Topological black holes in Gauss-Bonnet gravity with conformally invariant Maxwell source

In this Letter, we present a class of rotating solutions in Gauss-Bonnet gravity in the presence of cosmological constant and conformally invariant Maxwell field and study the effects of the nonlinearity of the Maxwell source on the properties of the spacetimes. These solutions may be interpret as black brane solutions with inner and outer event horizons provide that the mass parameter m is greater than an extremal value mext, an extreme black brane if m=mext and a naked singularity otherwise. We investigate the conserved and thermodynamics quantities for asymptotically flat and asymptotically AdS with flat horizon. We also show that the conserved and thermodynamic quantities of these solutions satisfy the first law of thermodynamics.