Static Spherical Configurations of Cold Matter in the EinsteinCartan Theory of Gravitation
Abstract
We investigate static, spherical configurations of cold catalized matter in the EinsteinCartan theory of gravitation. Assuming that density of spin is proportional to the number density of baryonsn and using an equation of state of a degenerate, relativistic Fermi gas, we numerically integrated the relativistic equation of equilibrium. We have also studied the stability of those configurations. Configurations with central number densityn _{ c } such thatdtilde pdn_{n = n_c } > 0 wheretilde p is the effective pressure, are very similar to general relativistic configurations with the same central density. In the EinsteinCartan theory there exists another disjoint family of equilibrium configurations for whichdtilde pdn_{n = n_c }< 0 buttilde p(n = n_c ) > 0. Those configurations have very small masses ∼10^{6} g and raddi ∼10^{34} cm and are unstable.
 Publication:

Astrophysics and Space Science
 Pub Date:
 January 1978
 DOI:
 10.1007/BF00645912
 Bibcode:
 1978Ap&SS..53..173D
 Keywords:

 Einstein Equations;
 Equilibrium Equations;
 Gravitation Theory;
 Relativity;
 Astronomical Models;
 Cartan Space;
 Gravitational Collapse;
 Space Density;
 Astrophysics