Dynamical stability of charged isentropic superdense star model

Abstract

The objective of this paper is to study the stability of charged isentropic superdense star models. A limitation of the density variation for different models guided by a specific choice of measure of departure from physical geometry of the physical space to ensure the physical acceptability has been obtained and analyzed for the stability performance. The solution so obtained has investigates large density and pressure at the center of the super dense star model; however the energy conditions are seen to be satisfied throughout certain spherical regions.  In addition to that, the analysis yields a strong indication that the model is stable with respect to infinitesimal redial pulsation.  We also found 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 times of its Schwarzschild radius.  Furthermore the solution for K= -11 (case study), has been tested for the stability and found it is stable for least admissible value.