Abstract
In this paper, I analyze the redshift of receiving photons as observed by different external observers outside for known metrics which have astrophysical implications. It is introduced the known observer for stationary spacetime and calculated the redshift factor between them. For different observers, the local gravitational potential effect and cosmological effect in the redshift factor are analyzed. Finally, the redshift effects on the brightness temperature of the electromagnetic from astrophysical sources wave are investigated.
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