Novel self-similar rotating solutions of non-ideal transverse magnetohydrodynamics

Understand

The evolution of electromagnetic and thermodynamic fields in a non-ideal fluid are studied in the framework of ultrarelativistic transverse magnetohydrodynamics (MHD), which is essentially characterized by electric and magnetic fields being transverse to the fluid velocity.

• Extending the method of self-similar solutions of relativistic hydrodynamics to the case of non-conserved charges, the differential equations of non-ideal transverse MHD are solved, and two novel sets of self-similar solutions are derived.
• The first set turns out to be a boost-invariant and exact solution, which is characterized by non-rotating electric and magnetic fields.
• The second set is a non-boost-invariant solution, which is characterized by rotating electric and magnetic fields.