Relaxational effects in stellar heat transport can in many cases be signifi
cant. Relativistic Fourier-Eckart theory is inherently quasi-stationary, an
d cannot incorporate these effects. The effects are naturally accounted for
in causal relativistic thermodynamics, which provides an improved approxim
ation to kinetic theory. Recent results, based on perturbations of a static
star, show that relaxation effects can produce a significant increase in t
he central temperature and temperature gradient for a given luminosity. We
use a simple stellar model that allows for non-perturbative deviations from
staticity, and confirms qualitatively the predictions of the perturbative
models.