Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift

Author(s)
Mahmoud Hamid Mahmoud Hilo

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.

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.

Cite this paper

nullM. Hilo, "Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift,"*Journal of Modern Physics*, Vol. 2 No. 5, 2011, pp. 370-373. doi: 10.4236/jmp.2011.25045.

nullM. Hilo, "Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift,"

References

[1] G. F. Lewis, et al. “Cosmological Radar Ranging in an Expanding Universe,” Monthly Notices of the Royal Astronomical Society, Vol. 388, No. 3, 2008, pp. 960-964. doi:10.1111/j.1365-2966.2008.13477.x

[2] T. Koupelis and K. F. Kuhn, “In Quest of the Universe,” 5th Edition, Jones & Bartlett Publishers, Sudbury, 2007, p. 557.

[3] O. D. Jefimenko, “Electromagnetic Retadration, and Theory and Relativity,” 2nd Edition, 2005.

[4] M. H. M. Hilo, et al. “Using of the Generalized Special Relativity in Estimating the Proton (Nucleon) Mass to Explain the Mass Defect,” Natural Science, Vol. 3, No. 2, pp. 141-144. doi:10.4236/ns.2011.32020

[5] F. L. Derek, “An Introduction to Tensor Calculus and Relativity,” 3rd Edition, John Wiley & Sons Ltd., New York, 1982, pp. 5-6.

[6] S. Weinberg, “Gravitation and Cosmology,” 3rd Edition, John Wiley & Sons Ltd., New York, 1972, p. 688.

[7] R. F. Evans and J. Dunning-Davies, “The Gravitational Red-Shift,” University of Hull, England, 2004, p. 3.

[8] R. C. Tolman, “Relativity, Thermodynamics and Cosmology,” 1st Edition, Oxford University Press, Oxford, 1934, p. 591.

[9] R. Adler, M. Bazin and M. Schiffer, “Introduction to General Relativity,” 2nd Edition, McGraw-Hill, New York, 1975.

[1] G. F. Lewis, et al. “Cosmological Radar Ranging in an Expanding Universe,” Monthly Notices of the Royal Astronomical Society, Vol. 388, No. 3, 2008, pp. 960-964. doi:10.1111/j.1365-2966.2008.13477.x

[2] T. Koupelis and K. F. Kuhn, “In Quest of the Universe,” 5th Edition, Jones & Bartlett Publishers, Sudbury, 2007, p. 557.

[3] O. D. Jefimenko, “Electromagnetic Retadration, and Theory and Relativity,” 2nd Edition, 2005.

[4] M. H. M. Hilo, et al. “Using of the Generalized Special Relativity in Estimating the Proton (Nucleon) Mass to Explain the Mass Defect,” Natural Science, Vol. 3, No. 2, pp. 141-144. doi:10.4236/ns.2011.32020

[5] F. L. Derek, “An Introduction to Tensor Calculus and Relativity,” 3rd Edition, John Wiley & Sons Ltd., New York, 1982, pp. 5-6.

[6] S. Weinberg, “Gravitation and Cosmology,” 3rd Edition, John Wiley & Sons Ltd., New York, 1972, p. 688.

[7] R. F. Evans and J. Dunning-Davies, “The Gravitational Red-Shift,” University of Hull, England, 2004, p. 3.

[8] R. C. Tolman, “Relativity, Thermodynamics and Cosmology,” 1st Edition, Oxford University Press, Oxford, 1934, p. 591.

[9] R. Adler, M. Bazin and M. Schiffer, “Introduction to General Relativity,” 2nd Edition, McGraw-Hill, New York, 1975.