Hawking Radiation and Evaporation of the Black Hole Induced by a Klein-Gordon Soliton

TL;DR

This paper investigates the quantum Hawking radiation and evaporation process of a two-dimensional dilatonic black hole induced by a topological soliton, using exact solutions and trace anomaly methods.

Contribution

It provides an exact solvable model of black hole evaporation induced by a soliton in scalar-dilaton gravity and analyzes back reaction effects.

Findings

Hawking radiation is derived using trace anomaly techniques.

The black hole's energy and evaporation process are quantitatively analyzed.

The role of topological charge conservation in black hole evolution is discussed.

Abstract

A two-dimensional dilatonic black hole induced by a topological soliton is exactly solvable in the scalar field theory coupled to dilaton gravity. The Hawking radiation of the black hole is studied in the one-loop approximation with the help of the trace anomaly of energy-momentum tensors which is a geometrical invariant. The quantum theory can be also soluble in the RST scheme in order to consider the back reaction of the metric. The energy of the black hole system is calculated and the classical thunderpop energy corresponding to the soliton energy is needed to describe the final state of the black hole. Finally we discuss the possibility of conservation of the topological charge.