solutions of 5D supergravity, namely the supersymmetric black ring and the spinning black hole. Due in part to our current relatively limited understanding...
A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole.Combining with recent results then l...