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arXiv · hep-th/9310047

An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes

Youngjai Kiem
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Abstract

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter fields other than a U(1) gauge field are obtained under a new gauge choice and recast in the conventional conformal gauge. These solutions imply that Birkhoff's theorem, originally applied to spherically symmetric 4-d Einstein gravity, can be applied to all models we consider. Some issues related to the coupling of massless scalar fields and the quantization are briefly discussed.

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Youngjai Kiem. 1993-10-07. An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes. https://doi.org/10.1016/0370-2693(94)91160-6

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