Evaporation of fourdimensional dynamical black holes sourced by the quantum trace anomaly
Abstract
In this paper we study the evaporation of a fourdimensional spherically symmetric black hole formed during a gravitational collapse, analyzing the backreaction of a massless conformally coupled quantum scalar field by means of the semiclassical Einstein equation. We link the evaporation and the corresponding black hole mass loss to an ingoing negative energy flux at the dynamical horizon and we show how the quantum matter trace anomaly sources that flux once a suitable averaged energy condition is assumed outside the black hole horizon. This condition is satisfied by the background matter in most realistic classical models of spherically symmetric stellar collapse. Finally, as an example, we evaluate explicitly the negative ingoing flux and the corresponding rate of evaporation in case of a null radiating star described by the Vaidya spacetime.
 Publication:

arXiv eprints
 Pub Date:
 March 2021
 arXiv:
 arXiv:2103.02057
 Bibcode:
 2021arXiv210302057M
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 19 pages, 1 figure