Toward higher order tests of the gravitational interaction

Details Toward higher order tests of the gravitational interaction Toward higher order tests of the gravitational interaction

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989nascp3046...51n&link_type=abstract

In NASA, Relativistic Gravitational Experiments in Space p 51-54 (SEE N90-19940 12-90)

Mathematics

Logic

Gravitational Effects, Gravitational Waves, Newton Theory, Photons, Relativity, Space-Time Functions, Angular Momentum, Conservation Laws, Equations Of Motion, Invariance, Lorentz Contraction, Many Body Problem, Metric Space, Pulsars, Solar System

Scientific paper

Analyses and interpretations of experiments which test post-Newtonian gravity are usually done under the assumption that gravity is a metric field phenomenon - a manifestation of space-time geometry. This, however, is unnecessary and one can start at a more primitive level - that there simply exists a phenomenological, gravitational, many-body equation of motion which must be determined by a package of observations. In fact, over the last couple decades, a diverse collection of solar system interbody tracking observations, supplemented by data from the binary pulsar system PSR 1913 + 16, has completely mapped out the first post-Newtonian order. After the fact, using empirically determined equations of motion, along with some observed properties of nongravitational clocks and rulers and conservation laws for energy, momentum and angular momentum, a post-Newtonian Lagrangian can be constructed, a geometrical space-time metric field conceptual interpretation can be developed, Lorentz invariance of the equations of motion can be shown, and the equations of motion are found to agree with the predictions of Einstein's gravitational theory, General Relativity, within experimental accuracy.

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