A Vaidya-type generalization of Kerr spacetime

A new Vaidya-type generalization of Kerr spacetime is constructed by requiring the Kerr mass and angular momentum per unit mass to depend upon a variable which has a simple geometrical origin. The matter distribution introduced in this way radiates mass and angular momentum at future null infinity. The Vaidya generalization of the Schwarzschild spacetime is a special case of the newly found solution.