A topological origin for Dark Energy

J Lorca Espiro (1) , Morgan Le Delliou (2)

1 University of São Paulo (IFUSP)
2 IFT-UNESP - Instituto de Fisica Teorica

Cosmology struggles with the theoretical problems generated by the observed value and recent emergence of a cosmological constant, in the standard model of cosmology, i.e. the concordance model. We propose to provide a more natural explanation for its value than the conventional quantum vacuum energy in the guise of topological invariants. Introducing topological classes densities as Lagrange multipliers, an effective cosmological constant is generated. General Relativity is reestablished by cancelling the torsion thus generated, which provides constraints on the invariants and yield the form of the effective cosmological constant. As it is divided by the total volume of spacetime, its small value compared to the Planck scale is therefore natural. It also provides a direct measurement of the global Euler number.

Mots clés: general relativity; differential geometry; topological invariants; torsion two-form; space-time topology; cosmological constant; cosmology

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

J Lorca Espiro, Morgan Le Delliou. A topological origin for Dark Energy. 2015. ⟨hal-01169078⟩