On a weak Gauss law in general relativity and torsion

Abstract

We present an explicit example showing that the weak Gauss law of general relativity (with cosmological constant) fails in Einstein-Cartan's theory. We take this as an indication that torsion might replace dark matter.

10 pages. Version 2 corrects a factor 3 in Cartan's equations to become 2

References in corpus (2)

• Eleven spherically symmetric constant density solutions with cosmological constant
• Torsion, an alternative to dark matter?

Cited by in corpus (1)

• Einstein-Cartan, Bianchi I and the Hubble Diagram