Dynamical wormholes in Lovelock gravity

Abstract

In this study we present evolving wormhole configurations in third-order Lovelock gravity and investigate the possibility that these solutions satisfy the energy conditions. Using a generalized Friedmann-Robertson-Walker spacetime, we derive evolving wormhole geometries by considering a constraint on the Ricci scalar. In standard cosmological models, the Ricci scalar is independent of the radial coordinate r and is only a function of time. We use this property to introduce dynamic wormhole solutions expanding in an inflationary cosmological background and explore the effects of higher-order Lovelock terms on the dynamics of such wormholes. Our analysis shows that for suitable third-order Lovelock coefficients, there are wormhole solutions that respect the weak energy condition (WEC). In addition to this, we also present other wormhole solutions that satisfy the WEC throughout their respective evolution.