Abstract
In this work we present a study of a new method to prove the equation of the gravitational red shift of spec-tral lines. That’s according to the generalized special relativity theory. The equation of the gravitational red shift of spectral lines has been studied in many different works, using different methods depending on the Newtonian mechanics, and other theories. Although attention was drawn to the fact that the well-known ex-pression of the gravitational Red-Shift of spectral lines may be derived with no recourse to the general rela-tivity theory! In this study a unique derivation has been done using the Generalized Special Relativity (GSR) and the same result obtained.
Highlights
IntroductionLight or other forms of electromagnetic radiations of a certain wavelength originating from a source placed in a region of strong gravitational field (and which could be said to have climbed “uphill” out of the gravity well) will be found to be longer wavelength when received by observer in a region of weak gravitational field [1]
In physics, light or other forms of electromagnetic radiations of a certain wavelength originating from a source placed in a region of strong gravitational field will be found to be longer wavelength when received by observer in a region of weak gravitational field [1]
This study introduces a new method to obtain the same result of the Gravitational Red-Shift using the Generalized Special Relativity theory, (GSR) by adopting the approximation of the gravitational potential
Summary
Light or other forms of electromagnetic radiations of a certain wavelength originating from a source placed in a region of strong gravitational field (and which could be said to have climbed “uphill” out of the gravity well) will be found to be longer wavelength when received by observer in a region of weak gravitational field [1]. If we apply to optical wave-lengths this manifests itself as a change in the color of the light, the wavelength is shifted towards the red (making it less energetic, longer in wavelength, and lower in frequency) part of the spectrum. This effect is called the gravitational red shift, and the other spectral lines found in the light, will be shifted towards the longer wavelength, or red end of the spectrum. This study introduces a new method to obtain the same result of the Gravitational Red-Shift using the Generalized Special Relativity theory, (GSR) by adopting the approximation of the gravitational potential
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