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

Abstract

The present work is to introduce a new kind of modified gravitational theory, named as $f(\mathcal{R},\mathcal{G},\mathcal{T})$ (also $f(\mathcal{R},\mathcal{T},\mathcal{G})$) gravity, where $\mathcal{R}$ is the Ricci scalar, $\mathcal{G}$ is Gauss-Bonnet invariant and $\mathcal{T}$ is the trace of the energy-momentum tensor. With the help of different models in this gravity, we investigate some physical features of different relativistic compact stars. For this purpose, we develop the effectively modified field equations, conservation equation, and the equation of motion for test particle. Then, we check the impact of additional force (massive test particle followed by a non-geodesic line of geometry) on compact objects. Furthermore, we took three notable stars named as $HerX-1$, $SAXJ1808.4-3658$ and $4U1820-30$. The physical behavior of the energy density, anisotropic pressures, different energy conditions, stability, anisotropy, and the equilibrium scenario of these strange compact stars are analyzed through various plots. Finally, we conclude that the energy conditions hold, and the core of these stars is so dense.

arXiv commentSome changes have been made. " To appear in International Journal of Modern Physics A"

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Cited by in corpus (8)

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• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Compact relativistic geometries in $f(R,G)$ gravity
• Effects of $f(R,G)$ gravity on anisotropic charged compact objects
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes