Rotating hairy black holes and thermodynamics from gravitational decoupling

Understand

We study the method of extended gravitational decoupling in obtaining static black hole solutions satisfying Einstein's equations with a tensor vacuum.

• The source has quite generic characteristics and satisfies the strong energy condition.
• The stationary, axisymmetric counterpart of the static metric is obtained by applying the Newman-Janis and Azreg-A\"{i}nou algorithms.
• The thermodynamics of the rotating solution is studied and the expressions of various thermodynamic quantities are derived.