Dynamics of spherical stars with structure scalars and R + ϵRn cosmology

Abstract

We study the role of the R + ϵRn model on the dynamical evolution of radiating anisotropic and shearing viscous relativistic spherical stellar structures. In this context, we calculate modified versions of scalar functions (previously defined by L. Herrera et al. Phys. Rev. D, 79, 064025 (2009). doi:10.1103/PhysRevD.79.064025 ) for the problem under consideration and then associate them with the physical parameters. The Weyl tensor as well as other matter variables with extra curvature terms coming from the model are related and find shear and expansion evolution equations. We conclude that structure scalars along with f(R) degrees of freedom have vital importance in the dynamics of spherical compact systems.