Exotic Lovelock black holes and extended quasitopological electromagnetism

Abstract The generalization of Birkhoff’s theorem for higher dimensions in Lovelock gravity permits us to investigate the black hole solutions with horizon geometries of nonconstant curvature. We present a new class of exotic dyonic black holes in the context of Lovelock gravity and generalized quasitopological electromagnetism. First, we derive the polynomial equation that describes exotic dyonic black holes in Lovelock gravity with an arbitrary order. Next, the solutions that characterize dyonic exotic black holes of the Gauss–Bonnet and third order Lovelock gravities are worked out. Then we compute the basic thermodynamic quantities for these exotic dyonic black holes. It is also verified that these quantities satisfy the generalized first law and Smarr’s relation. Furthermore, the impact of generalized quasitopological electromagnetism and topological parameters on the local stability of the resulting objects are also investigated.