The effects of conformally invariant Maxwell source on the magnetic wormhole solutions in Gauss–Bonnet gravity

Abstract

In this paper we introduce a new class of nonsingular higher dimensional conformally invariant magnetic solutions that may be interpreted as traversable wormholes, which could be supported by matter not violating the weak energy conditions. The electromagnetic source is chosen in which the expression of the Maxwell field does not depend on the dimension and its value coincides with the Reissner–Nordström solution in four dimensions. We generalize this class of solutions to the case of rotating solutions and show that the rotating wormhole solutions have a net electric charge that is proportional to the magnitude of the rotation parameter, while the static wormhole has no net electric charge. Finally, we use the counterterm method and compute the conserved quantities of these spacetimes.