Wormholes with asymptotic Lifshitz scaling in Ho?ava gravity

[摘要] We study static spherically symmetric solutions of the nonprojectable Hoava theory with and without cosmological constant. The solutions we find are two-side wormholes and (single-side) naked singularities. Interestingly, in the case of negative cosmological constant we find that in the exterior side the wormhole acquires an asymptotic scaling between space and time equal to the scaling of the Lifshitz solution, which was previously found to be a vacuum solution of the same theory. This result leads us to pose the question whether in the case of negative cosmological constant the asymptotic anisotropic Lifshitz scaling is a generic feature of the vacuum field equations rather than the asymptotic AdS-like scaling.

[发布机构] Departamento de Física, Universidad Simón Bolívar, Caracas, Venezuela^1;Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile^2;Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile^3

[效力级别] 数学

[关键词] Asymptotic scaling;Cosmological constants;Generic features;Naked singularities;Space and time;Symmetric solution;Vacuum field