Soliton Induced Singularities in 2 d Gravity and their Evaporation

TL;DR

This paper investigates how Sine-Gordon solitons induce positive energy singularities in 1+1 dimensional dilaton gravity with different cosmological constants, analyzing their structure and evaporation behavior.

Contribution

It introduces a novel analysis of soliton-induced singularities in 2D gravity and explores their evaporation in the one-loop approximation.

Findings

Singularities can form a white hole, a black hole, or two timelike singularities depending on the cosmological constant.

The solutions describe smooth joins near the soliton center, indicating specific spacetime structures.

Evaporation of these singularities is examined within the one-loop quantum correction framework.

Abstract

Positive energy singularities induced by Sine-Gordon solitons in 1+1 dimensional dilaton gravity with positive and negative cosmological constant are considered. When the cosmological constant is positive, the singularities combine a white hole, a timelike singularity and a black hole joined smoothly near the soliton center. When the cosmological constant is negative, the solutions describe two timelike singularities joined smoothly near the soliton center. We describe these spacetimes and examine their evaporation in the one loop approximation.