Repulsons in the Myers-Perry Family

摘要

In this paper, we show that curvature-regular asymptotically flat solitonswith negative mass are contained in the Myers-Perry family of odd spacetimedimensions. These solitons do not have a horizon, but instead a conicalsingularity of quasi-regular nature surrounded by naked CTCs. Thisquasi-regular singularity can be made regular for a set of discrete values ofangular momentum, at least for the Myers-Perry solutions with UG(N) symmetry.Although the time coordinate is required to have a periodicity at infinity andthe spatial infinity becomes a lens space S^{D-2}/Z_n, the correspondingspacetime is simply connected, and the CTCs cannot be eliminated by taking acovering spacetime.