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.

arXiv comment19 pages, 3 figures. Minor corrections related to citation

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• On the thermodynamic stability of rotating black holes in higher dimensions -- a comparison of thermodynamic ensembles
• Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime
• On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold