Lovelock Thin-Shell Wormholes

TL;DR

This paper constructs and analyzes charged thin-shell wormholes in seven-dimensional Lovelock gravity, demonstrating conditions under which they respect energy conditions and remain stable.

Contribution

It introduces a method to build and analyze Lovelock gravity wormholes, revealing conditions for energy compliance and stability not previously detailed.

Findings

Certain Lovelock coefficients allow energy condition-respecting wormholes.

Increasing charge reduces exotic matter in specific cases.

Stable wormholes exist under particular perturbation conditions.

Abstract

We construct the asymptotically flat charged thin-shell wormholes of Lovelock gravity in seven dimensions by cut-and-paste technique, and apply the generalized junction conditions in order to calculate the energy-momentum tensor of these wormholes on the shell. We find that for negative second order and positive third order Lovelock coefficients, there are thin-shell wormholes that respect the weak energy condition. In this case, the amount of normal matter decreases as the third order Lovelock coefficient increases. For positive second and third order Lovelock coefficients, the weak energy condition is violated and the amount of exotic matter decreases as the charge increases. Finally, we perform a linear stability analysis against a symmetry preserving perturbation, and find that the wormholes are stable provided the derivative of surface pressure density with respect to surface energy density is negative and the throat radius is chosen suitable.