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At the gravitational collapse of a star the local temperatures in internal layers grow more rapidly than on surface, while the last one grows on world time exponentially. For this reason it is probable formation not a frozar, but an optimistic scenario of the collapse when matter of a star rapidly transfers into the radiation-dominated state with stabilization or further expansion (anticollapse). As a result, at stabilization the star can long on world time be in a hot phase (on local temperature). The semi-frozen relativistic objects in such quasistable phase release highly reddened quasirelict radiation and it is proposed to name this new class of objects as glowsars (glow star). Most of matter of glowsar concentrates near its surface in a radiation-dominated state. At defrosting of the glowsar its expansion at a final stage happens exponentially rapidly (the relativistic explosion) and the object is observed as the relativistic supernova or hypernova. Observable examples of the relativistic explosion, or anticollapse, are, perhaps, the Big Bang and some explosions in astrophysics with huge energy release, do not explained by known processes. Some idealized models and numerical simulations testify that at contracting of massive enough objects growing of pressure and temperature in internal layers can balance the gravitational pull and the explosive expansion is possible. The observable consequences of the predictions of GR about properties of the compact objects in glowsar state and the relativistic explosion are discussed. PACS: 04.20.Dg; 04.70.-s; 97.60.-s, 98.54.-h

On the theory of relativistic collapse and relativistic explosion. 2. Quasistable states as glowsars and bursts at recollapse