An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes
arXiv:hep-th/9310047 · doi:10.1016/0370-2693(94)91160-6
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.
11 pages, PUPT-1423
References in corpus (3)
Cited by in corpus (11)
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- Static and Dynamic Analysis of a Massless Scalar Field Coupled with a Class of Gravity Theories
- Exactly solvable charged dilaton gravity theories in two dimensions
- Birkhoff's Theorem and Uniqueness: A Peek Beyond General Relativity
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