Minimally relativistic Newtonian gravity

Details Minimally relativistic Newtonian gravity Minimally relativistic Newtonian gravity

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988amjph..56.1032b&link_type=abstract

American Journal of Physics, Volume 56, Issue 11, pp. 1032-1036 (1988).

Physics

4

Special Relativity, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Special relativity is introduced into the theory of Newtonian gravity in a systematic manner. The modifications of Newtonian gravity that are made can be seen to be minimal for special relativistic covariance. Space is assumed to be flat. Particle trajectories are determined from a Hamiltonian formulation with a tensor potential hμν. The tensor nature of the potential is justified by requiring Lorentz covariance alone. Nongeneral relativistic field equations for the hμν are obtained. The static, spherically symmetric solutions of these equations are shown to produce the correct values for the precession of the orbit of Mercury and the bending of light near the Sun.

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