Geoids in general relativity: Geoid quasilocal frames

Abstract : We develop, in the context of general relativity, the notion of a geoid – a surface of constant “gravitational potential”. In particular, we show how this idea naturally emerges as a specific choice of a previously proposed, more general and operationally useful construction called a quasilocal frame – that is, a choice of a two-parameter family of timelike worldlines comprising the worldtube boundary of the history of a finite spatial volume. We study the geometric properties of these geoid quasilocal frames, and construct solutions for them in some simple spacetimes. We then compare these results – focusing on the computationally tractable scenario of a non-rotating body with a quadrupole perturbation – against their counterparts in Newtonian gravity (the setting for current applications of the geoid), and we compute general-relativistic corrections to some measurable geometric quantities.
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Communication dans un congrès
14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Jul 2015, Rome, Italy. 4, pp.3682-3687, 2017, 〈10.1142/9789813226609_0480〉
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https://hal.archives-ouvertes.fr/hal-01669682
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Soumis le : mercredi 20 décembre 2017 - 23:59:52
Dernière modification le : mercredi 3 octobre 2018 - 01:22:58

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Marius Oltean, Richard Epp, Paul Mcgrath, Robert Mann. Geoids in general relativity: Geoid quasilocal frames. 14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Jul 2015, Rome, Italy. 4, pp.3682-3687, 2017, 〈10.1142/9789813226609_0480〉. 〈hal-01669682〉

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