Model-independent traversable wormholes from baryon acoustic oscillations

TL;DR

This paper derives model-independent traversable wormhole solutions constrained by baryon acoustic oscillation data, analyzing their stability and physical properties within a cosmological context.

Contribution

It introduces a method to construct static, spherically symmetric traversable wormholes using BAO data constraints on dark energy, including stability analysis.

Findings

Wormhole solutions are consistent with BAO data constraints.

Stable configurations can exist with increasing throat radius.

Constructed wormholes involve infinitesimal energy condition violations.

Abstract

In this paper, we investigate the model-independent traversable wormholes from baryon acoustic oscillations. Firstly, we place the statistical constraints on the average dark energy equation of state $\omega_{av}$ by only using BAO data. Subsequently, two specific wormhole solutions are obtained, i.e, the cases of the constant redshift function and a special choice for the shape function. For the first case, we analyze the traversabilities of the wormhole configuration, and for the second case, we find that one can construct theoretically a traversable wormhole with infinitesimal amounts of average null energy condition violating phantom fluid. Furthermore, we perform the stability analysis for the first case, and find that the stable equilibrium configurations may increase for increasing values of the throat radius of the wormhole in the cases of a positive and a negative surface energy density. It is worth noting that the obtained wormhole solutions are static and spherically symmetrical metric, and that we assume $\omega_{av}$ to be a constant between different redshifts when placing constraints, hence, these wormhole solutions can be interpreted as stable and static phantom wormholes configurations at some certain redshift which lies in the range [0.32, 2.34].