Stability of thin-shell wormholes supported by ordinary matter in Einstein-Maxwell-Gauss-Bonnet gravity

TL;DR

This paper investigates the stability of 5-dimensional Einstein-Maxwell-Gauss-Bonnet thin-shell wormholes supported by ordinary matter, finding stability only for negative Gauss-Bonnet parameters within narrow conditions.

Contribution

It analyzes the stability of thin-shell wormholes in EMGB gravity with a focus on the effects of the Gauss-Bonnet parameter, revealing stability conditions for negative values.

Findings

Stable wormholes exist only for negative Gauss-Bonnet parameter within narrow parameter ranges.

No stable, normal matter thin-shell wormholes are found for positive Gauss-Bonnet parameter.

Stability depends critically on fine-tuned mass and charge conditions.

Abstract

Recently in (Phys. Rev. D 76, 087502 (2007) and Phys. Rev. D 77, 089903(E) (2008)) a thin-shell wormhole has been introduced in 5-dimensional Einstein-Maxwell-Gauss-Bonnet (EMGB) gravity which was supported by normal matter. We wish to consider this solution and investigate its stability. Our analysis shows that for the Gauss-Bonnet (GB) parameter $\alpha <0,$ stability regions form for a narrow band of finely-tuned mass and charge. For the case $\alpha >0$, we iterate once more that no stable, normal matter thin-shell wormhole exists.