Non-existence of a dilaton gravity action for the exact string black hole

Details Non-existence of a dilaton gravity action for the exact string black hole Non-existence of a dilaton gravity action for the exact string black hole

2002-10-07

arxiv.org/abs/hep-th/0210060v2

JHEP 0211 (2002) 018

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 eps-figures, revised version (more references, clarified some of the discussion)

Scientific paper

10.1088/1126-6708/2002/11/018

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.

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