Minimal Wormholes in an (n + 1)-Dimensional Cosmological Background

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

In this article, we discuss a class of expanding traversable wormholes in an (n+1)-dimensional Robertson-Walker (RW) background with Ricci scalar independent of the r-coordinate. With this condition, we obtain a wormhole metric which in general depends on the curvature constant k. For the flat (k = 0) case, we obtain the scale factor R(t) by using the Friedmann equations in the large r limit and use this to obtain the diagonal energy-momentum tensor. Applying the weak energy condition (WEC) we obtain a critical radius and a critical time that are limits of the violation of WEC. Although it is proved that the throat is a null hypersurface but it is shown that wormhole has no horizon and is traversable from both sides of this hypersurface.

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