Mathematics – Logic
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jmp....31.2462l&link_type=abstract
Journal of Mathematical Physics, Vol. 31, No. 10, p. 2462 - 2465
Mathematics
Logic
3
Cosmological Models: Relativity Theory
Scientific paper
Starting from the initial value formulation of dust solution given in paper 161.308 a relativistic perturbation equation and its general solutions in spherically symmetric universes are derived. It is found that these solutions are in analogy with the Bonnor-Weinberg results of the Newtonian theory and contain three modes: a growing mode, a decaying mode, and a constant mode.
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