  The concept of magnetic connections is extended to non-ideal relativistic
magnetohydrodynamical plasmas. Adopting a general set of equations for
relativistic magnetohydrodynamics including thermal-inertial, thermal
electromotive, Hall and current-inertia effects, we derive a new covariant
connection equation showing the existence of generalized magnetofluid
connections that are preserved during the dissipationless plasma dynamics.
These connections are intimately linked to a general antisymmetric tensor that
unifies the electromagnetic and fluid fields, allowing the extension of the
magnetic connection notion to a much broader concept.
