On the Stability of Most General Exact Solution for Isentropic Superdense Stars

Abstract

Most general exact solutions of Einstein’s field equation for isentropic fluid spheres have been investigated. Spherically symmetric model based on most general exact solution by Gupta and Jasim, 2000 have been analyzed for the stability performance. The analysis yields a strong indication that the model is stable with respect to infinitesimal radial pulsation. We also find that the adiabatic speed of sound is smaller than unity inside the fluid sphere if and only if the radius of the sphere is larger than 1.46 limes its Schwarzschild radius. Besides that the solution for case K--11 (case study), have been tested for the stability and found that, it is stable for least admissible value of ^.Pn