Charged particle geodesics and closed timelike curves in an electromagnetic universe

TL;DR

This paper investigates the spinning electromagnetic universe modeled by the Rotating Bertotti-Robinson spacetime, exploring the existence of closed timelike curves near charged, spinning black holes and their implications for cosmology.

Contribution

It demonstrates the presence of localized closed timelike curves in a singularity-free spinning cosmological model derived from near horizon black hole geometries.

Findings

Closed timelike curves occur near charged, spinning black holes.

Such curves are localized, not spanning the entire universe.

The model suggests potential homochiral structures in cosmology.

Abstract

The spinning electromagnetic universe, known also as the Rotating Bertotti-Robinson(RBR) spacetime is considered as a model to represent our cosmos. The model derives from different physical considerations, such as colliding waves, throat region, and near horizon geometry of the Kerr-Newman black hole. Our interest is whether such a singularity-free spinning cosmology gives rise to a natural direction of flow, a 'chirality' for charged particles. Homochiral structures are known to be crucial for biology to start. Our concern here is cosmology rather than biology, but as in biology, the stable structures in cosmology may also rely on homochiral elements. We show the occurrence of closed timelike curves a 'la' G{\"o}del. Such curves, however, seem possible only at localized cell structures, not at large scales, but according to our prescription of near horizon geometry, they arise in the vicinity of any charged, spinning black hole.