A nonmetric lorentz-covariant theory of gravitation with spatial anisotropy

Physics

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Scientific paper

Gravitational field equations and an equation of motion for particles are constructed in a space with the Minkowski metric tensor on the basis of the most general Lagrangian for a spin-2 gravitational field which leads to a linear field equation. The retarded and advanced potentials are determined for an arbitrarily moving particle. Calculations are made of the motion of the perihelion of planets, the deflection of light rays in the field of the sun, the retardation of radar signals reflected from planetary surfaces, and the red shift in the levels of the hydrogen atom. An equation of motion is constructed for a particle in an external gravitational field with allowance for radiation reaction. The magnitude of the radiation reaction is determined by means of the retarded and advanced solutions using the methods of electrodynamics.

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