Relativistic formulation of noncentral curl force and relativistic Emden–Fowler type equations

In this paper, we formulate a relativistic generalization of noncentral force, and it is a prototypical example of relativistic curl force. We study reductions of relativistic noncentral forces using two new variables, angular momentum and integral torque, which lead to relativistic generalization of the Emden–Fowler equation. We also formulate the relativistic generalization of Lane–Emden and Thomas–Fermi equations using fractional angular momentum and torque.