Regular Bardeen-like Black Holes in Higher-Dimensional Pure Lovelock Gravity with Nonlinear Yang-Mills Fields

S. Habib Mazharimousavi^*

• Eastern Mediterranean University, Famagusta, Türkiye

We construct spherically symmetric, static, and regular Bardeen-like black hole solutions in the framework of higher-dimensional pure Lovelock gravity coupled to nonlinear Yang-Mills fields. The gauge fields are modeled using a higher-dimensional Wu-Yang ansatz, and the nonlinear Lagrangian is designed to resemble the Bardeen-type black holes in Einstein gravity. The resulting solutions are asymptotically flat and regular at the origin, with curvature invariants remaining finite throughout the spacetime. We show that in dimensions N = 2p + 1, the solutions describe particle-like con-figurations without horizons. However, for N > 2p + 1, depending on the model parameters, the solutions can represent either regular black holes or particle-like spacetimes. We derive analytic con-ditions that determine the horizon structure and classify the spacetime accordingly. Furthermore, we perform a detailed analysis of the thermal stability of the black holes by computing the Hawking temperature and heat capacity. The thermodynamic phase structure reveals regions of stability and the presence of both first-and second-order phase transitions. Our results extend the concept of regular black holes to the setting of pure Lovelock gravity and highlight the rich interplay between nonlinearity, dimensionality, and gauge dynamics.