A Lemaitre-Tolman-Bondi cosmological wormhole

TL;DR

This paper introduces an exact analytical solution for a wormhole connecting two Lemaître-Tolman-Bondi universes, satisfying energy conditions and evolving to comove with the cosmic dust at late times.

Contribution

It provides a novel solution describing a zero-thickness wormhole shell joining two dust universes without radial accretion.

Findings

Shell satisfies energy conditions.

Shell becomes comoving with dust at late times.

No radial accretion occurs on the shell.

Abstract

We present a new analytical solution of the Einstein field equations describing a wormhole shell of zero thickness joining two Lema{\i}tre-Tolman-Bondi universes, with no radial accretion. The material on the shell satisfies the energy conditions and, at late times, the shell becomes comoving with the dust-dominated cosmic substratum.