Harmonic Thin-Shell Wormhole Supported by Metric-Dependent Equation of State

TL;DR

This paper explores a new metric-dependent equation of state supporting a harmonic behavior in a general-relativistic thin-shell wormhole, demonstrating how the wormhole's throat oscillates before stabilizing, with applications to Schwarzschild models.

Contribution

It introduces a novel metric-dependent equation of state for exotic fluids supporting thin-shell wormholes, enabling harmonic oscillations of the throat.

Findings

Throat exhibits harmonic oscillations before damping to equilibrium

Application to Schwarzschild wormhole demonstrates the framework's viability

New equation of state tailored for dynamic wormhole stability

Abstract

Abstract This short paper investigates the harmonic behavior of a general-relativistic thin-shell wormhole supported by a particular type of exotic fluid. The exotic fluid obeys a never-studied-before metric-dependent equation of state. This equation of state is tailored such that the wormhole's throat undergoes a harmonic-like behavior before damping to an equilibrium radius. Eventually, the mirror-symmetric Schwarzschild thin-shell wormhole is studied in this framework as an example.