Dressing rotating black holes with anisotropic matter

Abstract: We present a new rotating black hole solution to the Einstein equations as an extension of the Kerr spacetime. To derive this solution, we use the Newman-Janis algorithm and results from the non-complexification procedure. Interestingly, the solution we find may not be uniquely characterized by asymptotic parameters such as mass, angular momentum, and charge, thereby challenging the no-hair theorem. We also analyze in detail how this additional characteristics (``hair") affects the thermodynamic properties of the black hole.