Abstract
The possible emergence of compact stars has been investigated in the recently introduced modified Gauss–Bonnet f(mathcal {G},T) gravity, where mathcal {G} is the Gauss–Bonnet term and T is the trace of the energy-momentum tensor (Sharif and Ikram, Eur Phys J C 76:640, 2016). Specifically, for this modified f(mathcal {G}, T) theory, the analytic solutions of Krori and Barua have been applied to an anisotropic matter distribution. To determine the unknown constants appearing in the Krori and Barua metric, the well-known three models of the compact stars, namely 4U1820-30, Her X-I, and SAX J 1808.4-3658 have been used. The analysis of the physical behaviour of the compact stars has been presented and the physical features like energy density and pressure, energy conditions, static equilibrium, stability, measure of anisotropy, and regularity of the compact stars, have been discussed.
Highlights
Where p, ρ, and m is the pressure, density, and mass of the star, respectively, varying with radial coordinate r
We have presented some useful discussions related to the emergence of compact stars in the newly introduced f (G, T ) theory of gravity by considering the model f (G, T ) = αGn + λT
We have tested this model for the strange star candidates Her X-1, SAX J 1808.4-3658, and 4U 1820-30 for an anisotropic case by using the Krori and Barua approach of the metric function [15], that is, a = Br 2 + C, b = Ar 2
Summary
Where p, ρ, and m is the pressure, density, and mass of the star, respectively, varying with radial coordinate r. Mak and Harko [18] used some standard models for spherically symmetric compact objects and explored exact solutions to find the physical parameters such as the energy density, radial and tangential pressures, thereby concluding that inside these stars, the parameters would remain positive and finite. Hossein et al [19] studied the effects on anisotropic stars due to the cosmological constant Various physical properties, such as mass, radius, and moment of inertia, of neutron stars have been investigated and a comprehensive comparison has been established with GR and modified theories of gravity [20]. The possible formation of compacts stars in a modified theory of gravity by using the Krori and Barua metric for spherically symmetric anisotropic compact stars has been discussed [47,48].
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