Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity

Details Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity

1998-11-06

arxiv.org/abs/hep-th/9811059v1

Phys.Rev.D59:084011,1999

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LATEX

Scientific paper

10.1103/PhysRevD.59.084011

Two-dimensional matterless dilaton gravity with arbitrary dilatonic potential can be discussed in a unitary way, both in the Lagrangian and canonical frameworks, by introducing suitable field redefinitions. The new fields are directly related to the original spacetime geometry and in the canonical picture they generalize the well-known geometrodynamical variables used in the discussion of the Schwarzschild black hole. So the model can be quantized using the techniques developed for the latter case. The resulting quantum theory exhibits the Birkhoff theorem at the quantum level.

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