Wormholes in Two Dimensional Dilaton Gravity

TL;DR

This paper demonstrates that two-dimensional dilaton gravity admits Lorentzian wormhole solutions and explores their stability and transition to black holes under matter perturbations.

Contribution

It reveals the existence of classical wormhole solutions in 2D dilaton gravity and analyzes their stability and evolution into black holes.

Findings

Wormholes are solutions in 2D dilaton gravity.

Shock waves can turn wormholes into black holes.

Classical wormholes are stable against quantum effects.

Abstract

It is shown that the general solution of classical equations of motion in two dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger (CGHS) includes a Lorentzian wormhole solution in addition to a black hole solution. We also show that matter perturbation of the wormhole by a shock wave leads to the formation of a black hole where the curvature singularity is cloaked by the global event horizon. It is also argued that the classical wormhole would be stable against quantum corrections.