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:
Name (Last modified) Size
jmp.pdf   (Apr 11 09:59) 345226
static.dvi   (Dec 20 09:39) 240344
static.pdf   (Dec 20 09:39) 491544
static.ps   (Dec 20 09:39) 572512
static.tex   (Dec 20 09:39) 188480


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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