Proto-neutron star stability under rotational space-time component

In this paper, we investigate some basic properties of proto-neutron star (NS) stability and its formation based on the Raychaudhuri equation and consequence of geodesic congruence of rotating space-time structure surrounding an ideal isotropic fluid under the consideration of gravitational collapse. We also consider the formation of a newly born NS under the effect of Raychaudhuri equation coupled with the Tolman-Oppenheimer-Volkoff (TOV) equation in a dragged frame for comoving coordinates. The stability criteria of a newly born NS is also explored under such conditions. In the view of our proposal, we eventually deduce that along with TOV equation, Raychaudhuri equation may provide a structural stability of surrounding space-time from further collapse to singularity for a newly born NS.