Physics
Scientific paper
Dec 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phdt.........1f&link_type=abstract
Thesis (PhD). THE PENNSYLVANIA STATE UNIVERSITY, Source DAI-B 62/06, p. 2772, Dec 2001, 109 pages.
Physics
Scientific paper
A set of boundary conditions defining an isolated horizon are specified. A space-time representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon. A local definition of surface gravity is given and the zeroth law is extended to isolated horizons. The action principle and Hamiltonian framework for space-times containing isolated horizons are introduced. Interestingly, in the non-rotating case, the first law is shown to arise as a necessary and sufficient condition for the existence of a consistent Hamiltonian evolution. Furthermore, by appealing to static solutions, in Einstein-Maxwell a physically motivated definition of isolated horizon mass is given. Although this notion of black hole mass does not extend to Einstein-Yang-Mills theory, the isolated horizon framework does lead to new predictions even for static black holes. Finally, a new class of solutions to the Einstein-Maxwell equations, which represent a class of charged distorted black holes, is presented. Physically, they represent charged black holes distorted by external matter fields. Isolated horizons provides a natural framework in which to discuss the first law for these black holes.
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