Spherically Symmetric and Rotating Wormholes Produced by Lightlike Branes

TL;DR

This paper demonstrates that lightlike branes with variable tension can serve as the matter sources for constructing traversable wormholes, including rotating and Schwarzschild geometries, providing a new perspective on wormhole physics.

Contribution

It introduces the use of lightlike branes with dynamical tension as sources for traversable wormholes, including rotating solutions, and connects them to the Einstein-Rosen bridge concept.

Findings

Lightlike branes can generate self-consistent wormhole solutions.

Dynamical tension of LL-branes can be negative and arbitrarily small.

Constructed a traversable Schwarzschild wormhole with LL-brane at the throat.

Abstract

Lightlike p-branes (LL-branes) with dynamical (variable) tension allow simple and elegant Polyakov-type and dual to it Nambu-Goto-like world-volume action formulations. Here we first briefly describe the dynamics of LL-branes as test objects in various physically interesting gravitational backgrounds of black hole type, including rotating ones. Next we show that LL-branes are the appropriate gravitational sources that provide proper matter energy momentum tensors in the Einstein equations of motion needed to generate traversable wormhole solutions, in particular, self-consistent cylindrical rotating wormholes, with the LL-branes occupying their throats. Here a major role is being played by the dynamical LL-brane tension which turns out to be negative but may be of arbitrary small magnitude. As a particular solution we obtain traversable wormhole with Schwarzschild geometry generated by a LL-brane positioned at the wormhole throat, which represents the correct consistent realization of the original Einstein-Rosen "bridge" manifold.