Homothetic motion in radiating and dissipative spheres

A method used to study the evolution of radiating dissipative fluid spheres is applied to the case in which the space–time admits a homothetic motion. We obtain a system of equations at the surface of the distribution which is integrated numerically. Considering that the shear viscosity induces anisotropy, we obtain a model derived from the static solution by Herrera, Jiménez, Leal, Esculpi, Ponce de León, and Galina [J. Math. Phys. 25, 3274 (1984)] for homothetic fluids but which includes dynamic variables. Therefore, the profiles of the physical variables at the surface are calculated and discussed in the light of one astrophysical scenario.