Coherent Quantum Hairy Black Holes from Gravitational Decoupling
Black holes provide a unique arena for testing gravity in the strong-field regime. Although gravitational-wave observations and black hole imaging have established their astrophysical existence, fundamental issues such as spacetime singularities and the classical no-hair conjecture remain unresolved. In this work, we investigate the quantum properties of a hairy black hole obtained through the gravitational decoupling (GD) method, a systematic framework for generating new solutions of Einstein’s field equations by decoupling gravitational sources. We apply the coherent-state approach to quantum black holes to analyze quantum corrections to the GD geometry, implementing a graviton condensate. We examine how these corrections modify the spacetime structure, with particular emphasis on the regularization of the central singularity, the horizon structure, and the effective matter distribution. Our results provide insight into the interplay between GD and quantum effects, offering a consistent framework for exploring regular hairy black holes beyond the classical regime.