Nonlinear Einstein-Power-Yang-Mills AdS Black Holes: From Quantum Tunneling to Aschenbach Effect

Abstract: This study investigates the thermodynamic and quantum properties of Einstein-Power-Yang-Mills (EPYM) black holes in an Anti-de Sitter background, focusing on the effects of the nonlinear Yang-Mills charge parameter $\gamma$. We derive the metric function, analyze Hawking radiation through boson tunneling, and calculate thermodynamic properties including temperature and phase transitions. The quantum tunneling of $W^+$ bosons is examined using the WKB approximation and Hamilton-Jacobi formalism, revealing how nonlinearity modifies the radiation spectrum. We compute the effective potential governing photon orbits and null geodesics, demonstrating significant alterations in light behavior in strong gravitational fields. Additionally, we explore the Aschenbach effect, showing that this phenomenon, which is typically associated with rotating black holes, can emerge in spherically symmetric EPYM spacetimes because of non-linear field interactions. Our results may yield observational markers that can be identified with instruments such as the Event Horizon Telescope and upcoming gravitational wave detectors.