Definition of electric and magnetic fields in curved spacetime

DOI10.1016/J.AOP.2023.169332zbMath1523.83012arXiv2303.07562MaRDI QIDQ6097723

Hyerim Noh, Jai-chang Hwang

Publication date: 7 June 2023

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

Full work available at URL: https://arxiv.org/abs/2303.07562

zbMATH Keywords

Maxwell equationsgeneral relativitygravitational wavesgauge transformationcovariant formulationframe four vector

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Gravitational energy and conservation laws; groups of motions (83C40) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Electro- and magnetostatics (78A30) Maxwell equations (35Q61)

Cites Work

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• \(3+1\) formalism in general relativity. Bases of numerical relativity.
• Comment on ‘‘General covariance, Lorentz covariance, the Lorentz force, and Maxwell equations,’’ by H. W. Crater [Am. J. Phys. 62 (10), 923–931 (1994)]
• Numerical Relativity: Starting from Scratch
• Fermi-normal, optical, and wave-synchronous coordinates for spacetime with a plane gravitational wave
• Relativistic Numerical Hydrodynamics
• Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry

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