2014/10/31 by Antonio C. Gutiérrez-Piñeres · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Einstein field equations #Einstein tensor #Exact solutions in general relativity #General relativity #Generalization #Geometry #Geophysics and Gravity Measurements #Gravitational singularity #Laplace transform #Linearized gravity #Mathematical analysis #Mathematical physics #Metric (unit) #Physics #Quantum mechanics #Riemann curvature tensor #Solar and Space Plasma Dynamics #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1007/s10714-015-1898-0
published as General Relativity and Gravitation, April 2015, 47:54
openalex publication_date 2015/04/07 · arxiv created 2015/04/14 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An exact solution of the Einstein-Maxwell field equations for a conformastationary metric with magnetized disk-haloes sources is worked out in full. The characterization of the nature of the energy momentum tensor of the source is discussed. All the expressions are presented in terms of a solution of the Laplace's equation. A "generalization" of the Kuzmin solution of the Laplace's equations is used as a particular example. The solution obtained is asymptotically flat in general and turns out to be free of singularities. All the relevant quantities show a reasonable physical behaviour.