We present two new classes of magnetic brane solutions in Einstein-MaxwellGauss-Bonnet gravity with a negative cosmological constant. The first class of solutions yields an (n + 1)-dimensional spacetime with a longitudinal magnetic field generated by a static magnetic brane. We also generalize this solution to the case of spinning magnetic branes with one or more rotation parameters. We find th...

The Hawking–Page (HP) phase transitions of the anti-de Sitter black holes in extended space are studied a novel four-dimensional Einstein–Gauss–Bonnet (4EGB) gravity, which is proposed by rescaling Gauss–Bonnet (GB) coupling constant α→α∕(d−4) d dimensions and redefining gravity limit d→4. GB term shows nontrivial contributions to both hole mass entropy simultaneously, decreases HP transition t...