Birkhoff's theorem in two-dimensional dilaton gravity

Details Birkhoff's theorem in two-dimensional dilaton gravity Birkhoff's theorem in two-dimensional dilaton gravity

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.5227l&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 10, 15 May 1994, pp.5227-5230

Physics

64

Lower Dimensional Models, Minisuperspace Models, Canonical Quantization, Quantum Aspects Of Black Holes, Evaporation, Thermodynamics

Scientific paper

The most general dilaton gravity theory in two spacetime dimensions is studied. It is proven that, up to spacetime diffeomorphisms, the general solutions of the field equations form a one-parameter family of distinct static solutions. It is explained how this result is consistent with a recent analysis showing that the reduced phase space for this class of theories is two dimensional. In particular, the second phase space degree of freedom is explicitly constructed in terms of spacetime diffeomorphisms that cannot be generated canonically by local gauge transformations.

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