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The correlation function for density perturbations in an expanding universe. I - Linear theoryThe evolution of the two-point correlation function for adiabatic density perturbations in the early universe is studied. Analytical solutions are obtained for the evolution of linearized spherically symmetric adiabatic density perturbations and the two-point correlation function for these perturbations in the radiation-dominated portion of the early universe. The results are then extended to the regime after decoupling. It is found that: (1) adiabatic spherically symmetric perturbations comparable in scale with the maximum Jeans length would survive the radiation-dominated regime; (2) irregular fluctuations are smoothed out up to the scale of the maximum Jeans length in the radiation era, but regular fluctuations might survive on smaller scales; (3) in general, the only surviving structures for irregularly shaped adiabatic density perturbations of arbitrary but finite scale in the radiation regime are the size of or larger than the maximum Jeans length in that regime; (4) infinite plane waves with a wavelength smaller than the maximum Jeans length but larger than the critical dissipative damping scale could survive the radiation regime; and (5) black holes would also survive the radiation regime and might accrete sufficient mass after decoupling to nucleate the formation of galaxies.
Document ID
19780030784
Document Type
Reprint (Version printed in journal)
Authors
Mcclelland, J. (California, University Berkeley, Calif., United States)
Silk, J. (California, University Berkeley, Calif.; Institute for Advanced Study, Princeton, N.J., United States)
Date Acquired
August 9, 2013
Publication Date
September 15, 1977
Publication Information
Publication: Astrophysical Journal
Subject Category
ASTROPHYSICS
Funding Number(s)
CONTRACT_GRANT: NGR-05-003-376
CONTRACT_GRANT: NGR-05-003-497
CONTRACT_GRANT: NGR-05-003-578
Distribution Limits
Public
Copyright
Other