Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures

TL;DR

This paper extends the concept of complexity for static self-gravitating structures within the $f(R,T,Q)$ gravity framework, analyzing how modifications to gravity influence the complexity factor.

Contribution

It generalizes the complexity definition for static structures in $f(R,T,Q)$ gravity, incorporating anisotropy and inhomogeneity effects, and reduces to general relativity under specific conditions.

Findings

Complexity factor depends on energy density inhomogeneity and pressure anisotropy.

Zero complexity occurs when effects of inhomogeneity and anisotropy cancel.

Results revert to general relativity when $f(R,T,Q)=R$.

Abstract

The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in $f(R,T,Q)$ gravitational theory, where $R$ is the Ricci scalar, $T$ is the trace part of energy momentum tensor and $Q\equiv R_{\alpha\beta}T^{\alpha\beta}$. In this context, we have considered locally anisotropic spherical matter distribution and calculated field equations and conservation laws. After the orthogonal splitting of the Riemann curvature tensor, we found the corresponding complexity factor with the help of structure scalars. It is seen that the system may have zero complexity factor if the effects of energy density inhomogeneity and pressure anisotropy cancel the effects of each other. All of our results reduce to general relativity on assuming $f(R,T,Q)=R$ condition.