Exact soluble two-dimensional charged wormhole

TL;DR

This paper introduces an exactly solvable two-dimensional charged wormhole model incorporating infalling matter and back reaction effects, revealing a transition from AdS spacetime to wormhole geometry.

Contribution

It provides the first exact solution for a charged wormhole in two dimensions with matter back reaction, linking energy infall to geometric transition.

Findings

Exact expression for wormhole throat size based on infalling energy

Demonstration of transition from AdS spacetime to wormhole geometry

Inclusion of back reaction effects in the wormhole model

Abstract

We present an exactly soluble charged wormhole model in two dimensions by adding infalling chiral fermions on the static wormhole. The infalling energy due to the infalling charged matter requires the classical back reaction of the geometry, which is solved by taking into account of the nontrivial nonchiral exotic energy. Finally, we obtain the exact expression for the size of the throat depending on the total amount of the infalling net energy and discuss the interesting transition from the AdS spacetime to the wormhole geometry.