You can find here the latest versions (updated on 26.XI.2000,
essentially following a discussion with Gary Horowitz) of a postscript
and a dvi file of my joint work with Walter Simon on various
properties of static space-times, solutions of the vacuum Einstein
equations with a negative cosmological constant; the files here should
be identical to those on http://xxx.lanl.gov/abs/gr-qc/0004032
except for the "time stamps"; you can find the abstract of the paper
there.
The file jmp.pdf is the pdf file of the printed version of the
paper, from Jour. Math. Phys. **42**,
1779-1817 (2001); be warned that the JMP version is somewhat
shorter than the one here, or on gr-qc, as requested by the
editors. This makes it somewhat less complete, and somewhat less
readable here and there.

*Copyright 2001 American Institute of Physics. This article may
be downloaded for personal use only. Any other use requires prior
permission of the author
and the American Institute of Physics. *

**Listing of
Wed Apr 11 11:14:44 CEST 2001: **
` `

My further work on static and stationary solutions of the Einstein field equations
with negative cosmological constant includes:

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

**Authors:**
Michael Anderson,
Piotr T. Chrusciel,
Erwann Delay

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.

**Full-text:**PostScript, PDF, or dvi

**Comments:**[gr-qc/0211006],
Journal
of High Energy Physics 10 (2002) 063

**
**

## Non-trivial, static, geodesically complete space-times with a negative
cosmological constant II. $n\ge 5$

**Authors:**
Michael Anderson,
Piotr T. Chrusciel,
Erwann Delay

We show that the recent work of Lee [23] implies existence of a large class
of new singularity-free strictly static Lorentzian vacuum solutions of the
Einstein equations with a negative cosmological constant. This holds in all
space-time dimensions greater than or equal to four, and leads both to strictly
static solutions and to black hole solutions. The construction allows in
principle for metrics (whether black hole or not) with Yang-Mills-dilaton
fields interacting with gravity through a Kaluza-Klein coupling.

**Full-text:**PostScript, PDF, dvi, or page proofs (PDF)

**Comments:**
Proceedings of the Strasbourg Meeting on AdS-CFT correspondence, O.Biquard,
V.Turaev, Eds., IRMA
Lectures in Mathematics and Theoretical Physics, de Gruyter, Berlin, New York, in press; latex2e, 39 pages in A4 [gr-qc/0401081]

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