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

Understand

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.