Compact relativistic geometries in f(R, G) gravity

One of the possible potential candidates for describing the universe's rapid expansion is modified gravity. In the framework of the modified theory of gravity f(R, G), this work features the materialization of anisotropic matter such as compact stars. Specifically, to learn more about the physical behavior of compact stars, the radial, and tangential pressures as well as the energy density of six stars namely HerX - 1, SAXJ1808.4 - 3658, 4U1820 - 30, PSR J 1614 2230, VELAX - 1, and Cen X - 3 are calculated. Herein, the modified theory of gravity f(R, G) is disintegrated into two parts i.e. the tanh hyperbolic f(R) model and the three different f(G) models. The study focuses on graphical analysis of compact stars wherein the stability aspects, energy conditions, and anisotropic measurements are mainly addressed. Our calculation revealed that for the positive value of parameter n of the model f(G), all the six stars behave normally.

Automated summary

This article investigates the potential role of modified gravity theories in describing the rapid expansion of the universe, with a focus on the physical behavior of compact stars. The radial and tangential pressures, as well as energy density, are calculated for six stars. The study dissects the modified theory of gravity into different models and analyzes the stability, energy conditions, and anisotropic measurements of compact stars. The results indicate that all six stars behave normally for certain parameters of the model.