Mathematics – Mathematical Physics
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32.3546d&link_type=abstract
Journal of Mathematical Physics, Vol. 32, No. 12, p. 3546 - 3552
Mathematics
Mathematical Physics
2
Scientific paper
The disappearance of the cosmological constant can be formally treated by means of similarity solutions of general relativity that evolve from a stage with conformal symmetry to a stage with homothetic symmetry. In this work it is assumed that in this transition the universe does not "lose its memory" completely, but it does "remember" some of its past characteristics. Specifically, it is assumed that the equation of state remains the same in both stages. Then, the most general, spherically symmetric, cosmological model compatible with this assumption is developed. It is shown that it can be used to describe, classically, the birth, near the center of a spherical domain (a "bubble") of positive density and pressure from an early universe with particle production.
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