Thermodynamics and geodesic structure of a non-singular hairy Frolov black hole

Abstract

Gravitational decoupling is a powerful method for deriving new solutions to Einstein’s field equations with physically relevant matter distributions. By using the extended gravitational decoupling approach, a hairy black hole was obtained by introducing matter around a regular Schwarzschild metric. In this work, we present a novel nonsingular exact solution by applying gravitational decoupling to Frolov regular black holes as seed spacetimes. This provides a significant step toward realistic, singularity-free black hole models. We investigated the thermodynamic properties of hairy Frolov black hole. We also analyzed the geodesics structure using the effective potential approach to analyze the trajectories of massless and massive test particles. Our findings demonstrate that applying gravitational decoupling to Frolov regular black holes leads to profound modifications in the physical and geometric properties of the BH spacetime.