Phys. Rev. D 59, 084011 (1999) [8 pages]Geometrodynamical formulation of two-dimensional dilaton gravityReceived 31 July 1998; published 12 March 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.084011
DOI:
10.1103/PhysRevD.59.084011
PACS:
04.60.Ds, 04.20.Fy, 04.60.Kz
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