Lorentzian Wormholes in Lovelock Gravity

TL;DR

This paper derives n-dimensional Lorentzian wormhole solutions in third order Lovelock gravity, revealing how Lovelock coefficients influence the wormhole throat size and the matter conditions near the throat.

Contribution

It introduces new wormhole solutions in Lovelock gravity and analyzes how higher-order terms affect the matter properties and throat size.

Findings

The wormhole throat radius has a lower limit depending on Lovelock coefficients.

Normal matter can exist near the throat within a certain region.

Negative coupling constants enlarge the region of normal matter.

Abstract

In this paper, we introduce the $n$-dimensional Lorentzian wormhole solutions of third order Lovelock gravity. In contrast to Einstein gravity and as in the case of Gauss-Bonnet gravity, we find that the wormhole throat radius, $r_0$, has a lower limit that depends on the Lovelock coefficients, the dimensionality of the spacetime and the shape function. We study the conditions of having normal matter near the throat, and find that the matter near the throat can be normal for the region $r_0 \leq r \leq r_{\max}$, where $r_{\max}$ depends on the Lovelock coefficients and the shape function. We also find that the third order Lovelock term with negative coupling constant enlarges the radius of the region of normal matter, and conclude that the higher order Lovelock terms with negative coupling constants enlarge the region of normal matter near the throat.