Hawking Radiation in the Dilaton Gravity with a Non-Minimally Coupled Scalar Field

TL;DR

This paper investigates how a non-minimally coupled scalar field affects Hawking radiation in two-dimensional dilaton gravity, revealing an additional mass-dependent term in the radiation spectrum.

Contribution

It introduces a new coupling mechanism between scalar fields and gravity, generalizing the conformal anomaly and explicitly calculating its impact on Hawking radiation.

Findings

Hawking radiation spectrum gains an additional mass-dependent term.

The coupling modifies the conformal anomaly in a novel way.

Explicit calculation shows the effect of the non-minimal coupling on black hole radiation.

Abstract

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter where the coupling with the gravity is given, besides the minimal one, through an external field. This coupling generalizes the conformal anomaly in the same way as those found in recent literature, but with a diferent motivation. The modification to the Hawking radiation is calculated explicity and shows an additional term that introduces a dependence on the (effective) mass of the black-hole.