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• W3105550630 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." @default.
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• W3105550630 date "2016-04-15" @default.
• W3105550630 modified "2023-09-23" @default.
• W3105550630 title "Geoids in general relativity: geoid quasilocal frames" @default.
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• W3105550630 doi "https://doi.org/10.1088/0264-9381/33/10/105001" @default.
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