Geometric inequalities for axially symmetric black holes
نویسندگان
چکیده
منابع مشابه
The inequality between mass and angular momentum for axially symmetric black holes
In this essay I first discuss the physical relevance of the inequality m ≥ √ |J | for axially symmetric (non-stationary) black holes, where m is the mass and J the angular momentum of the spacetime. Then, I present a proof of this inequality for the case of one spinning black hole. The proof involves a remarkable characterization of the extreme Kerr black hole as an absolute minimum of the tota...
متن کاملGeometric Structure Estimation of Axially Symmetric Pots from Small Fragments
The recovery of geometric structure from noisy data poses difficult non-linear statistical estimation problems. This paper describes a novel, robust, low computational cost approach for finding the geometric structure of an axially symmetric pot from a small fragment of it (an unorganized set of 3D points). This problem is of great archaeological importance to the study of the hundreds and thou...
متن کاملHypertime formalism for spherically symmetric black holes and wormholes.
Recent work on an approach to the geometrodynamics of cylindrical gravity waves in the presence of interacting scalar matter fields, based on the Kuchař hypertime formalism, is extended to the analogous spherically symmetric system. This produces a geometrodynamical formalism for spherical black holes and wormholes in which the metric variables are divided into two classes, dynamical and redund...
متن کاملSpacetime Embedding Diagrams for Spherically Symmetric Black Holes
We show that it is possible to embed the 1+1 dimensional reduction of certain spherically symmetric black hole spacetimes into 2+1 Minkowski space. The spacetimes of interest (Schwarzschild de-Sitter, Schwarzschild anti de-Sitter, and Reissner-Nordstrom near the outer horizon) represent a class of metrics whose geometries allow for such embeddings. The embedding diagrams have a dynamic characte...
متن کاملStatistical Mechanics on Axially-symmetric Space-times with the Killing Horizon and Entropy of Rotating Black Holes in Induced Gravity
We develop a method for computing the free-energy of a canonical ensemble of quantum fields near the horizon of a rotating black hole. We show that the density of energy levels of a quantum field on a stationary background can be related to the density of levels of the same field on a fiducial static space-time. The effect of the rotation appears in the additional interaction of the ”static” fi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2012
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/29/7/073001