Lorentzian wormholes supported by tachyon matter

TL;DR

This paper explores alternative wormhole geometries supported by tachyon matter, demonstrating that a cosmological constant is not necessary for their physical plausibility, unlike in Ellis wormholes, and highlighting tachyon matter's potential role in dark sector explanations.

Contribution

It introduces new wormhole solutions with different geometries supported by tachyon matter, showing these do not require a cosmological constant for physical plausibility.

Findings

Alternative geometries are supported by tachyon matter without a cosmological constant.

Tachyon matter can produce physically plausible traversable wormholes.

Ellis wormholes uniquely require a cosmological constant, unlike the new geometries.

Abstract

Wormholes with Ellis geometry have been successfully constructed using tachyon matter \cite{Das}. However, for such a wormhole, it is obtained that the redshift function is necessarily a constant, and also the wormhole is plagued with an imaginary tachyon potential and a constant field if the solutions are obtained in the absence of a cosmological constant term. So, a physically plausible wormhole solution is possible only in the presence of a $\Lambda$ term. In this paper, we try to construct a wormhole from tachyon matter with three $other$ geometries \textit{different} from the Ellis geometry and see whether it is possible to construct them successfully, besides checking whether the restrictions of the Ellis wormhole can be overcome with these geometries. Among others, we obtain one very interesting result that for all three of these geometries \textit{different} from the Ellis, the $\Lambda$ term is no longer an essential ingredient in constructing physically plausible traversable wormholes and the tachyon matter, capable of providing explanations for the "\textbf{dark sector}" of the universe,is itself sufficient for this purpose.