Parameter space study of magnetohydrodynamic flows around magnetized compact objects

TL;DR

This paper systematically explores the different flow configurations and shock formation possibilities in magnetohydrodynamic accretion onto neutron stars and black holes, providing a comprehensive parameter space analysis.

Contribution

It presents a complete classification of MHD flow topologies around compact objects and investigates conditions for shock wave formation, advancing understanding of accretion physics.

Findings

Identified all possible MHD flow topologies for adiabatic accretion.

Mapped the parameter space of energy and angular momentum affecting flow types.

Analyzed conditions under which MHD shock waves can form.

Abstract

We solve the magnetohydrodynamic (MHD) equations governing axisymmetric flows around neutron stars and black holes and found all possible solution topologies for adiabatic accretion. We divide the parameter space spanned by the conserved energy and angular momentum of the flow in terms of the flow topologies. We also study the possibility of the formation of the MHD shock waves.