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Static spherical configurations of cold matter in the Einstein-Cartan theory of gravitation

Authors:	M Demiański M Prószyński

Institution:	(1) Institute of Theoretical Physics, University of Warsaw, Poland

Abstract:	We investigate static, spherical configurations of cold catalized matter in the Einstein-Cartan 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 that $d\tilde p\|dn\|_{n = n_c } > 0$ where $\tilde p$ is the effective pressure, are very similar to general relativistic configurations with the same central density. In the Einstein-Cartan theory there exists another disjoint family of equilibrium configurations for which $d\tilde p\|dn\|_{n = n_c }< 0$ but $\tilde p(n = n_c ) > 0$ . Those configurations have very small masses 10^–6 g and raddi 10^–34 cm and are unstable.Supported in part by Research Grant MR-I-7.

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