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Prog. Theor. Phys. Vol. 90 No. 3 (1993) pp. 569-575
A Hidden Symmetry in the One-Dimensional Cosmological Model
Jiro Soda
Department of Physics, Faculty of General Education,
Ehime University, Matsuyama 790
(Received March 29, 1993)
Abstract:
We study the non-linear evolution of the one-dimensional self-gravitating system in the expanding universe. In particular, we gave an explicit expression for the perturbative solutions, which reproduce the Zeldovich exact solution properly. Then we found an infinite number of conserved quantities, which indicate the existence of a hidden symmetry. Those would strongly constrain the power transfer of the density field. The above symmetry might be useful for explaining the scaling behavior at the epoch of the singularity formation.
URL :
http://ptp.ipap.jp/link?PTP/90/569/
DOI : 10.1143/PTP.90.569
References:
- P. J. E. Peebles, The Large Scale-Structure of the Universe (Princeton Univ. Press, Princeton).
- H. Totsuji and T. Kihara, PASJ 21 (1969), 221.
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N. A. Bahcall and R. M. Soneira, Astrophys. J. 270 (1983), 20[CrossRef].
- Ya. B. Zel'dovich, Astrofizika 6 (1970), 119.
- T. Nakamura, Prog. Theor. Phys. 73 (1985), 657[PTP].
- N. Gouda and T. Nakamura, Prog. Theor. Phys. 79 (1988), 765[PTP].
- V. I. Arnold, Functional Anal. Appl. 6 (1972), 254.
V. I. Arnold, S. F. Shandarin and Ya. B. Zeldovich, Geophys. Astrophys. Fluid Dynamics 20 (1982), 111.
- P. J. Olver, Application of Lie Groups to Differential Equations (Springer, Berlin, 1986).
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J. Soda and Y. Suto, Astrophys. J. 396 (1992), 379[CrossRef].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 95 No. 1 (1996) pp. 51-63
:
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Nonlinear Self-Modulation in Newtonian Gravity
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Yoshi Fujiwara and Jiro Soda
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Progress of Theoretical Physics Vol. 95 No. 6 (1996) pp. 1059-1077
:
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Wavelet Analysis of One-Dimensional Cosmological Density Fluctuations
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Yoshi Fujiwara and Jiro Soda
