Gravo-thermal catastrophe in gravitational collapse and energy progenitor of Gamma-Ray Bursts

We study the homologous collapse of stellar nuclear core, virial theorem for hadron collisional relaxations, and photon productions from collisions. thus show gravo-thermal dynamical process that transforms gravitational energy to energy. The is energetically entropically favourable. total baryon number conservation, Euler equation energy-momentum conservation Poisson's potential are adopted describe core collapses. determines collision gain potential. hadronic production rate density. time scales macroscopic microscopic processes studied verify approximations. As a result, we formation opaque photon-pair spheres, whose energy, size, temperature density, accounting main energetic features Gamma-Ray Burst progenitors. obtain intrinsic correlations these quantities. They depend only on averaged thermal index core. discuss possibility confront them with observational data.