A New Family of Spinning Mass Solutions

Abstract

A new family of stationary axisymmetric, asymptotically flat exact solutions to the Einstein vacuum gravitational fields is reported in a closed form. The family of solutions has four parameters, positive number distorsion parameter δ labeling the member of family, rotation parameter µ, reflection parameter λ, and mass parameter m . When δ=1, the present solution reduces to the Kerr solution. Except the δ=1 solution the present family of solutions contains no event horizon and , when λ≠0, is asymmetric with respect to the reflection at the equatorial plane. Some regularities of solutions are pointed out.