Vacuum static compactified wormholes in eight-dimensional Lovelock theory

TL;DR

This paper presents the first smooth vacuum static wormhole solutions in eight-dimensional Lovelock theory with nontrivial torsion, exploring their structure, properties, and potential effects on particle traversability.

Contribution

It introduces novel vacuum static wormhole solutions in eight-dimensional Lovelock gravity that are neither Chern-Simons nor Born-Infeld, highlighting the role of torsion in their properties.

Findings

First smooth vacuum static Lovelock wormhole example

Torsion influences traversability for scalar and spinning particles

Large torsion can enhance wormhole traversability

Abstract

In this paper new exact solutions in eight dimensional Lovelock theory will be presented. These solutions are vacuum static wormhole, black hole and generalized Bertotti-Robinson space-times with nontrivial torsion. All the solutions have a cross product structure of the type $M_{5}\times \Sigma_{3} $ where $M_{5}$ is a five dimensional manifold and $\Sigma_{3}$ a compact constant curvature manifold. The wormhole is the first example of a smooth vacuum static Lovelock wormhole which is neither Chern-Simons nor Born-Infeld. It will be also discussed how the presence of torsion affects the "navigableness" of the wormhole for scalar and spinning particles. It will be shown that the wormhole with torsion may act as "geometrical filter": a very large torsion may "increase the traversability" for scalars while acting as a "polarizator" on spinning particles. This may have interesting phenomenological consequences.