Mathematics – Logic
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.3925w&link_type=abstract
Physical Review D (Particles and Fields), Volume 34, Issue 12, 15 December 1986, pp.3925-3926
Mathematics
Logic
18
Exact Solutions
Scientific paper
Comments are made on a class of similarity solutions in general relativity that are spherically symmetric and have a negative pressure as required to account for the matter production of certain current models of the early Universe. This class of solutions is defined by one fairly simple ordinary differential equation. This equation was first derived by Henriksen, Emslie, and Wesson [Phys. Rev. D 27, 1219 (1983)], who studied similarity of the second type, with a finite cosmological constant Λ. Now, it is pointed out that the same equation is also derived from similarity of the first type, with a zero Λ. The present work extends some of the results found previously and raises new possibilities about how a model Universe may go over from a state with finite Λ to a state with zero Λ.
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