On a weak Gauss law in general relativity and torsion

Thomas Schucker (1, 2) , Sami R. Zouzou (3)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 7332
3 LPT - Laboratoire de PhysiqueThéorique

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.

Mots clés: Einstein equation; general relativity

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Thomas Schucker, Sami R. Zouzou. On a weak Gauss law in general relativity and torsion. Classical and Quantum Gravity, 2012, 29 (24), pp.245009. ⟨10.1088/0264-9381/29/24/245009⟩. ⟨hal-00683125⟩