Relativistic model of a spherical star emitting neutrinos.
Abstract
A simple but complete relativistic model of a spherical star emitting neutrinos is presented, with its basis in the coupled EinsteinDirac equations. The interior of the star is assumed to be a perfect fluid bounded in space; matter is considered transparent for neutrinos and the exterior region contains only neutrinos and the gravitational field. The compatibility of neutrinos with spherically symmetric gravitational fields is discussed and a redefinition proposed for the physical energymomentum tensor of neutrinos, which enters the righthand side of Einstein equations. The analytical solutions correspond to a description of emission of neutrinos with cooling and contraction of the configuration. The local conservation laws and the junction and boundary conditions of the exterior and interior solutions in the surface of the fluid are studied to characterize two classes of solutions. In one case the solution describes the stage of neutrino emission immediately before the fluid is totally contained inside its Schwarzschild radius, when the emission of neutrinos ceases. The other possibility can correspond to a quasistatic configuration emitting neutrinos.
 Publication:

Physical Review D
 Pub Date:
 April 1978
 DOI:
 10.1103/PhysRevD.17.1924
 Bibcode:
 1978PhRvD..17.1924S
 Keywords:

 Neutrinos;
 Relativity;
 Stellar Models;
 Stellar Radiation;
 Boundary Conditions;
 Boundary Value Problems;
 Dirac Equation;
 Einstein Equations;
 Schwarzschild Metric;
 Spheres;
 Spinor Groups;
 Stellar Gravitation;
 Tensor Analysis;
 Astrophysics;
 Neutrinos:Relativistic Stars