Quantum mechanics

Theoretical physics

Curvature

Riemann curvature tensor

Mathematical physics

Scalar curvature

Shearing (physics)

Singularity

Classical mechanics

Thermodynamics

Physics

Scalar (mathematics)

Mathematics

Geometry

Dissipative system

The European Physical Journal Plus

This work is devoted to exploring the effects of f (G, T) terms on the study of structure scalars and their influence on the formulation of the Raychaudhuri, shear and Weyl scalar equations. For this purpose, we have assumed non-static spherically symmetric geometry coupled with shearing viscous locally anisotropic dissipative matter content. We have developed relations among Misner-Sharp mass, Weyl scalar, matter and structure variables. We have also formulated a set of f (G, T) structure scalars after orthogonally breaking down the Riemann curvature tensor. The influences of these scalar functions on the modeling of relativistic radiating spheres are also studied. The factor involved in the emergence of inhomogeneities is also explored for the constant and varying modified curvature corrections. We inferred that f (G, T) structure scalars could provide an effective tool to study the Penrose-Hawking singularity theorems and the Newman-Penrose formalism.

On the role of f (G, T) terms in structure scalars