Repulsons in the 5D Myers-Perry Family

TL;DR

This paper identifies a class of curvature-regular, asymptotically flat solitons with negative mass within the 5D Myers-Perry family, featuring conical singularities and naked CTCs, and explores conditions for their regularization.

Contribution

It reveals the existence of negative mass solitons with conical singularities in the 5D Myers-Perry family and demonstrates how to regularize these singularities for specific angular momentum values.

Findings

Existence of negative mass solitons with conical singularities

Regularization of singularities at discrete angular momentum values

Spacetime is simply connected and asymptotically flat despite singularities

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.