Trace anomaly and Hawking effect in generic 2D dilaton gravity theories

TL;DR

This paper explores black hole solutions in generic 2D dilaton gravity, linking conformal anomalies to Hawking radiation, and provides a formula connecting Hawking effect magnitude to the dilaton potential at the horizon.

Contribution

It introduces a broad criterion for black hole existence and derives a simple formula relating Hawking radiation to the dilaton potential in 2D models.

Findings

Established a criterion for black hole solutions in 2D dilaton gravity.

Extended the conformal anomaly-Hawking radiation relationship to various models.

Derived a formula connecting Hawking effect magnitude to the dilaton potential at the horizon.

Abstract

Black hole solutions in the context of a generic matter-coupled two-dimensional dilaton gravity theory are discussed both at the classical and semiclassical level. Starting from general assumptions, a criterion for the existence of black holes is given. The relationship between conformal anomaly and Hawking radiation is extended to a broad class of two-dimensional dilaton gravity models. A general and simple formula relating the magnitude of the Hawking effect to the dilaton potential evaluated on the horizon is derived.