New theoretical approaches to black holes
arXiv:0803.2944 · doi:10.1016/j.newar.2008.03.026
Abstract
Quite recently, some new mathematical approaches to black holes have appeared in the literature. They do not rely on the classical concept of event horizon -- which is very global, but on the local concept of hypersurfaces foliated by trapped surfaces. After a brief introduction to these new horizons, we focus on a viscous fluid analogy that can be developed to describe their dynamics, in a fashion similar to the membrane paradigm introduced for event horizons in the seventies, but with a significant change of sign of the bulk viscosity.
10 pages, 6 figures, to appear in the Proceedings of the Conference "Jean-Pierre Lasota, X-ray binaries, accretion disks and compact stars" (Trzebieszowice, Poland, 7-13 October 2007), edited by M. Abramowicz and O. Straub, Elsevier, in press
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