2017/10/24 by Felipe A. Asenjo, Luca Comisso · 1 citation
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Classical mechanics #Connection (principal bundle) #Covariant transformation #Foliation (geology) #Geology #Geometry #Ionosphere and magnetosphere dynamics #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mathematical physics #Mathematics #Mathematics of general relativity #Maxwell's equations in curved spacetime #Minkowski space #Numerical relativity #Physics #Plasma #Quantum field theory in curved spacetime #Quantum mechanics #Solar and Space Plasma Dynamics #Spacetime #Spacetime topology #Spherically symmetric spacetime #Stationary spacetime #Theory of relativity #astro-ph.HE #gr-qc #physics.plasm-ph
paper · pdf · doi:10.1103/physrevd.96.123004
published as Phys. Rev. D 96, 123004 (2017)
arxiv created 2017/10/24 · openalex publication_date 2017/12/12 · arxiv updated 2017/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ideal magnetohydrodynamic theorem on the conservation of the magnetic connections between plasma elements is generalized to relativistic plasmas in curved spacetime. The connections between plasma elements, which are established by a covariant connection equation, display a particularly complex structure in curved spacetime. Nevertheless, it is shown that these connections can be interpreted in terms of magnetic field lines alone by adopting a 3+1 foliation of spacetime.