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Black holes: The membrane paradigm
TLDR
In this article, the physics of black holes are explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space, and a 3+1 formalism is used to split Schwarzschild space-time and the laws of physics outside a nonrotating hole.Abstract:
The physics of black holes is explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space. A 3+1 formalism is used to split Schwarzschild space-time and the laws of physics outside a nonrotating hole, which permits treatment of the atmosphere in terms of the physical properties of thin slices. The model is applied to perturbed slowly or rapidly rotating and nonrotating holes, and to quantify the electric and magnetic fields and eddy currents passing through a membrane surface which represents a stretched horizon. Features of tidal gravitational fields in the vicinity of the horizon, quasars and active galalctic nuclei, the alignment of jets perpendicular to accretion disks, and the effects of black holes at the center of ellipsoidal star clusters are investigated. Attention is also given to a black hole in a binary system and the interactions of black holes with matter that is either near or very far from the event horizon. Finally, a statistical mechanics treatment is used to derive a second law of thermodynamics for a perfectly thermal atmosphere of a black hole.read more
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Journal ArticleDOI
Erratum: Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission [Phys. Rev. D 61 , 084004 (2000)]
Journal ArticleDOI
Black hole complementarity and firewall in two dimensions
TL;DR: It is found that the duplication of information can be observed without resort to assuming an excessively large number of scalar fields in the RST model, an exactly soluble quantized model in two dimensions.
Book ChapterDOI
Mathematical Foundations of the Theory of Relativistic Stellar and Black Hole Configurations
TL;DR: In the year 1783, Benjamin Franklin (then U.S. representative in France) wrote from Paris to his regular London scientific correspondent Sir Joseph Banks (then president of the Royal Society) that the most exciting recent development in France was the breakthrough in ballooning resulting from the use by Charles of hydrogen (as an alternative to the hot air technique that had just been tried out with only moderate success by the Montgolfiers).
Journal ArticleDOI
The Blandford-Znajek mechanism and emission from isolated accreting black holes
TL;DR: In this paper, the authors used self-similar advection dominated accretion (ADAF) models to estimate the efficiency of this mechanism for black holes accreting from geometrically thick disks, in the light of recent magnetohydrodynamic disk simulations, and showed that the power from electromagnetic energy extraction exceeds the accretion luminosity for ADAFs at sufficiently low accretion rates.
Journal ArticleDOI
Horizon boundary condition for black hole spacetimes.
TL;DR: The details of the implementation of a horizon boundary condition scheme based on using a horizon locking coordinate which locks the coordinate system to the geometry, and a finite differencing scheme which respects the causal structure of the spacetime are reported.