Publication Abstracts
Adams and Canuto 1975
Adams, P.J., and
, 1975: Exact solution of the Lifshitz equations governing the growth of fluctuations in cosmology. Phys. Rev. D, 12, 3793-3799, doi:10.1103/PhysRevD.12.3793.We present the exact solution of the Lifshitz equations governing the cosmological evolution of an initial fluctuation. Lifshitz results valid for cs2=0 and cs2=1/3 are extended in closed form to any equation of state of the form p=cs2 ε. The solutions embody all the results found previously for special cases of cs2. It is found that the growth of any initial fluctuation is only like tn with n ≤ 4/3 and hence 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, as originally suggested by Sakharov, 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 t ∼ 10-43 sec. At those early times the masses allowed by causality requirements are, however, too small to be of interest in galaxy formation.
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BibTeX Citation
@article{ad05000n, author={Adams, P. J. and Canuto, V.}, title={Exact solution of the Lifshitz equations governing the growth of fluctuations in cosmology}, year={1975}, journal={Physical Review D}, volume={12}, pages={3793--3799}, doi={10.1103/PhysRevD.12.3793}, }
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RIS Citation
TY - JOUR ID - ad05000n AU - Adams, P. J. AU - Canuto, V. PY - 1975 TI - Exact solution of the Lifshitz equations governing the growth of fluctuations in cosmology JA - Phys. Rev. D JO - Physical Review D VL - 12 SP - 3793 EP - 3799 DO - 10.1103/PhysRevD.12.3793 ER -
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