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Participant |
Oltean, Marius | |||||||
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Institution |
University of Waterloo - 200 University Avenue West - Waterloo - Ontario - Canada | |||||||
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Session |
PT5 |
Accepted |
Yes |
Order |
1 |
Time |
14:35 | 15' |
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Talk |
Oral abstract |
Title |
Geoids in General Relativity: Geoid Quasilocal Frames | |||||
| Coauthors | Epp, Richard J.; McGrath, Paul L.; Mann, Robert B. | |||||||
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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 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 compare these results to their counterparts in Newtonian gravity and compute general relativistic corrections to some measurable geometric quantities. |
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