Solutions to the Einstein-Maxwell-Current System with Sasakian maifolds
General Relativity and Quantum Cosmology
2020-12-07 v1 Differential Geometry
Abstract
We construct stationary solutions to the Einstein-Maxwell-current system by using the Sasakian manifold for the three-dimensional space. Both the magnetic field and the electric current in the solution are specified by the contact form of the Sasakian manifold. The solutions contain an arbitrary function that describes inhomogeneity of the number density of the charged particles, and the function determines the curvature of the space.
Keywords
Cite
@article{arxiv.2012.02432,
title = {Solutions to the Einstein-Maxwell-Current System with Sasakian maifolds},
author = {Hideki Ishihara and Satsuki Matsuno},
journal= {arXiv preprint arXiv:2012.02432},
year = {2020}
}
Comments
16 pages, no figures