Five dimensional cosmological traversable wormhole

TL;DR

This paper explores a five-dimensional traversable wormhole within an FLRW cosmological model, demonstrating that the presence of an extra dimension can allow for non-exotic matter and avoid weak energy condition violations.

Contribution

It introduces a model of a five-dimensional traversable wormhole with dynamical compactification, analyzing how the extra dimension influences energy conditions and cosmological properties.

Findings

Total matter can be non-exotic

Weak energy condition violation can be avoided

Extra dimension affects energy density and shape function

Abstract

In this paper, a traversable wormhole in the Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) model with one extra spacelike compact dimension is studied. We have chosen dynamical compactification as the evolution of the fifth dimension. In this respect, we study how the existence of the extra dimension, affect the behavior of the energy density, the shape function and the scale factor. It is shown that the total matter can be non-exotic and the violation of the weak energy condition can be avoided.