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Some exact solutions with torsion in 5D Einstein-Gauss-Bonnet gravity

F. Canfora1,2,*, A. Giacomini1,†, and S. Willison1,‡

  • 1Centro de Estudios Cientificos (CECS), Casilla 1469 Valdivia, Chile.
  • 2Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, GC Salerno, Italy.

  • *canfora@cecs.cl
  • †giacomini@cecs.cl
  • ‡steve@cecs.cl
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Phys. Rev. D 76, 044021 – Published 24 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044021

Abstract

Exact solutions with torsion in Einstein-Gauss-Bonnet gravity are derived. These solutions have a cross product structure of two constant curvature manifolds. The equations of motion give a relation for the coupling constants of the theory in order to have solutions with nontrivial torsion. This relation is not the Chern-Simons combination. One of the solutions has an AdS2×S3 structure and is so the purely gravitational analogue of the Bertotti-Robinson space-time where the torsion can be seen as the dual of the covariantly constant electromagnetic field.

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Phys. Rev. D 76, 044021– Published 24 August, 2007
  • Received 21 June 2007

© 2007 American Physical Society

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