Publication date: Feb 2009
Abstract:
Extremely compact objects (9GM/4c2 < R <
3GM/c2) contain trapped null geodesics. When such objects
enter the evolution period corresponding to the geodetical motion of
neutrinos, a certain part of neutrinos produced in their interior will
be trapped influencing thus neutrino luminosity of the objects and
consequently their thermal evolution. The existence of trapped neutrinos
indicates possibility of ‚two-temperature‘ cooling regime of the
extremely compact objects. We present upper estimates on the efficiency
of the neutrino trapping effects obtained in the framework of the
simplest model of the internal Schwarzschild spacetime with uniform
distribution of energy density, assuming uniform distribution of
neutrino emissivity. We introduce a ‚global‘ luminosity trapping
coefficient representing influence of the trapping effect on the total
neutrino luminosity of the extremely compact objects and cooling
trapping coefficients of both ‚local‘ and ‚global‘ kinds characterizing
influence of the trapping on the cooling process. It is shown that the
trapping of neutrinos can be relevant to moderately or even slightly
extremely compact objects.
Authors:
Stuchlík, Zdeněk; Török, Gabriel; Hledík, Stanislav; Urbanec, Martin;