Second post-Newtonian order renormalization of first post-Newtonian order gravity in the solar system

Statistics – Computation

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Computational Astrophysics, Gravitational Effects, Newton Theory, Relativity, Solar System, Interstellar Matter, Mass Distribution

Scientific paper

Previous investigation of the general conservative, Lorentz-invariant gravitational interaction of compact bodies, in which the gravitational self-energy effects of the bodies are treated nonperturbatively, while the body dynamics is treated perturbatively at the first post-Newtonian order (Eardley, 1975; Nordtvedt, 1985), is generalized and corrected. The relationship between the renormalization effects and the specific structure of the second post-Newtonian order metric field expansion is developed. the concept of extended Lorentz invariance is used, in which the gravitational physics remains Lorentz invariant after rescalings due to distant spectator matter. A compact body gamma-mass is determined by its inertial mass and gravitational mass.

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