Can conformal Transformations change the fate of 2D black holes?

TL;DR

This paper demonstrates that in 2D dilaton gravity models, the conformal frame determines whether a black hole evaporates completely or reaches a stable end-point, highlighting the non-invariance of thermodynamic variables under conformal transformations.

Contribution

It reveals how conformal transformations influence black hole evaporation outcomes in 2D models, showing that the fate of black holes depends on the chosen conformal frame.

Findings

In one conformal frame, black holes evaporate completely.

In another frame, black holes reach a stable end-point.

Thermodynamic variables are not conformally invariant.

Abstract

By using a classical Liouville-type model of two dimensional dilaton gravity we show that the one-loop theory implies that the fate of a black hole depends on the conformal frame. There is one frame for which the evaporation process never stops and another one leading to a complete disappearance of the black hole. This can be seen as a consequence of the fact that thermodynamic variables are not conformally invariant. In the second case the evaporation always produces the same static and regular end-point geometry, irrespective of the initial state.