Hypersurface-deformation algebroids and effective spacetime models - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review D Année : 2016

Hypersurface-deformation algebroids and effective spacetime models

Martin Bojowald
  • Fonction : Auteur
Suddhasattwa Brahma
  • Fonction : Auteur
Umut Buyukcam
  • Fonction : Auteur

Résumé

In canonical gravity, covariance is implemented by brackets of hypersurface-deformation generators forming a Lie algebroid. Lie-algebroid morphisms, therefore, allow one to relate different versions of the brackets that correspond to the same spacetime structure. An application to examples of modified brackets found mainly in models of loop quantum gravity can, in some cases, map the spacetime structure back to the classical Riemannian form after a field redefinition. For one type of quantum corrections (holonomies), signature change appears to be a generic feature of effective spacetime, and it is shown here to be a new quantum spacetime phenomenon which cannot be mapped to an equivalent classical structure. In low-curvature regimes, our constructions not only prove the existence of classical spacetime structures assumed elsewhere in models of loop quantum cosmology, they also show the existence of additional quantum corrections that have not always been included.

Dates et versions

hal-01554541 , version 1 (03-07-2017)

Identifiants

Citer

Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam, Fabio d'Ambrosio. Hypersurface-deformation algebroids and effective spacetime models. Physical Review D, 2016, 94 (10), pp.104032. ⟨10.1103/PhysRevD.94.104032⟩. ⟨hal-01554541⟩
475 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More