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Prog. Theor. Phys. Vol. 43 No. 2 (1970) pp. 334-346

The Optical Appearance of a Collapsing Star in Terms of the Scalar-Tensor Theory of Gravitation

Hidekazu Nariai

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

(Received September 8, 1969)

Abstract:

The optical appearance of a collapsing star in terms of the scalar-tensor theory of gravitation is studied in comparison with Ames and Thorne's general relativistic treatment. It is shown that the expressions for the spectral shift, the intensity and the net flux in the rim region of its optical disk which is brightest and bluest are qualitatively of the same form as their counterparts in Ames and Thorne's analysis. This means that the optical appearance is not so different from that predicted by them, in spite of the fact that the hypersurface R = 2M is observable to a distant observer in our space-time. For the observational test of the scalar-tensor theory relative to the general theory of relativity, it is more preferable to examine both the time dependence of the spectral shift z(T₀) and the z-dependence of the intensity I(z) for the radiation emitted from the central region of the optical disk.

URL : http://ptp.ipap.jp/link?PTP/43/334/
DOI : 10.1143/PTP.43.334

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References:

1. H. Nariai, Prog. Theor. Phys. 42 (1969), 742[PTP].
2. C. Brans, Phys. Rev. 125 (1962), 1228[APS].
3. C. Brans and R. H. Dicke, Phys. Rev. 124 (1961), 925[APS].
4. Ya. B. Zel'dovich and I. D. Novikov, Sov. Phys. -Doklady 9 (1964), 373.
5. M. A. Podurets, Sov. Astron. -AJ 8 (1965), 858.
6. W. L. Ames and K. S. Thorne, Astrophys. J. 151 (1968), 659[CrossRef].
7. R. d'E. Atkinson, Astron. J. 70 (1965), 517.
8. K. S. Thorne, Relativistic Stellar Structure and Dynamics, High Energy Astrophysics III, edited by DeWitt, Schatzman and Veron (Gordon and Breach, 1967).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 832-844 :

   Hydrodynamical Equations for a Collapsing Object with Spherical Symmetry in Terms of the Scalar-Tensor Theory of Gravity

   Hidekazu Nariai

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. 4 (1973) pp. 1195-1204 :

   Hydrodynamic Calculations of Spherical Gravitational Collapse in the Scalar-Tensor Theory of Gravity

   Takuya Matsuda and Hidekazu Nariai

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