Isotropic uncharged model with compactness and stable configurations

Abstract

In this study we have obtained a new exact model for relativistic stellar object by solving Einstein’s field equation with help of Buchdahl metric. The model is capable to represent some known compact stars like Her X-1,4U 1538-52 and SAX J1808.4-3658. The model satisfies the regularity, casuality, stability and energy conditions. Using the Tolman–Oppenheimer–Volkoff equations, we explore the hydrostatic equilibrium for an uncharged case. We have also compared these conditions with graphical representations that provide strong evidences for more realistic and viable models.

An isotropic extension of Einstein’s universe solution through gravitational decoupling

“…Despite this fact, isotropic solutions remain common assumptions in the study of compact objects since they can perfectly describe phenomena such as realistic stars, or even be used as models of cold fluid planets, or as well as the simple fact of expanding the collection of known isotropic solutions built so far is also valid (see for example, Refs. [15][16][17][18][19][20][21][22][23][24][25][26][27][28]).…”