Quasi-static thermal evolution of compact objects

We study under what conditions the thermal peeling is present for dissipative local and quasi-local anisotropic spherical matter configurations. The thermal peeling occurs when different signs in the velocity of fluid elements appears, giving rise to the splitting of the matter configuration. The evolution is considered in the quasi-static approximation and the matter contents are radiant, anisotropic (unequal stresses) spherical local and quasi-local fluids. The heat flux and the associated temperature profiles are described by causal thermodynamics consistent with this approximation. It is found some particular, local and quasi-local equation of state for ultra-dense matter configurations exhibit thermal peeling when most of the radiated energy is concentrated at the middle of the distribution. This effect, which appears to be associated with extreme astrophysical scenarios (highly relativistic and very luminous gravitational system expelling its outer mass shells), is very sensible to energy flux profile and to the shape of the luminosity emitted by the compact object.