Covariant form of the ideal magnetohydrodynamic "connection theorem" in a relativistic plasma

TL;DR

This paper rederives and reinterprets the ideal MHD connection theorem in a covariant form suitable for relativistic plasmas, addressing the issue of simultaneity loss across reference frames.

Contribution

It introduces a covariant formulation of the ideal MHD connection theorem using a 'time resetting' projection to handle relativistic effects.

Findings

Covariant form of the MHD connection theorem derived.

Reinterpretation using a 'time resetting' projection.

Addresses loss of simultaneity in relativistic frames.

Abstract

The magnetic connection theorem of ideal Magnetohydrodynamics by Newcomb [Newcomb W.A., Ann. Phys., 3, 347 (1958)] and its covariant formulation are rederived and reinterpreted in terms of a "time resetting" projection that accounts for the loss of simultaneity in different reference frames between spatially separated events.