Some new dark energy star models in Rastall gravity via Tolman–Kuchowicz potentials

Abstract

In this paper, we are interested in modeling a new relativistic dark energy star by enforcing the static and anisotropic spherically symmetric fluid distribution in the realm of the Rastall theory of gravity. To do so, we have assumed a linear dark energy equation of state coupled with baryonic stellar matter: ρde=βρ, which has been used as a seed solution along with Tolman–Kuchowicz potentials to obtain the analytical solutions of the Rastall field equations. The stability of various physical attributes like matter variables, energy conditions, stability analysis, mass–radius relation, compactness and surface redshift have been examined corresponding to the observational data of the compact star PSRJ1614−2230 (R=9.69 km). Based on the evident results, for the small values of the Rastall parameter α, our proposed solutions are viable for a new stable relativistic dark energy star model in the realm of Rastall gravity, which comparatively seems to be more interesting than the results given in previous study (Saklany et al., 2022).