Space-Time Compactification Induced By Lightlike Branes

TL;DR

This paper develops a self-consistent description of lightlike p-branes, explores their role as wormhole throats, and constructs a novel asymmetric wormhole connecting different spacetime geometries.

Contribution

It introduces a new class of lightlike p-branes, formulates their dynamics with gravity and electromagnetism, and provides an explicit asymmetric wormhole solution involving compactified dimensions.

Findings

Lightlike branes can act as natural wormhole throats.

Constructed an explicit asymmetric wormhole solution.

Demonstrated the connection between different spacetime geometries.

Abstract

The aim of the present paper is two-fold. First we describe the Lagrangian dynamics of a recently proposed new class of lightlike p-branes and their interactions with bulk space-time gravity and electromagnetism in a self-consistent manner. Next, we discuss the role of lightlike branes as natural candidates for wormhole "throats" and exemplify the latter by presenting an explicit construction of a new type of asymmetric wormhole solution where the lightlike brane connects a "right" universe with Reissner-Nordstroem geometry to a "left" Bertotti-Robinson universe with two compactified space dimensions.