Physics
Scientific paper
Mar 1968
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1968pthph..39..601n&link_type=abstract
Progress of Theoretical Physics, Vol. 39, No. 3, pp. 601-618
Physics
3
Scientific paper
As a sequel to previous papers on a bouncing or pulsating relativistic field sphere, we discuss the spectral shift z of light rays which are emitted from the surface of the pulsating sphere and to be received by a distant observer at rest in the exterior Schwarzschild region. The relation between z and the observer's proper time τ is numerically analyzed for various models corresponding to different sets of four parameters, (M, e, S_1, S_2), which specify the total mass, the degree of non-homogeneity of the density distribution, the minimum and maximum sizes of the pulsating object, respectively. The relation between the period-density and the adiabatic exponent is also examined in connection with Eddington's pulsation theory of variable stars.
Hayakawa Masahiko
Nariai Hidekazu
Tomita Kenji
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