Second Law of Black Hole Mechanics for all 2d Dilaton Theories

Details Second Law of Black Hole Mechanics for all 2d Dilaton Theories Second Law of Black Hole Mechanics for all 2d Dilaton Theories

2000-09-19

arxiv.org/abs/hep-th/0009145v2

Phys.Rev. D63 (2001) 024021

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, References added, one formula (without change of the results) corrected

Scientific paper

10.1103/PhysRevD.63.024021

It is shown that all generalized two--dimensional dilaton theories with arbitrary matter content (with a curvature independent coupling to gravity) do not only obey a first law of black hole mechanics (which follows from Wald's general considerations, if the entropy S is defined appropriately), but also a second law: \delta S \ge 0 provided only that the null energy condition holds and that, loosely speaking, for late times a stationary state is assumed. Also any two-dimensional f(R)--theory is covered. This generalizes a previous proof of Frolov [1] to a much wider class of theories.

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