$(n+1)$-Dimensional Lorentzian Wormholes in an Expanding Cosmological Background

TL;DR

This paper explores higher-dimensional dynamical wormholes within an expanding universe, analyzing their geometric properties and the energy conditions needed to support such structures in general relativity.

Contribution

It introduces new solutions for $(n+1)$-dimensional evolving wormholes with expanding throats, using anisotropic energy-momentum tensors and examining energy conditions.

Findings

Solutions approach vacuum far from the wormhole

Energy conditions are analyzed for supporting matter

Throat expansion dynamics are characterized

Abstract

We discuss $(n+1)$-dimensional dynamical wormholes in an evolving cosmological background with a throat expanding with time. These solutions are examined in the general relativity framework. A linear relation between diagonal elements of an anisotropic energy-momentum tensor is used to obtain the solutions. The energy-momentum tensor elements approach the vacuum case when we are far from the central object for one class of solutions. Finally, we discuss the energy-momentum tensor which supports this geometry, taking into account the energy conditions .