An Analytic Description of Semi-Classical Black-Hole Geometry

Understand

We study analytically the spacetime geometry of the black-hole formation and evaporation.

• As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum state.
• For definiteness, we will focus on quantum effects of s-waves.
• We obtain an analytic solution of the semi-classical Einstein equation for this model, that provides an overall description of the black hole geometry form the formation to evaporation.