Magnetic Connections in Curved Spacetime

Abstract

The ideal MHD 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.

References in corpus (7)

• General Theory of the Plasmoid Instability
• Relativistic magnetohydrodynamics in dynamical spacetimes: A new AMR implementation
• Generalized Magnetofluid Connections in Relativistic Magnetohydrodynamics
• Relativistic Magnetic Reconnection in Kerr Spacetime
• Magnetofluid Dynamics in curved spacetime
• Novel mechanism for vorticity generation in black-hole accretion disks
• Perfect magnetohydrodynamics as a field theory

Cited by in corpus (2)

• Gravitational electromotive force in magnetic reconnection around Schwarzschild black holes
• Diamagnetic field states in cosmological plasmas