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.

On the Christodoulou-Ruffini mass formula

A New Family of Spinning Mass Solutions

Dyon black hole and thermodynamics in the Tomimatsu-Sato-Yamazaki space-time

It is shown that there is an upper bound to the energy of the gravitational radiation emitted when one collapsed object captures another. In the case of two objects with equal masses $m$ and zero intrinsic angular momenta, this upper bound is $(2\ensuremath{-}\sqrt{2})m$.

On the Christodoulou-Ruffini mass formula

Citations

A New Family of Spinning Mass Solutions

Dyon black hole and thermodynamics in the Tomimatsu-Sato-Yamazaki space-time

References

Gravitational radiation from colliding black holes

On the Kerr and the Tomimatsu-Sato Spinning Mass Solutions

Related Papers (5)

Black holes without mass and entropy in Lovelock gravity

On the quantum width of a black hole horizon

Distorted five-dimensional vacuum black hole

Spectrum of charged black holes—the big fix mechanism revisited

Mass and Free Energy of Lovelock Black Holes