Newman Tamburino solutions with an aligned Maxwell field

2008/02/08 by Liselotte De Groote, De Groote, Liselotte, N Van den Bergh +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #gr-qc

paper · pdf · doi:10.48550/arxiv.0802.1141

5 pages

arxiv created 2008/02/08 · openalex publication_date 2008/02/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that there exists no aligned Einstein Maxwell generalization of the spherical class of Newman Tamburino solutions. The presence of an aligned Maxwell field automatically leads to the cylindrical class.

Related

• Complete integration of the aligned Newman Tamburino Maxwell solutions
• A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited
• Calculating Symmetries in Newman-Tamburino metrics
• Family of solutions for axisymmetric electrovacuum Einstein-Maxwell field equations
• A novel class of rotating black holes with non-aligned electromagnetic field