Analysis of heat flow in the post-quasi-static approximation for gravitational collapse in five dimension

Abstract In this work, a generalized framework of the post-quasistatic approximation in higher dimensional non-comoving coordinates is presented. We study evolution adiabatically radiating and dissipative fluid configuration post-quasi-static approximation. An iterative method for describing self-gravitating spheres developed purpose. Dissipation described by free-streaming radiation heat flux. match interior solution, coordinates, with corresponding Vaidya exterior solution. The form leads to system surface equations. equations are significant importance understanding physical phenomenon like luminosity, Doppler shift red-shift at boundary gravitating sources.