Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-19
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.
Duechting Norbert
Strobl Thomas
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