2003/06/03 by Hector Vargas Rodriguez, Héctor Vargas-Rodríguez, Rodriguez, Hector Vargas
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0306009
Prepared using IOP Latex2epsilon and iopart.cls; 13 pages. Submitted to Class. Quantum Grav
arxiv created 2003/06/03 · openalex publication_date 2003/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new solution to the Einstein-Maxwell field equations is presented describing a cylindrically symmetric homogeneous cosmology. The solution is conformally flat, it possesses seven Killing vectors of which the timelike one is rotating and one of the spacelike, pseudorotating. Our solution also admits a Kerr-Schild form. It is alternatively produced by different electromagnetic sources some of which represent constant null electromagnetic fields, while the others, a circularly polarized plane electromagnetic wave (seemingly, a unique situation in general relativity). The concrete electromagnetic four-potentials are found from the assumption that they are proportional to the Killing covectors. The general solution is obtained for timelike and null geodesics. Finally, we find that this space-time admits closed timelike non-geodesic lines.