

Preprint 94/2002
Non-existence of a dilaton gravity action for the exact string black hole
Daniel Grumiller and Dmitri Vassilevich
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Submission date: 25. Oct. 2002
Pages: 25
published in: Journal of high energy physics, 2002 (2002) 11, art-no. 018
Bibtex
PACS-Numbers: 04.60.-m, 11.25.-w, 04.70.-s
Keywords and phrases: dilaton gravity, strings, black holes
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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.