paper

Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant

arXiv:gr-qc/0211006 · doi:10.1088/1126-6708/2002/10/063

Abstract

We construct a large class of new singularity-free static Lorentzian four-dimensional solutions of the vacuum Einstein equations with a negative cosmological constant. The new families of metrics contain space-times with, or without, black hole regions. Two uniqueness results are also established.

28 pages, latex2e

Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant · wovepaper