Thin-shell wormholes in de Rham-Gabadadze-Tolley massive gravity

TL;DR

This paper investigates the stability and energy conditions of thin-shell wormholes within dRGT massive gravity, revealing that exotic fluids are generally required for stability and that classical energy conditions are typically violated.

Contribution

It derives junction conditions and analyzes the stability and energy conditions of thin-shell wormholes in dRGT massive gravity, incorporating exotic fluid models.

Findings

Massive graviton correction acts as an effective anisotropic pressure fluid.

Without exotic fluids, thin-shell wormholes cannot be stabilized.

Classical energy conditions are violated with all exotic fluid models.

Abstract

In this work, we study the thin-shell wormholes in dRGT massive gravity. In order to joint two bulks of the spacetime geometry, we first derive junction conditions of the dRGT spacetime. This results the dynamics of the spherical thin-shell wormholes in the dRGT theory. We show that the massive graviton correction term of the dRGT theory in the Einstein equation is represented in terms of the effective anisotropic pressure fluid. However, if there is only this correction term, without invoking exotic fluids, we find that the thin-shell wormholes can not be stabilized. We then examine the stability conditions of the wormholes by introducing four existing models of the exotic fluids at the throat. In addition, we analyze the energy conditions for the thin-shell wormholes in the dRGT massive gravity by checking the null, weak, and strong conditions at the wormhole throat. We show that in general the classical energy conditions are violated by introducing all existing models of the exotic fluids. Moreover, we quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity.