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

Astronomy and Astrophysics – Astrophysics

Scientific paper

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

Scientific paper

Spherically symmetric equilibrium configurations of cold catalyzed matter are studied in the framework of the Einstein-Cartan theory of gravitation. The study is facilitated by the fact that, for a simple situation such as a spherically symmetric arrangement, the Einstein-Cartan equations take the same form as the Einstein equations. A qualitative analysis of superdense equilibrium configurations, together with exact models obtained by numerical computation, shows that no new stable families of superdense configurations exist in the Einstein-Cartan theory.

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