Phys. Rev. D 63, 024021 (2000) [11 pages]Second law of black hole mechanics for all 2-dimensional dilaton theoriesReceived 26 September 2000; published 29 December 2000 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 δS>~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 to a much wider class of theories. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.024021
DOI:
10.1103/PhysRevD.63.024021
PACS:
04.20.Cv, 04.60.Kz, 04.70.Dy
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