Static spherically symmetric collapsar in the relativistic theory of gravitation: numerical approach and stability analysis

Abstract

Numerical investigation of the static spherically symmetric vacuum solution of the Logunov equations confirms the analytical results and demonstrates a strong repulsion at sub-Planckian distance from the Schwarzschild-like singularity, which is stable against the small perturbations. We suppose that the final stage of the stellar collapse in the relativistic theory of gravitation can entail the gravitational bursts with the gravitons overproduction due to the strong deceleration in the vicinity of the Schwarzschild sphere. The rigorous investigation of this topic requires a quantum-field consideration.