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

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

2007-06-19

arxiv.org/abs/0706.2891v2

Phys.Rev.D76:044021,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, LaTex, no figures. References added, notation clarified. Accepted for publication on Physical Review D

Scientific paper

10.1103/PhysRevD.76.044021

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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