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Exact solution of the Lifshitz equations governing the growth of fluctuations in cosmologyThe exact solution of the Lifshitz equations governing the cosmological evolution of an initial fluctuation is presented. Lifshitz results valid for squares of the sound velocity equal to zero and 1/3 are extended in closed form to any equation of state where the pressure equals the total energy density times the square of the sound velocity. The solutions embody all the results found previously for special cases of the square of the sound velocity. It is found that the growth of any initial fluctuation is only an exponential function of time with an exponent of not more than 4/3 and is insufficient to produce galaxies unless the initial fluctuation is very large. A possible way to produce very large initial fluctuations by modifying the equation of state by including gravitational interactions is also examined. It is found that a phase transition can occur at baryonic density of 1 nucleon per cubic Planck length or equivalently, at a time of about 10 to the -43rd power sec. At those early times, the masses allowed by causality requirements are too small to be of interest in galaxy formation.
Document ID
19760036934
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Adams, P. J.
(NASA Goddard Institute for Space Studies New York, N.Y., United States)
Canuto, V.
(NASA Goddard Institute for Space Studies; City College New York, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
December 15, 1975
Publication Information
Publication: Physical Review D - Particles and Fields
Subject Category
Astrophysics
Accession Number
76A19900
Distribution Limits
Public
Copyright
Other

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