Novel third-order Lovelock wormhole solutions

TL;DR

This paper explores wormhole solutions in third-order Lovelock gravity, demonstrating that higher curvature terms can satisfy energy conditions near the throat and throughout the spacetime.

Contribution

It provides exact and numerical wormhole solutions in third-order Lovelock gravity that satisfy energy conditions, a novel result in higher-order gravity theories.

Findings

Exact solutions satisfy weak energy condition near the throat.

Numerical solutions are asymptotically flat and energy condition compliant.

Higher order curvature terms enable physically viable wormholes.

Abstract

In this work, we consider wormhole geometries in third-order Lovelock gravity and investigate the possibility that these solutions satisfy the energy conditions. In this framework, by applying a specific equation of state, we obtain exact wormhole solutions, and by imposing suitable values for the parameters of the theory, we find that these geometries satisfy the weak energy condition in the vicinity of the throat, due to the presence of higher order curvature terms. Finally, we trace out a numerical analysis, by assuming a specific redshift function, and find asymptotically flat solutions that satisfy the weak energy condition throughout the spacetime.