Prog. Theor. Phys. Vol. 32 No. 5 (1964) pp. 837-843

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Model-Universes in Hoyle's Cosmology. II

— The World-Line of Fluid Matter —

Hidekazu Nariai

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

(Received June 16, 1964)

Abstract:

The world-line of fluid matter in Hlyle's (1963) cosmology is derived from Hoyle-Narlikar's field equations themselves in order to see if the co-moving nature of the coordinates, which was assumed in the previous paper [I], in the Robertson-Walker metric is consistent with the world-line of fluid matter to be derived in such a manner. The answer is affirmative with a certain proviso. It is also revealed that there is an intimate connection between the behavior of the world-line thus derived and the classification of permissible model-universes studied in [I]. We also touch upon the problem of a test particle in an empty region which is regarded as the gravitational field accompanied by the creation-field.

URL : http://ptp.ipap.jp/link?PTP/32/837/
DOI : 10.1143/PTP.32.837

References:

H. Nariai, Prog. Theor. Phys. 32 (1964), 450[PTP].
F. Hoyle and J. V. Narlikar, Proc. R. Soc. A 273 (1963), 1.
A. K. Raychudhuri and S. Banerji, Z. Astrophys. 58 (1964), 187.
A. Einstein, The Meaning of Relativity, (Princeton, 1955) Appendix II.
L. Infeld and A. Schild, Rev. Mod. Phys. 21 (1949), 408[APS].
A. Papapetrou, Proc. R. Soc. A 209 (1951), 248; ibid. 209 (1951), 259.
V. Fock, The Theory of Space, Time and Gravitation (Pergamon Press, London, 1959).
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Citing Article(s) :

Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 322-333 :
On the Gravito-C-Field in an Empty Region with Spherical Symmetry

Hidekazu Nariai and Kenji Tomita
Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 433-438 :
On the Removal of Initial Singularity in a Big-Bang Universe in Terms of a Renormalized Theory of Gravitation. I

Hidekazu Nariai
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
Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1365-1371 :
Mach's Principle and Matter Production Process in Non-Steady State Cosmological Model

Fernando M. Gomide and Mituo Uehara