Higher-dimensional thin-shell wormholes in third-order Lovelock gravity

摘要

In this work, we explore asymptotically flat charged thin-shell wormholes ofthird order Lovelock gravity in higher dimensions, taking into account thecut-and-paste technique. Using the generalized junction conditions, wedetermine the energy-momentum tensor of these solutions on the shell, andexplore the issue of the energy conditions and the amount of normal matter thatsupports these thin-shell wormholes. Our analysis shows that for negativesecond order and positive third-order Lovelock coefficients, there arethin-shell wormhole solutions that respect the weak energy condition. In thiscase, the amount of normal matter increases as the third-order Lovelockcoefficient decreases. We also find novel solutions which possess specificregions where the energy conditions are satisfied for the case of a positivesecond order and negative third-order Lovelock coefficients. Finally, a linearstability analysis in higher dimensions around the static solutions is carriedout. Considering a specific cold equation of state, we find a wide range ofstability regions.