Abstract
Newtonian gravity is modified minimally to obtain a Lorentz covariant theory of gravity in a background flat space. Gravity is assumed to appear as a potential. Constraint Hamiltonian dynamics is used to determine particle trajectories in a manifestly covariant fashion. The resulting theory is significantly different from the general theory of relativity. However, all known experimental results (precession of planetary orbits, bending of the path of light near the sun, and gravitational spectral shift) are still explained by this theory.
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Biswas, T. Special relativistic Newtonian gravity. Found Phys 24, 513–524 (1994). https://doi.org/10.1007/BF02058061
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DOI: https://doi.org/10.1007/BF02058061