On the Spectral Shift of Light Rays Emitted from a Pulsating Object

Physics

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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.

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