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7 - Post-Minkowskian and Post-Newtonian Approximations

from Part II - General Relativity: Globally Hyperbolic Einstein Space-Times

Published online by Cambridge University Press:  17 June 2019

Luca Lusanna
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Firenze
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Summary

The post-Minkowskian limit of ADM tetrad gravity in the 3-orthogonal gauges of the non-inertial rest-frames is defined with particles and the electromagnetic field as matter. Then, the post-Newtonian expansion of the post-Minkowskian linearization is studied. For binaries, the results are compatible with the standard one in harmonic gauges. However, there is the new result that a non-local version of the inertial gauge variable York time may explain many of the experimental data giving rise to the existence of dark matter, which would be reduced to a relativistic inertial effect to be treated by means of relativistic celestial metrology.

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Publisher: Cambridge University Press
Print publication year: 2019

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