Vacuum static compactified wormholes in eight-dimensional Lovelock theory

Understand

In this paper new exact solutions in eight dimensional Lovelock theory will be presented.

• These solutions are vacuum static wormhole, black hole and generalized Bertotti-Robinson space-times with nontrivial torsion.
• All the solutions have a cross product structure of the type $M_{5}\times \Sigma_{3} $ where $M_{5}$ is a five dimensional manifold and $\Sigma_{3}$ a compact constant curvature manifold.
• The wormhole is the first example of a smooth vacuum static Lovelock wormhole which is neither Chern-Simons nor Born-Infeld.