paper

The Einstein static universe with torsion and the sign problem of the cosmological constant

arXiv:gr-qc/0310058 · doi:10.1088/0264-9381/21/4/025

Abstract

In the field equations of Einstein-Cartan theory with cosmological constant a static spherically symmetric perfect fluid with spin density satisfying the Weyssenhoff restriction is considered. This serves as a rough model of space filled with (fermionic) dark matter. From this the Einstein static universe with constant torsion is constructed, generalising the Einstein Cosmos to Einstein-Cartan theory. The interplay between torsion and the cosmological constant is discussed. A possible way out of the cosmological constant's sign problem is suggested.

arXiv comment8 pages, LaTeX; minor layout changes, typos corrected, one new equation, new reference [5], completed reference [13], two references added

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