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Prog. Theor. Phys. Vol. 72 No. 6 (1984) pp. 1137-1145
Nonlinear Evolution of Negative Density Perturbations in a Radiation-Dominated Universe
Yasushi Suto,
Katsuhiko Sato and
Humitaka Sato*
Department of Physics, Ther University of Tokyo, Tokyo 113
*Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
(Received July 23, 1984)
Abstract:
Evolution of the negative density fluctuations in the niverse is investigated numerically in a general relativistic method. Small scale perturbations are smoothed out by the dissipation effects as is described in the linear theory. Larger ones, however, develop into the nonlinear evolution stage and peculiar general relativistic spacetime structure–“bottle neck” structure–is formed. Criterion of the formation of this structure is derived. This structure may provide the general relativistic final state for the nonlinear negative density perturbations as well as the black hole for the positive ones.
URL :
http://ptp.ipap.jp/link?PTP/72/1137/
DOI : 10.1143/PTP.72.1137
References:
- Y. Suto, K. Sato and H. Sato, Prog. Theor. Phys. 71 (1984), 938[PTP].
- S. Weinberg, Gravitation and Cosmology (New York, Wiley 1972).
- P. J. E. Peebles, The Large-Scale Structure of the Universe (Princeton, Princeton University Press, 1980).
-
Y. Hoffman and J. Shaham, Astrophys. J. 262 (1982), L23[CrossRef].
-
G. L. Hoffman, E. E. Salpeter and I. Wasserman, Astrophys. J. 268 (1983), 527[CrossRef].
-
M. A. Hausman, D. W. Olson and B. D. Roth, Astrophys. J. 270 (1983), 351[CrossRef].
- P. L. Palmer and N. Voglis, Mon. Not. R. Astr. Soc. 205 (1983), 543.
- S. Ikeuchi and M. Umemura, Prog. Theor. Phys. 72 (1984), 216[PTP].
-
P. J. E. Peebles and J. T. Yu, Astrophys. J. 162 (1970), 815[CrossRef].
-
M. M. May and R. N. White, Phys. Rev. 141 (1966), B1232[APS].
- M. M. May and R. N. White, Methods in Computational Physics Vol. 7 (Academic Press, New York and London, 1967), p. 219.
- T. Matsuda and H. Sato, Prog. Theor. Phys. 41 (1969), 1021[PTP].
- K. Maeda and H. Sato, Prog. Theor. Phys. 70 (1983), 1276[PTP].
- M. Fujimoto, Publ. Astro. Soc. Jpn 35 (1983), 159.
- B. J. Carr and S. W. Hawking, Mon. Not. R. Astr. Soc. 168 (1974), 399.
- C. W. Misner, Gravitational Collapse, in Astrophysics and General Relativity, ed. M. Chretien, S. Deser and J. Goldstein (Gordon and Breach, New York, 1969).
- C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (New York, W. H. Freeman, 1973).
Citing Article(s) :
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Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1151-1164
:
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Dynamical Evolution of Isothermal Density Perturbations in the Early Universe
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Yasushi Suto, Katsuhiko Sato and Hideo Kodama
