Physically viable solutions of anisotropic spheres in $f(\mathcal{R},\mathcal{G})$ gravity satisfying the Karmarkar condition

Abstract

This paper is devoted to discuss compact stars in $f(\mathcal{R},\mathcal{G})$ gravity, where $\mathcal{R}$ and $\mathcal{G}$ denote the Ricci scalar and Gauss-Bonnet invariant respectively. To meet this aim, we consider spherically symmetric space-time with anisotropic fluid distribution. In particular, the Karmarkar condition is used to explore the compact star solutions. Further, we choose two specific model of compact stars namely LMC X-4 (mass =1.29$M/M_{\odot }$ \& radii=9.711 km) and EXO 1785-248 (mass =1.30$M/M_{\odot }$ \& radii=8.849 km). We develop the field equations for $f(\mathcal{R},\mathcal{G})$ gravity by employing the Karmarkar condition with a specific model already reported in literature by Lake [Phys. Rev. D 67, 104015 (2003)]. We further consider the Schwarzschild geometry for matching conditions at the boundary. It is important to mention here that we calculate the values of all the involved parameter by imposing the matching condition. We have provided a detailed graphical analysis to discuss the physical acceptability of parameters, i.e., energy density, pressure, anisotropy, and gradients. We have also examined the stability of compacts stars by exploring the energy conditions, equation of state, generalized Tolman-Oppenheimer-Volkoff equation, causality condition, and adiabatic index. For present analysis, we predict some numerical values in tabular form for central gravitational metric functions, central density and central pressures components. We have also calculated the ratio $p_{rc}/{\rho }_c$ to check the validity of Zeldovich's condition. Conclusively, it is found that our obtained solutions are physically viable with well-behaved nature in $f(\mathcal{R},\mathcal{G})$ modified gravity for the compact star models under discussion.

17 Pages, 19 Figures

References in corpus (7)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Construction of cosmologically viable f(G) gravity models
• Relativistic stars in f(R) gravity, and absence thereof
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Observations of the X-ray pulsar LMC X-4 with NuSTAR: limit on the magnetic field and tomography of the system in the fluorescent iron line
• Strange stars in energy-momentum-conserved $f(R,T)$ gravity

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