MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

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

Daniel Grumiller and Dmitri Vassilevich


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.

04.60.-m, 11.25.-w, 04.70.-s
dilaton gravity, strings, black holes

Related publications

2002 Repository Open Access
Dmitri V. Vassilevich and Daniel Grumiller

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

In: Journal of high energy physics, 2002 (2002) 11, p. 018