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Prog. Theor. Phys. Vol. 47 No. 2 (1972) pp. 416-443

[ Full Text PDF : FREE ACCESS (1526K) ]

Non-Linear Theory of Gravitational Instability in the Expanding Universe. III

Kenji Tomita

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken

(Received August 7, 1971)

Abstract:

First it is indicated that, at the radiation-dominated stage of the expanding universe, two ways should be distinguished for the evolution of the second-order density waves most naturally associated with the first-order rotational and gravitational waves, and the behavior of an isolated eddy is examined for a comparison with those of periodically distributed eddies.
Next the second-order waves associated with rotational, density and their mixed waves at the intermediate stage (before and after the decoupling epoch tD) are analyzed and the rapidity of compression due to the inertial force appearing soon after tD is calculated.
Finally the possibility of galaxy formation is examined on the basis of the above analysis. Moreover a possibility for comparatively small galaxies to be formed through the cascade due to non-linear process is considered.


URL : http://ptp.ipap.jp/link?PTP/47/416/
DOI : 10.1143/PTP.47.416

[ Full Text PDF : FREE ACCESS (1526K) ] Citation:

References:

  1. K. Tomita, Prog. Theor. Phys. 37 (1967), 831[PTP].
  2. K. Tomita, Prog. Theor. Phys. 45 (1971), 1747[PTP].
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  13. H. Nariai, K. Tomita and S. Kato, Prog. Theor. Phys. 37 (1967), 60[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1503-1516 :
    Primordial Irregularities in the Early Universe
    Kenji Tomita
  2. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1770-1772 :
    The Sound Generated by Cosmic Turbulence and the Origin of Galaxies
    Takuya Matsuda, Hidenori Takeda and Humitaka Sato
  3. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 472-487 :
    On the Generatin of Sound from the Primordial Turbulence in an Expanding Universe
    Hidekazu Nariai
  4. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1285-1301 :
    Element Formation in a Chaotic Early Universe
    Kenji Tomita
  5. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 719-729 :
    On the Acoustic Decay of Primordial Cosmic Turbulence
    Kenji Tanabe, Hidekazu Nariai, Takuya Matsuda and Hidenori Takeda
  6. Progress of Theoretical Physics Vol. 59 No. 4 (1978) pp. 1150-1169 :
    On Inhomogeneous Cosmological Models Containing Space-Like and Time-Like Singularities Alternately
    Kenji Tomita
  7. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1093-1106 :
    Galaxy Formation in the Neutrino Dominated Universe
    Kenji Tomita
  8. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 828-841 :
    Large-Scale Anisotropy of the Cosmic Background Radiation Due to Primordial Density and Gravitational-Wave Perturbations
    Kenji Tomita and Kenji Tanabe
  9. Progress of Theoretical Physics Vol. 117 No. 1 (2007) pp. 17-74 :
    Second-Order Gauge Invariant Cosmological Perturbation Theory
    Kouji Nakamura

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