English

On the physical interpretation of the delta=2 Tomimatsu-Sato solution

General Relativity and Quantum Cosmology 2012-07-03 v1 High Energy Physics - Theory

Abstract

The physical properties of the Tomimatsu-Sato delta=2 spacetime are analyzed, with emphasis on the issues of the negative mass distribution in this spacetime and the origin of a massless ring singularity which are treated with the aid of an equatorially asymmetric two-body configuration arising within the framework of the analytically extended double-Kerr solution. As a by-product of this analysis it is proved analytically that the Kerr spacetime with negative mass always has a massless naked ring singularity off the symmetry axis accompanied by a region with closed timelike curves, and it is also pointed out that the Boyer-Lindquist coordinates in that case should be introduced in a different manner than in the case of the Kerr solution with positive mass.

Keywords

Cite

@article{arxiv.1110.6564,
  title  = {On the physical interpretation of the delta=2 Tomimatsu-Sato solution},
  author = {V. S. Manko},
  journal= {arXiv preprint arXiv:1110.6564},
  year   = {2012}
}

Comments

13 pages, 6 figures, submitted to Prog. Theor. Phys