Non-existence of a dilaton gravity action for the exact string black hole
arXiv:hep-th/0210060 · doi:10.1088/1126-6708/2002/11/018
Abstract
We prove that no local diffeomorphism invariant two-dimensional theory of the metric and the dilaton without higher derivatives can describe the exact string black hole solution found a decade ago by Dijkgraaf, Verlinde and Verlinde. One of the key points in this proof is the concept of dilaton-shift invariance. We present and solve (classically) all dilaton-shift invariant theories of two-dimensional dilaton gravity. Two such models, resembling the exact string black hole and generalizing the CGHS model, are discussed explicitly.
24 pages, 3 eps-figures, revised version (more references, clarified some of the discussion)
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