The Generalized Newton’s Law of Gravitation Versus the General Theory of Relativity

ABSTRACT

Einstein general theory of relativity (GTR) accounted well for the precession of the perihelion of planets and binary pulsars. While the ordinary Newton law of gravitation failed, a generalized version yields similar results. We have shown here that these effects can be accounted for as due to the existence of gravitomagnetism only, and not necessarily due to the curvature of space time. Or alternatively, gravitomagnetism is equivalent to a curved space-time. The precession of the perihelion of planets and binary pulsars may be interpreted as due to the spin of the orbiting planet (m) about the Sun (M). The spin (S) of planets is found to be related to their orbital angular momentum (L) by a simple formula, viz., S (m/M)L.

Einstein general theory of relativity (GTR) accounted well for the precession of the perihelion of planets and binary pulsars. While the ordinary Newton law of gravitation failed, a generalized version yields similar results. We have shown here that these effects can be accounted for as due to the existence of gravitomagnetism only, and not necessarily due to the curvature of space time. Or alternatively, gravitomagnetism is equivalent to a curved space-time. The precession of the perihelion of planets and binary pulsars may be interpreted as due to the spin of the orbiting planet (m) about the Sun (M). The spin (S) of planets is found to be related to their orbital angular momentum (L) by a simple formula, viz., S (m/M)L.

Cite this paper

Arbab, A. (2012) The Generalized Newton’s Law of Gravitation Versus the General Theory of Relativity.*Journal of Modern Physics*, **3**, 1231-1235. doi: 10.4236/jmp.2012.329159.

Arbab, A. (2012) The Generalized Newton’s Law of Gravitation Versus the General Theory of Relativity.

References

[1] A. I. Arbab, “The Gravitomagnetism: A Novel Explanation of the Precession of Planets and Binary Pulsars,” Astrophysics and Space Science, Vol. 330, No. 1, 2010, pp. 61-68. doi:10.1007/s10509-010-0353-7

[2] S. Weinberg, “Gravitation and Cosmology,” John Wiley, New York, 1971.

[3] D. Griffiths, “Introduction to Electrodynamics,” PrenticeHall, Upper Saddle River, 1999.

[4] H. L. Malcolm, “Spin Dynamics,” John Wiley, New York, 2000.

[5] E. Rutherford, “The Scattering of α and β Particles by Matter and the Structure of the Atom,” Philosophical Magazine, Vol. 92, No. 4, 2012, pp. 379-398.

[6] T. Cheng, “Relativity, Gravitation, and Cosmology,” Oxford University Press, Oxford, 2005, p. 108,.

[7] A. I. Arbab, “The generalized Newton’s Law of Gravitation,” Astrophysics and Space Science, Vol. 325, No. 1, 2010, pp. 37-40. doi:10.1007/s10509-009-0145-0

[8] L. H. Thomas, “The Motion of the Spinning Electron,” Nature, Vol. 117, No. 2945, 1926, pp. 514. doi:10.1038/117514a0

[9] A. I. Arbab, “A Phenomenological Model for the Precession of Planets and Bending of Light,” Astrophysics and Space Science, Vol. 325, No. 1, 2010, pp. 41-45. doi:10.1007/s10509-009-0146-z

[10] A. I. Arbab, “On the Gravitational Radiation of Gravitating Objects,” Astrophysics and Space Science, Vol. 323, No. 2, 2010, pp. 181-184. doi:10.1007/s10509-009-0058-y

[11] A. I. Arbab, “The Analogy between Electromagnetism and Hydrodynamics,” Physics Essays, Vol. 24, No. 2, 2011, pp. 254-259. doi:10.4006/1.3570825

[12] S. Goudsmit and G. E. Uhlenbeck, “Over Het Roteerende Electron En de Structuur der Spectra,” Physica, Vol. 6, 1926, pp. 273-290.

[1] A. I. Arbab, “The Gravitomagnetism: A Novel Explanation of the Precession of Planets and Binary Pulsars,” Astrophysics and Space Science, Vol. 330, No. 1, 2010, pp. 61-68. doi:10.1007/s10509-010-0353-7

[2] S. Weinberg, “Gravitation and Cosmology,” John Wiley, New York, 1971.

[3] D. Griffiths, “Introduction to Electrodynamics,” PrenticeHall, Upper Saddle River, 1999.

[4] H. L. Malcolm, “Spin Dynamics,” John Wiley, New York, 2000.

[5] E. Rutherford, “The Scattering of α and β Particles by Matter and the Structure of the Atom,” Philosophical Magazine, Vol. 92, No. 4, 2012, pp. 379-398.

[6] T. Cheng, “Relativity, Gravitation, and Cosmology,” Oxford University Press, Oxford, 2005, p. 108,.

[7] A. I. Arbab, “The generalized Newton’s Law of Gravitation,” Astrophysics and Space Science, Vol. 325, No. 1, 2010, pp. 37-40. doi:10.1007/s10509-009-0145-0

[8] L. H. Thomas, “The Motion of the Spinning Electron,” Nature, Vol. 117, No. 2945, 1926, pp. 514. doi:10.1038/117514a0

[9] A. I. Arbab, “A Phenomenological Model for the Precession of Planets and Bending of Light,” Astrophysics and Space Science, Vol. 325, No. 1, 2010, pp. 41-45. doi:10.1007/s10509-009-0146-z

[10] A. I. Arbab, “On the Gravitational Radiation of Gravitating Objects,” Astrophysics and Space Science, Vol. 323, No. 2, 2010, pp. 181-184. doi:10.1007/s10509-009-0058-y

[11] A. I. Arbab, “The Analogy between Electromagnetism and Hydrodynamics,” Physics Essays, Vol. 24, No. 2, 2011, pp. 254-259. doi:10.4006/1.3570825

[12] S. Goudsmit and G. E. Uhlenbeck, “Over Het Roteerende Electron En de Structuur der Spectra,” Physica, Vol. 6, 1926, pp. 273-290.