VACUUM THIN SHELL SOLUTIONS IN FIVE DIMENSIONAL LOVELOCK GRAVITY

摘要

Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. Two spherically symmetric regions of space-time are joined in with vanishing stress tensor on the junction surface. Such solutions are a generalized kind of spherically symmetric empty space solutions, described by metric functions of the class C_0. New global structures arise with surprising features. In particular, vacuum wormholes do exist in this theory. These can be regarded as gravitational solitons, which connect two asymptotically (Anti) de-Sitter spaces with different masses and/or different effective cosmological constants. We prove the existence of both static and dynamical solutions and discuss their (in)stability under perturbations that preserve the symmetry.