Trapping of neutrinos in the internal Schwarzschild-(anti-)de Sitter spacetimes

Mathematics – Logic

Scientific paper

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Scientific paper

Extremely compact objects (R<3 GM/c2) contain null geodesics that are captured by the object. Certain part of neutrinos produced in their interior will therefore be trapped, thus influencing neutrino luminosity of the objects and their thermal evolution. This effect was investigated for the interior Schwarzschild spacetimes with the uniform distribution of energy density by Stuchlík, Z., Török, G., Hledík, S. and Urbanec, M. (2005), Neutrino trapping in extremely compact objects, Classical Quantum Gravity, submitted. We will investigate here influence of the cosmological constant on the trapping phenomena. We use again the simplest model for interior of such objects based on the interior Schwarzschild-(anti-)de Sitter spacetimes. We determine behaviour of the trapping coefficients, i.e., ``global'' one representing influence on the neutrino luminosity and ``local'' one representing influence on the cooling process.

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