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2010-01-01 - Article/Dans un journal avec peer-review - Anglais - page(s)

Bourliot F., Estes J., Petropoulos P. M., Spindel Philippe , "Gravitational instantons, self-duality and geometric flows" in Physical Review. D, Particles and Fields, 81, 10

  • Edition : American Physical Society, Lancaster (PA)
  • Codes CREF : Mécanique quantique classique et relativiste (DI1211), Théorie quantique des champs (DI1215)
  • Unités de recherche UMONS : Mécanique et gravitation (S884S)
Texte intégral :

Abstract(s) :

(Anglais) We discuss four-dimensional "spatially homogeneous" gravitational instantons. These are self-dual solutions of Euclidean vacuumEinstein’s equationswith potentially non-vanishing cosmological constant. They are endowed with a product structure R ×M3 leading to a natural foliation into three-dimensional subspaces evolving in Euclidean time. For a large class of three-dimensional subspaces, the dynamics coincides with the geometric flow on the three-dimensional homogeneous slice, driven by the Ricci tensor plus an so(3) gauge connection. The metric on the three-dimensional space is related to the vielbein of the threedimensional subspace, while the gauge field is inherited from the anti-self-dual component of the four-dimensional Levi–Civita connection.

Notes :
  • (Anglais) e-Print: arXiv:0906.4558 [hep-th]
  • (Anglais) Z104001,2010.
Identifiants :
  • DOI : 10.1103/PhysRevD.81.104001
  • ISSN : 0556-2821