English

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

General Relativity and Quantum Cosmology 2009-11-07 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.gr-qc/0211006,
  title  = {Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant},
  author = {M. Anderson and P. T. Chrusciel and E. Delay},
  journal= {arXiv preprint arXiv:gr-qc/0211006},
  year   = {2009}
}

Comments

28 pages, latex2e