Space-Time Compactification/Decompactification Transitions Via Lightlike Branes

TL;DR

This paper presents an exact solution in a gravity-matter system with lightlike branes that models a wormhole connecting different space-time regions, demonstrating dynamic space-time compactification and decompactification transitions.

Contribution

It introduces a new explicit solution involving lightlike branes causing space-time transitions, expanding understanding of wormhole structures and dynamic compactification in gravity theories.

Findings

Explicit 'two-throat' wormhole solution with compactified and non-compact regions

Lightlike branes induce spontaneous space-time compactification/decompactification

Demonstrates dynamic transitions between different space-time geometries

Abstract

We consider Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting self-consistently with two (widely separated) codimension-one electrically charged lightlike branes. The lightlike brane dynamics is explicitly given by manifestly reparametrization invariant world-volume actions in two equivalent dual to each other formulations (Polyakov-type and Nambu-Goto-type ones) proposed in our previous work. We find an explicit solution of the pertinent Einstein-Maxwell-Kalb-Ramond-lightlike-brane equations of motion describing a "two-throat" wormhole-like space-time consisting of a "left" compactified Bertotti-Robinson universe connected to a "middle" non-compact Reissner-Nordstroem-de-Sitter space-time region, which in turn is connected to another "right" compactified Bertotti-Robinson universe. Each of the lightlike branes automatically occupies one of the "throats", so that they dynamically induce a sequence of spontaneous space-time compactification/decompactification transitions.