Repulsons in the Myers-Perry Family

TL;DR

This paper demonstrates that certain negative-mass, horizonless solitons with conical singularities and closed timelike curves are part of the Myers-Perry family in odd dimensions, revealing new geometric and topological features.

Contribution

It identifies curvature-regular negative-mass solitons within the Myers-Perry family, characterizes their singularities and CTCs, and discusses conditions for their regularization.

Findings

Negative-mass solitons are contained in Myers-Perry solutions.

Some singularities can be regularized at discrete angular momenta.

Spacetimes exhibit lens space infinity and persistent CTCs.

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.