Vacuum solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory

Understand

The classification of certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is presented.

• The spacelike section of the class of metrics under consideration is a warped product of the real line with a nontrivial base manifold.
• For arbitrary values of the Gauss-Bonnet coupling, the base manifold must be Einstein with an additional scalar restriction.
• The geometry of the boundary can be relaxed only when the Gauss-Bonnet coupling is related with the cosmological and Newton constants, so that the theory admits a unique maximally symmetric solution.