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arXiv · 0706.2891

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

F. Canfora·A. Giacomini·S. Willison
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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 a $AdS_2\times S^3$ 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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F. Canfora, A. Giacomini, S. Willison. 2007-07-10. Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity. https://doi.org/10.1103/physrevd.76.044021

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