Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-04
Class.Quant.Grav.25:095013,2008
Physics
High Energy Physics
High Energy Physics - Theory
Minor changes in the section organization; Added footnotes and references; Accepted in Class. Quant. Grav
Scientific paper
10.1088/0264-9381/25/9/095013
Hawking's area theorem can be understood from a quasi-stationary process in which a black hole accretes $positive$ energy matter, ``independent of the details of the gravity action''. I use this process to study the dynamics of the ``inner'' as well as the outer horizons for various black holes which include the recently discovered exotic black holes and three-dimensional black holes in higher derivative gravities as well as the usual BTZ black hole and the Kerr black hole in four dimensions. I find that the area for the inner horizon ``can decrease'', rather than increase, with the quasi-stationary process. However, I find that the area for the outer horizon ``never decrease'' such as the usual area theorem still works in our examples, though this is quite non-trivial in general. There exist the instability of the inner horizons and the connected effects of ``mass inflation'' but, according to more detailed analysis, it seems that the instability is not important in my analysis. I also find a ``generalized'' area theorem by combining those of the outer and inner horizons.
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