Nuts have no hair

Details Nuts have no hair Nuts have no hair

1995-08-18

arxiv.org/abs/gr-qc/9508042v1

Class.Quant.Grav.12:L125-L130,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Latex file, no figures

Scientific paper

10.1088/0264-9381/12/12/004

We show that the Riemannian Kerr solutions are the only Riemannian, Ricci-flat and asymptotically flat ${\rm C}^{2}$-metrics $g_{\mu\nu}$ on a 4-dimensional complete manifold ${\cal M}$ of topology ${\rm R}^{2} \times {\rm S}^{2}$ which have (at least) a 1-parameter group of periodic isometries with only isolated fixed points ("nuts") and with orbits of bounded length at infinity.

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