Repulsons in the 5D Myers-Perry Family

Abstract

In this talk, we point out that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family in five dimensions. These solitons do not have horizon, but instead a conical NUT singularity of quasi-regular nature surrounded by naked CTCs. We show that this quasi-regular singularity can be made regular for a set of discrete values of angular momentum by introducing some periodic identifications, at least in the case in which two angular momentum parameters are equal. Although the spatial infinity of the solitons is diffeomorphic to S^1xS^3/R_n (n>2), the corresponding spacetime is simply connected and asymptotically flat.