On a Lorentz-invariant theory of gravitation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Gravitation Theory, Invariance, Lorentz Transformations, Particle Motion, Relativity, Equations Of Motion, Grazing, Hamiltonian Functions, Light Speed, Partial Differential Equations, Perihelions, Red Shift

Scientific paper

A Lorentz-invariant gravitational theory and a Lorentz-invariant Hamiltonian for a particle in the gravitational field are developed, and the relevant equations of motion are studied. The theory is applied to three well-known tests and is in full agreement with experimental results. In particular, for light grazing the sun, the theory gives a deflection of 2.19 seconds (experimentally expected, approximately 2.2 seconds) in contrast to the general theory of relativity which gives 1.75 seconds.

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