Prog. Theor. Phys. Vol. 33 No. 2 (1965) pp. 322-333
On the Gravito-C-Field in an Empty Region with Spherical Symmetry
Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken
(Received October 15, 1964)
In veiw of a possible relevance of the concept of the C-field introduced by Hoyle and Narlikar to the problem of quasi-stellar objects or collapsing stars, an attempt is made to study permissible solutions of their field equations in an empty region with spherical symmetry. Two special, i.e. static and pseudo-staticl, solutions are obtained and their characteristic properties are examined in the light of Hoyle-Narlikar's exterior but non-empty solution. As a result, it is revealed that the problem of boundary conditions has a crucial importance in the decision of superiority of either one among the three exterior solutions.
DOI : 10.1143/PTP.33.322
- H. Nariai, Prog. Theor. Phys. 32 (1964), 450[PTP]; ibid. 32 (1964), 837 [PTP](which are referred to as [I] and [II], respectively).
- F. Hoyle and J. V. Narlikar, Proc. R. Soc. A 273 (1963), 1.
- O. Heckmann, et al., Z. Astrophys. 28 (1951), 113.
- P. Jordan, Schwerkraft und Weltall (Braunschweig, 1955).
- F. Hoyle and J. V. Narlikar, Proc. R. Soc. A 278 (1964), 465.
J. R. Oppenheimer and H. Snyder, Phys. Rev. 56 (1939), 455[APS].
As for the implosion of super-massive stars, see the following paper:
F. Hoyle, W. A. Fowler, G. R. Burbidge and E. M. Burbidge, Astrophys. J. 139 (1964), 909[CrossRef].
- R. C. Tolman, Relativity, Thermodynamics and Cosmology (Oxford, 1950).
- S. van den Bergh, Z. Astrophys. 49 (1960), 198.
- F. Hoyle and W. A. Fowler, Month. Notices R. Astron. Soc. 125 (1963), 169;
Nature 197 (1963), 533[CrossRef].
W. A. Fowler, Rev. Mod. Phys. 36 (1964), 545[APS].
- L. Infeld and J. Plebański, Motion and Relativity (Pergamon Press, London, 1960).
V. Fock, The Theory of Space, Time and Gravitation (Pergamon Press, London, 1959).