A numerical method of studying the evolution of spherically symmetric superdense celestial bodies

For fully relativistic strong gravitational fields we obtain a consistent set of hydrodynamic and field equations that describe the propagation of all types of waves in matter (from small perturbations to shock waves). We obtain an algorithm for numerical solution of these equations for certain equations of state of degenerate matter.Translated fromAstrofizika, Vol. 37, No. 4, 1994.We are very grateful to Prof. Chubarian for valuable instructions and discussions. The work of A. Sadoyan was sponsored in part by ISF grant RYG000.