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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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28 pages, latex2e

Scientific paper

10.1088/1126-6708/2002/10/063

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.

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