Wormhole phase in the RST model

TL;DR

This paper demonstrates that the exactly solvable RST model can support a dynamical wormhole solution, where quantum effects produce the necessary exotic matter, leading to a transition from a wormhole to a black hole with Hawking radiation.

Contribution

It introduces a dynamical wormhole solution in the RST model, showing quantum matter can generate exotic matter and cause evolution into a black hole.

Findings

Quantum effects produce negative energy density exotic matter.

The wormhole evolves into a black hole with Hawking radiation.

The static wormhole's throat is bounded but collapses with infalling matter.

Abstract

We show that the RST model describing the exactly soluble black hole model can have a dynamical wormhole solution along with an appropriate boundary condition. The necessary exotic matter which is usually negative energy density is remarkably produced by the quantization of the infalling matter fields. Then the asymptotic geometry in the past is two-dimensional anti-de Sitter(AdS$_2$), which implies the exotic matter is negative. As time goes on, the wormhole eventually evolves into the black hole and its Hawking radiation appears. The throat of the static RST wormhole is lower-bounded but in the presence of infalling matter it collapses to a black hole.