Author(s)

M. H. M. Hilo, M. D. Abd Allah, Kh. M. Haroon, A. H. Abd Elrahman

Department of Physics, Faculty of Education, Al-Zaiem Al-Azhari University, Omdurman, Sudan;.
Department of Physics, Faculty of Science and Arts at Al-Muznib, Qassim University, Al-Muznib, Saudi Arabia.
Department of Physics, Faculty of Science and Arts at Unizah, Qassim University, Unizah, Saudi Arabia.
Department of Physics, Faculty of Science, Sudan University of Science and Technology, Khartoum, Sudan.

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.

Space-Time; Curvature; Generalized; Gravitation; Red-Shift

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.