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Prog. Theor. Phys. Vol. 46 No. 2 (1971) pp. 433-438

[ Full Text PDF : FREE ACCESS (500K) ]

On the Removal of Initial Singularity in a Big-Bang Universe in Terms of a Renormalized Theory of Gravitation. I

— Examination of the Present Status and a New Approach —

Hidekazu Nariai

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

(Received March 16, 1971)

Abstract:

The present status on the problem of initial singularity characteristic in any model-universe compatible with the cosmological interpretation of the 3°K black-body radiation is examined from the standpoints of both classical and quantum cosmologies. One of the most striking results in this problem will be Misner's result that quantum effects do not significantly modify the nature of initial singularity in relativistic cosmology, while there remains as yet some doubt as regards its universal validity. A new approach is, therefore, proposed, the essence of which lies in modifying the Einstein field equations in a physically reasonable manner on the basis of a renormalized theory of gravitation due to Utiyama and DeWitt.


URL : http://ptp.ipap.jp/link?PTP/46/433/
DOI : 10.1143/PTP.46.433

[ Full Text PDF : FREE ACCESS (500K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 776-786 :
    On the Removal of Initial Singularity in a Big-Bang Universe in Terms of a Renormalized Theory of Gravitation. II
    Hidekazu Nariai and Kenji Tomita
  2. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1824-1843 :
    Hamiltonian Approach to the Dynamics of Expanding Homogeneous Universes in the Brans-Dicke Cosmology
    Hidekazu Nariai
  3. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 165-180 :
    Gravitational Instability of Regular Model-Universes in a Modified Theory of General Relativity
    Hidekazu Nariai
  4. Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 1099-1100 :
    On the Viscous Damping of Gravitational and Rotational Waves in Any Regular Model-Universe Based on a Modified Theory of General Relativity
    Hidekazu Nariai and Kenji Tanabe
  5. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 613-627 :
    On a Phenomenological Modification of Einstein's Gravitational Lagrangian
    Hidekazu Nariai
  6. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 403-413 :
    On Anisotropic and Homogeneous Cosmological Models in the Renormalized Theory of Gravitation
    Kenji Tomita, Takahiro Azuma and Hidekazu Nariai
  7. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 739-746 :
    On a Quantized Scalar Field in an Isotropic Closed Universe
    Hidekazu Nariai
  8. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 83-97 :
    New Equation and Energy-Tensor of a Gravitational Field
    Ryoyu Utiyama

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