Conformal equivalence of 2D dilaton gravity models

TL;DR

This paper demonstrates that key physical observables of 2D dilaton gravity black holes remain invariant under Weyl rescalings and dilaton reparametrizations, clarifying their physical significance.

Contribution

It establishes the invariance of black hole observables under Weyl transformations in 2D dilaton gravity, providing new insights into their geometric and field theoretical interpretation.

Findings

Black hole mass, temperature, and Hawking flux are invariant under Weyl transformations.

Weyl invariance extends to dilaton reparametrizations in 2D dilaton gravity.

The invariance clarifies the physical meaning of these transformations.

Abstract

We investigate the behavior of generic, matter-coupled, 2D dilaton gravity theories under dilaton-dependent Weyl rescalings of the metric. We show that physical observables associated with 2D black holes, such as the mass, the temperature and the flux of Hawking radiation are invariant under the action of both Weyl transformations and dilaton reparametrizations. The field theoretical and geometrical meaning of these invariances is discussed.