Generalized general and special relativity in the presence of the gravitation, related to the space-time curvature

Affiliation(s)

Department of Physics, Faculty of Education, Al-Zaiem Al-Azhari University, Omdurman, Sudan;.

Department of Physics, Faculty of Science, Sudan University of Science and Technology, Khartoum, Sudan.

Department of Physics, Faculty of Science and Arts at Unizah, Qassim University, Unizah, Saudi Arabia.

Department of Physics, Faculty of Science and Arts at Al-Muznib, Qassim University, Al-Muznib, Saudi Arabia.

Department of Physics, Faculty of Education, Al-Zaiem Al-Azhari University, Omdurman, Sudan;.

Department of Physics, Faculty of Science, Sudan University of Science and Technology, Khartoum, Sudan.

Department of Physics, Faculty of Science and Arts at Unizah, Qassim University, Unizah, Saudi Arabia.

Department of Physics, Faculty of Science and Arts at Al-Muznib, Qassim University, Al-Muznib, Saudi Arabia.

ABSTRACT

Using the equation of motion expression in a curved space proper time is a useful method to explain the relation between the curvature of space-time and the potential of any field obtained. Taking into account the expression for the Hamiltonian density, the effect of fields, as well as the effect motion, on the mass, and, their effect on energy is found. The new expression of energy reduced to the ordinary Newton’s energy expression. It also explains the gravitational red shift.

Using the equation of motion expression in a curved space proper time is a useful method to explain the relation between the curvature of space-time and the potential of any field obtained. Taking into account the expression for the Hamiltonian density, the effect of fields, as well as the effect motion, on the mass, and, their effect on energy is found. The new expression of energy reduced to the ordinary Newton’s energy expression. It also explains the gravitational red shift.

Cite this paper

Hilo, M. , Allah, M. , Haroon, K. and Elrahman, A. (2012) Generalized general and special relativity in the presence of the gravitation, related to the space-time curvature.*Natural Science*, **4**, 336-339. doi: 10.4236/ns.2012.45046.

Hilo, M. , Allah, M. , Haroon, K. and Elrahman, A. (2012) Generalized general and special relativity in the presence of the gravitation, related to the space-time curvature.

References

[1] Silvast, W.T. (1999) Laser fundamentals. 2nd Edition, Cambridge University Press, Cambridge.

[2] Yariv, A. (1987) Quantum electronics. 3rd Edition, John Wiley & Sons, New York.

[3] Ghoshal, S.N. (2004) Atomic physics. 5th Edition, S. Chand & Co, New Delhi.

[4] Savickas, D. (2003) Relations between Newtonian Mechanics, general relativity, and quantum mechanics. American Journal of Physics, 70, 798-806.

[5] Jaroszynski, D.A., et al. (1995) Free-electron laser efficiency enhancement, gain enhancement, and spectral control using a step-tapered undulator. Physical Review Letters, 74, 2224-2227.

[6] Schiff, C.I. (1984) Quantum mechanics. McHill Company, Tokyo.

[7] Hilo, M.H.M., et al. (2011) Using of the generalized special relativity in estimating the proton (nucleon) mass to explain the mass defect. Natural Science, 3, 141-144. doi:10.4236/ns.2011.32020

[8] Hilo, M.H.M. (2011) Using of the generalized special relativity in estimating the neutrino masses to explain the conversion of electron neutrinos. Natural Science, 3, 334-338. doi:10.4236/ns.2011.34044

[9] Hilo, M.H.M. (2011) Using of the generalized special relativity in deriving the equation of the gravitational red shift. Journal of Modern Physics, 2, 370-373. doi:10.4236/jmp.2011.25045

[1] Silvast, W.T. (1999) Laser fundamentals. 2nd Edition, Cambridge University Press, Cambridge.

[2] Yariv, A. (1987) Quantum electronics. 3rd Edition, John Wiley & Sons, New York.

[3] Ghoshal, S.N. (2004) Atomic physics. 5th Edition, S. Chand & Co, New Delhi.

[4] Savickas, D. (2003) Relations between Newtonian Mechanics, general relativity, and quantum mechanics. American Journal of Physics, 70, 798-806.

[5] Jaroszynski, D.A., et al. (1995) Free-electron laser efficiency enhancement, gain enhancement, and spectral control using a step-tapered undulator. Physical Review Letters, 74, 2224-2227.

[6] Schiff, C.I. (1984) Quantum mechanics. McHill Company, Tokyo.

[7] Hilo, M.H.M., et al. (2011) Using of the generalized special relativity in estimating the proton (nucleon) mass to explain the mass defect. Natural Science, 3, 141-144. doi:10.4236/ns.2011.32020

[8] Hilo, M.H.M. (2011) Using of the generalized special relativity in estimating the neutrino masses to explain the conversion of electron neutrinos. Natural Science, 3, 334-338. doi:10.4236/ns.2011.34044

[9] Hilo, M.H.M. (2011) Using of the generalized special relativity in deriving the equation of the gravitational red shift. Journal of Modern Physics, 2, 370-373. doi:10.4236/jmp.2011.25045