Hawking’s radiation of sine–Gordon black holes in two dimensions

Abstract

In the framework of the integrable model of the sine–Gordon equation, we describe a recent method to recover the Hawking temperature from the sine–Gordon black hole (sGBH). We present the SGBH metric, its event horizon and give the Hawking temperature of sine–Gordon black hole. We use the complex path analysis method to examine the Hawking radiation and give the possibility of estimating the evaporation time of the SGBH.

Bubble evolution around heterogeneities in ϕ4-field theories

“…This scenario corresponds to the nucleation of true-vacuum bubbles around the JHEP02(2021)198 black hole. For instance, exploding or evaporating black holes would be surrounded by phase-transition bubbles [8,16]. This phenomenon is reminiscent to the intuitive picture of the first-order phase transition occurring in boiling water, where bubbles of the new phase are nucleated -often around impurities -, and eventually expands.…”

Bubble nucleation around heterogeneities in $ϕ^4$-field theories

“…For instance, exploding or evaporating black holes would be surrounded by phase-transition bubbles [47,54]. This phenomenon is reminiscent to the intuitive picture of the first-order phase transition occurring in boiling water, where bubbles of the new phase are nucleated -often around impurities-, and eventually expands.…”