Two-dimensional matterless dilaton gravity with an 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.
M. Cavaglia, "Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity," Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 59, no. 8, American Physical Society (APS), Mar 1999.
The definitive version is available at https://doi.org/10.1103/PhysRevD.59.084011
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© 1999 American Physical Society (APS), All rights reserved.
01 Mar 1999