Higher-dimensional thin-shell wormholes in third-order Lovelock gravity

TL;DR

This paper investigates higher-dimensional thin-shell wormholes within third-order Lovelock gravity, analyzing their energy conditions, matter content, and stability, revealing conditions under which these wormholes can be physically viable and stable.

Contribution

It introduces new solutions for thin-shell wormholes in third-order Lovelock gravity that satisfy energy conditions and explores their stability in higher dimensions.

Findings

Wormhole solutions respecting weak energy conditions are found for specific Lovelock coefficient signs.

The amount of normal matter varies with the Lovelock coefficients, increasing as the third-order coefficient decreases.

A broad range of stability regions are identified for these wormholes under a cold equation of state.

Abstract

In this work, we explore asymptotically flat charged thin-shell wormholes of third order Lovelock gravity in higher dimensions, taking into account the cut-and-paste technique. Using the generalized junction conditions, we determine the energy-momentum tensor of these solutions on the shell, and explore the issue of the energy conditions and the amount of normal matter that supports these thin-shell wormholes. Our analysis shows that for negative second order and positive third-order Lovelock coefficients, there are thin-shell wormhole solutions that respect the weak energy condition. In this case, the amount of normal matter increases as the third-order Lovelock coefficient decreases. We also find novel solutions which possess specific regions where the energy conditions are satisfied for the case of a positive second order and negative third-order Lovelock coefficients. Finally, a linear stability analysis in higher dimensions around the static solutions is carried out. Considering a specific cold equation of state, we find a wide range of stability regions.