Bertotti-Robinson solutions in five--dimensional quadratic gravity

Abstract

We construct new solutions of five-dimensional quadratic gravity as direct products of a constant curvature two-surface with a solution of three-dimensional new massive gravity with constant scalar curvature. These solutions could represent near-horizon limits of five-dimensional asymptotically flat black strings or black rings. A number of these non-asymptotically flat solutions are themselves black strings or rings. A by-product of our analysis is the construction of new solutions of four-dimensional quadratic gravity obtained by toroidal reduction of the five-dimensional solutions with flat transverse space. These again include black strings or rings, and an $Ad{S}_2\times T^2$ solution of $f(R)$ gravity for a specific relation between the model parameters.

16 pages. References added. Version to be published in Classical and Quantum Gravity

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Cited by in corpus (2)

• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Hairy black hole solutions in a three-dimensional Galileon model