Electrically charged isotropic stars with Tolman - IV model

The paper discusses novel solutions of Einstein-Maxwell field equations by describing the static spherically symmetric isotropic matter distributions and electrifying a well-known uncharged model in general relativity. We start by selecting a Tolman - IV type potential for the gravitational potential g_tt and a physically reasonable choice for the electric field intensity E in view to exploiting isotropic sources of matter which act as a basis for generating confined compact stars. These solutions are constructed to match interior space-time geometries with exterior Reissner-Nordström solution at the pressure-free boundary. The viability of the models is compared with observational data of some heavy pulsars coming from the Neutron Star Interior Composition Explorer (NICER). In particular, Her X-1, SAX J1808.4-3658, and 4U 1538-52 are considered. We stretch our findings by measuring the mass-radius relationship for our developed model, which reveals that the predicted radii via the M- R curve are lying in the range of R ≤ 14- 16km . Moreover, the generated model satisfies all of the required major physical properties for realistic compact stars. We can also say that this approach can play a vital role in encouraging the study of the electrification of well-known neutral stellar systems.