On Cosmological Magnetic Fields, Extended Navier-Stokes equation, and Newtonian Raychaudhury equation

Abstract

Traditionally it has been argued that due to the electric neutrality of the universe on large scales, the only relevant interaction in cosmology should be gravitation. However, the behavior of electromagnetic fields on astrophysical and cosmological scales is still far from clear, the most evident example being the unknown origin of magnetic fields observed in galaxies and galaxy clusters. Therefore, in the present paper I will explore how cosmological magnetic fields can play some roles in the form of extended electromagnetism, Newtonian version of Raychaudhury equation, and also extended covariant Navier-Stokes equation. Then this may be viewed as a way to generalize Navier-Stokes systems on Cantor Sets.  Further investigation can be recommended.