Gravitational Fields of the Magnetic-type

TL;DR

This paper explores the properties of gravitoelectric and gravitomagnetic fields around rotating black holes, suggesting their potential observational signatures and implications for cosmology.

Contribution

It provides a visualization of gravitoelectric and gravitomagnetic fields near a slowly rotating black hole and discusses their possible observational and cosmological significance.

Findings

Visualization of gravitoelectric and gravitomagnetic fields around black holes

Potential link between gravitomagnetic fields and ultra-fast outflows in galaxies

Discussion on large-scale gravitomagnetism affecting cosmological models

Abstract

Local conformal symmetry introduces the conformal curvature (Weyl tensor) that gets split into its (gravito-) electric and magnetic (tensor) parts. Newtonian tidal forces are expected from the gravitoelectric field, whereas general-relativistic frame-dragging effects emerge from the gravitomagnetic field. The symmetric, traceless gravitoelectric and gravitomagnetic tensor fields can be visualized by their eigenvectors and eigenvalues. In this essay, we depict the gravitoelectric and gravitomagnetic fields around a slowly rotating black hole. This suggests that the phenomenon of ultra-fast outflows observed at the centers of active galaxies may give evidence for the gravitomagnetic fields of spinning supermassive black holes. We also question whether the current issues in our contemporary observations might be resolved by the inclusion of gravitomagnetism on large scales in a perturbed FLRW model.