Self-consistent Wormhole Solutions of Semiclassical Gravity

TL;DR

This paper reports the first self-consistent semiclassical gravity solutions for Lorentzian wormholes coupled with quantum scalar fields, revealing large-throat wormholes with Planck-scale ripples influenced by scalar coupling and boundary conditions.

Contribution

It provides the first self-consistent solutions to semiclassical Einstein equations for wormholes with quantum scalar fields, showing large throats and Planck-scale oscillations.

Findings

Wormholes can have arbitrarily large diameters in Planck units.

Solutions exhibit Planck-scale oscillations or ripples.

Throat size depends on scalar coupling and boundary conditions.

Abstract

We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific solution presented here represents a wormhole connecting two asymptotically spatially flat regions. In general, the diameter of the wormhole throat, in units of the Planck length, can be arbitrarily large, depending on the values of the scalar coupling $\xi$ and the boundary values for the shape and redshift functions. In all cases we have considered, there is a fine-structure in the form of Planck-scale oscillations or ripples superimposed on the solutions.