Three-dimensional formulation of the Maxwell equations for stationary space–times

DOI10.1063/1.532733zbMath0957.83016OpenAlexW1556571861MaRDI QIDQ4701894

J. Mercado-Pérez, Gerardo F. Torres del Castillo

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532733

zbMATH Keywords

Maxwell equationsequations of motionstationary space-timemetric decomposition

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Equations of motion in general relativity and gravitational theory (83C10) Einstein-Maxwell equations (83C22)

Related Items (4)

Optical geometry analysis of the electromagnetic self-force ⋮ Geometrical optics in stationary space-times ⋮ Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect ⋮ Generation of solutions of the Einstein equations by means of the Kaluza--Klein formulation

Cites Work

• Optical reference geometry for stationary and static dynamics
• Electromagnetic modes in Schwarzschild geometry in an annular region
• On Fermat's principle in general relativity. II. The conformally stationary case
• Maxwell equations and the optical geometry
• Stationary rotating matter in general relativity
• Gravitational and electromagnetic perturbations of the Schwarzschild solution

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