Dynamics of relativistic fluids with structure scalars and $$\epsilon R^2$$ ϵ R 2 cosmology

Abstract

This work is devoted to analyze the effects of $$f(R)$$ model on the dynamics of dissipative shearing viscous and anisotropic spherical matter configuration. In this framework, we develop scalar functions and link their expressions with various physical parameters and inflationary $$f(R)$$ dark source terms. We also relate the Weyl tensor as well as other matter variables with $$R+{\epsilon }R^2$$ background and obtain evolution equations for shear and expansion scalars. We conclude that structure scalars and $$f(R)$$ higher curvature terms have significant importance in the dynamics of self-gravitating systems.