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:
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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:
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
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)