Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity

Abstract: The purpose of this paper is to study charged compact stars using extended gravitational theory, also known as $f(\mathcal{R}, \mathcal{G}, \mathcal{T})$ gravity. Alternatively, this theory is also called $f(\mathcal{R}, \mathcal{T}, \mathcal{G})$ gravity. The symbols $\mathcal{R}, \mathcal{G}$, and $\mathcal{T}$ denote the Ricci Scalar, the Gauss-Bonnet invariant, and the trace of the energy-momentum tensor, respectively. We suggested several plausible models in the framework of this new gravity theory, and then used these models to explore several physical properties of compact objects of relativistic nature. This research also takes into account three famous compact stars: Vela X-1 (CS1); SAXJ1808.4-3658 (CS2); and 4U1820-30 (CS3). Moreover, using the suggested models, the physical nature of anisotropic stress, energy density, various energy conditions (ECs), the state of equilibrium, interior stability, mass variations, compactness, anisotropy, electric charge, and electric field intensity are analysed for considered compact stars. Different plots of the above-mentioned quantities are presented for this analysis. Conclusively, the ECs are satisfied, and the compact stars have a significant dense core.