Mathematics – Logic
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrvd..30.2447b&link_type=abstract
Physical Review D (Particles and Fields), Volume 30, Issue 12, 15 December 1984, pp.2447-2451
Mathematics
Logic
37
Scientific paper
It is shown that anti-de Sitter spacetime is the unique solution to Rab=Λgab with Λ<0 which is strictly stationary and asymptotically anti-de Sitter. Thus, in the absence of horizons, there are no soliton solutions to Einstein's equation with negative cosmological constant. The analogous statement for de Sitter spacetime (Λ>0) is discussed and some preliminary results are obtained.
Boucher William
Gibbons Gary W.
Horowitz Gary. T.
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