Cosmological time evolution in the Newtonian dynamics of compact celestial bodies

Mathematics – Logic

Scientific paper

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Celestial Bodies, Cosmology, Newton Theory, Relativity, Equations Of Motion, Gravitation Theory

Scientific paper

Compact body gravitational clocks and rules involving orbital dynamics of bodies possessing substantial gravitational self-energy are examined. The new physics that can be measured in such compact body systems when they are compared to the other spacetime standards is modeled, and new nonperturbative, but rather cosmological, constraints are formulated that can be placed on gravitational theory by the intercomparisons between different spacetime standards. Using empirical bounds on anomalous orbital period evolution for the binary pulsar system PSR 1913 + 16, a limit can be placed on time evolution of the PPN coefficients gamma and beta of not greater than 5 x 10 exp -11/yr, which becomes an additional constraint on alternative gravitational theories in the nonperturbative cosmological domain, particularly on theories designed to duplicate general relativity at first perturbative post-Newtonian order yet differing finitely at higher orders.

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