Complexity factor for a class of compact stars in $f(R,T)$ gravity

Abstract

We investigate the concept of complexity factor for a class of compact star in the framework of modified $f(R,T)$ gravity. We obtain a generic form of hydrostatic equilibrium equation, express the Einstein field equations, mass function and also physical observation for linear form of function $f(R,T)=R+2\lambda T$, where $\lambda $ is the coupling parameter, $R$ is Ricci scalar and $T$ is trace of energy momentum tensor. We have analyzed the properties of compact astrophysical objects like energy density and anisotropic pressure are affected by changing the values of coupling parameter $\lambda $. We obtained numerical outputs of some physical variables for different chosen values of coupling parameter $\lambda $ to observe the effect of $\lambda $ on these quantities and show these in tabular form for different compact stars $4U 1820\mbox{-}30$, $\mathit{Her} X\mbox{-}1$, $\mathit{SAX} J 1808.4\mbox{-}3658$ and $\mathit{VelaX}\mbox{-}12$ with radii 10, 7.7, 7.07 and 9.99 respectively. We determine structure scalars with orthogonal splitting of the Riemann tensor and with the help of these scalars the complexity factor can be determined. Furthermore, we have checked some astrophysical sources for vanishing complexity factor.