A Star Harbouring a Wormhole at its Core

TL;DR

This paper models a star with a wormhole at its core filled with perfect fluid, analyzing its stability and oscillations, and providing static solutions for such exotic stellar configurations.

Contribution

It introduces a novel model of stars with wormholes at their centers using polytropic fluid equations and studies their stability under radial oscillations.

Findings

Static regular solutions for wormhole-filled stars.

Configurations are stable against linear radial perturbations.

Potential implications for exotic astrophysical objects.

Abstract

We consider a configuration consisting of a wormhole filled by a perfect fluid. Such a model can be applied to describe stars as well as neutron stars with a nontrivial topology. The presence of a tunnel allows for motion of the fluid, including oscillations near the core of the system. Choosing the polytropic equation of state for the perfect fluid, we obtain static regular solutions. Based on these solutions, we consider small radial oscillations of the configuration and show that the solutions are stable with respect to linear perturbations in the external region.