Structure scalars and dissipative fluids in modified theory

Abstract

The present paper studies the influences of f(R,T,Q) gravity on the construction of modified scalar variables and their contribution on the expressions of the Raychaudhuri, shear and Weyl scalar equations. In this context, the non-static irrotational spherical structure is considered that is further assumed to be associated with a radiating locally anisotropic relativistic matter content in an environment of a particular f(R,T,Q)=ωR(1+εQ)+λT form. After formulating the Misner–Sharp mass, the expression relating it with Weyl scalar and structural quantities is found. We have constructed all the possible f(R,T,Q) structure scalars through the orthogonal decomposition of the Riemann tensor. The role of these variables are analyzed in the formulations of Weyl scalar, expansion and shear evolution equations for the both interacting and non-interacting cloud of particles. The causes of irregularities on the previously homogeneous system is also studied. We proposed that structure scalars of f(R,T,Q) theory could be effective ingredients for studying Penrose–Hawking singularity theorems.