General Relativity and Gravitation

, Volume 44, Issue 6, pp 1393–1417 | Cite as

Neutrino trapping in extremely compact objects described by the internal Schwarzschild-(anti-)de Sitter spacetimes

  • Zdeněk Stuchlík
  • Jan Hladík
  • Martin Urbanec
  • Gabriel Török
Research Article


Extremely compact stars (ECS) (having radius R < 3GM/c 2) contain captured null geodesics. Certain part of neutrinos produced in their interior will be trapped, influencing thus their neutrino luminosity and thermal evolution. The trapping effect has been previously investigated for the internal Schwarzschild spacetimes with the uniform distribution of energy density. Here, we extend our earlier study considering the influence of the cosmological constant Λ on the trapping phenomena. Our model for the interior of ECS is based on the internal Schwarzschild-(anti-)de Sitter (S(a)dS) spacetimes with uniform distribution of energy density matched to the external vacuum S(a)dS spacetime with the same cosmological constant. Assuming uniform and isotropic distribution of local neutrino emissivity we determine behavior of the trapping coefficients, i.e., “global” one representing influence on the neutrino luminosity and “local” one representing influence on the cooling process. We demonstrate that the repulsive (attractive) cosmological constant has tendency to enhance (damp) the trapping phenomena.


Neutrino trapping Extremely compact stars S(a)dS spacetimes 


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Zdeněk Stuchlík
    • 1
  • Jan Hladík
    • 1
  • Martin Urbanec
    • 1
  • Gabriel Török
    • 1
  1. 1.Faculty of Philosophy and Science, Institute of PhysicsSilesian University in OpavaOpavaCzech Republic

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