Repulsons in the Myers-Perry Family
Abstract
In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do not have a horizon, but instead a conical singularity of quasi-regular nature surrounded by naked CTCs. This quasi-regular singularity can be made regular for a set of discrete values of angular momentum, at least for the Myers-Perry solutions with UG(N) symmetry. Although the time coordinate is required to have a periodicity at infinity and the spatial infinity becomes a lens space S^{D-2}/Z_n, the corresponding spacetime is simply connected, and the CTCs cannot be eliminated by taking a covering spacetime.
Keywords
Cite
@article{arxiv.0901.1203,
title = {Repulsons in the Myers-Perry Family},
author = {Gary Gibbons and Hideo Kodama},
journal= {arXiv preprint arXiv:0901.1203},
year = {2009}
}
Comments
19 pages, 3 figures. Minor corrections related to citation