An acceptable study of anisotropic dark energy stars in modified [formula omitted] gravity

Abstract

In this work, we investigate a stable spherically symmetric relativistic stellar configuration within the framework of f(R,G) gravity. Here, we consider the stellar object filled by a mixture of two non-interacting isotropic ordinary matter and anisotropic dark energy (DE) in the fluid state, named by ‘dark energy star’. Also, these two stated fluids are related by a direct proportional condition between matter density and DE density. In particular, we have used Krori-Barua (K-B) matric potentials to solve the field equations. The whole discussion is performed corresponding to a fixed functional form f(R,G)=R+λR2+G10 with a constant λ. Again, in order to verify the well-behaved nature of our obtained stellar system, we have checked several attributes of our proposed DE stellar structure with a detailed graphical representation. For this connection, we have chosen three compact stars like, SAX JI808.4-3658, PSR J1614-2230, and 4U1820-30, with mass (M) and radius (R). We have shown the stability of our stellar system by exploring several tests via causality conditions, adiabatic index, Tolman-Oppenheimer-Volkoff equation, and Harrison-Zeldovich-Novikov criteria. Further, we have shown that ordinary matter and DE maintain their own characters by discussing energy conditions. Finally, based on the whole discussion, we have concluded that our proposed DE stellar system is stable and also maintains all physical acceptability requirements in f(R,G) gravity.