Power-Yang-Mills black holes and black branes in quartic quasi-topological gravity

Abstract: We study higher dimensional quartic quasi-topological black holes in the framework of non-abelian power-Yang-Mills theory. It is shown that real solutions of the gravitational field equations exist only for positive values of quartic quasi-topological coefficient. Depending on the values of the mass parameter and Yang-Mills charge, they can be interpreted as black holes with one horizon, two horizons and naked singularity. It is also shown that the solution associated with these black holes has an essential curvature singularity at the centre $r=0$. Thermodynamic and conserved quantities for these black holes are computed and we show that the first law has been verified. We also check thermodynamic stability in both canonical and grand canonical ensembles. In addition to this, we also formulate new power-Yang-Mills black hole solutions in pure quasi-topological gravity. The physical and thermodynamic properties of these black holes are discussed as well. It is concluded that unlike Yang-Mills black holes there exist stability regions for smaller power-Yang-Mills black holes in grand canonical ensemble. Finally, we discuss the thermodynamics of horizon flat power-Yang-Mills rotating black branes and analyze their thermodynamic and conserved quantities by using the counter-term method inspired by AdS/CFT correspondence.