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- W160714105 abstract "High precision astrometry, space missions and certain tests of General Relativity, require the knowledge of the metric tensor of the solar system, or more generally, of a gravitational N-body system. This paper deals with the post-Minkowskian approximation of such a metric tensor in some asymptotically flat space-time, where the full multipole structure, i.e., mass- and spin-multipole moments, of the N bodies will be taken into account. The metric of arbitrarily shaped, rotating, oscillating and arbitrarily moving bodies of finite extension is presently only known for the case of slowly moving bodies in the post-Newtonian approximation. Presently, the post-Minkowskian metric for arbitrarily moving celestial objects is known only for pointlike bodies with mass-monopoles and spin-dipoles. This paper deals with two central issues: (1) We first consider a single body with full multipole structure in uniform motion in some suitably chosen global reference system. For this problem a co-moving inertial system of coordinates can be introduced where the metric, outside the body, admits an expansion in terms of Damour-Iyer moments. A Poincare transformation then yields the corresponding metric tensor in the global system. For the gravitational N body system the metric is obtained by a sum over all bodies of the system. (2) It will be argued why the global metric, exact to post-Minkowskian order, can be obtained by means of an instantaneous Poincare transformation for the case of pointlike mass-monopoles and spin-dipoles in arbitrary motion." @default.
- W160714105 created "2016-06-24" @default.
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- W160714105 date "2014-03-21" @default.
- W160714105 modified "2023-09-27" @default.
- W160714105 title "Gravitational field of N moving extended bodies in post-Minkowskian approximation" @default.
- W160714105 hasPublicationYear "2014" @default.
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