The cosmological constant and the pulsating universe.

Details The cosmological constant and the pulsating universe. The cosmological constant and the pulsating universe.

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ncimb.106..123t&link_type=abstract

Nuovo Cimento B, Vol. 106, No. 2, p. 123 - 146

Mathematics

Logic

5

Scientific paper

The author's recently described method for obtaining an upper bound for a recollapsing, closed universe with a positive cosmological constant is extended to obtain a lower bound for a negative Λ. The bounds are readily generalized to cosmologies of higher dimensions. As the radius of recollapse becomes infinite and the metric Minkowskian, the bounds shrink to zero. It is inferred that in a special relativistic theory, the cosmological term should vanish. A special relativistic proof of this is given based on requiring invariance under the "tilting" of the spacelike hypersurface. Some of the remaining problems and possible successes of the pulsating universe are also described. In the appendix, the well-known instability of the Einstein universe is briefly treated by the method used here to obtain bounds on the cosmological constant.

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