File:Lapse shift.png: Difference between revisions
(A coordinate grid of space-time into slices of constant time coordinates (grey). At a point (black circle), the lapse function (yellow) shows how far into the future that point will be projected in a unit amount of proper time experienced by an observer initially at the point. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a set of poi...) |
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== Summary == | == Summary == | ||
A | A folliation of space-time into slices of constant time coordinates (grey). At an event (black circle), the lapse function (yellow) shows how far into the future the point at that event will be projected in a unit amount of proper time experienced by an observer initially at the event. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a foliation of spacetime at the same time coordinate; after unit proper time, the events on the lower foliation get projected to the curved upper black foliation according to the shift vectors and lapse functions at each of their respective points. | ||
Latest revision as of 11:31, 26 July 2026
Summary
A folliation of space-time into slices of constant time coordinates (grey). At an event (black circle), the lapse function (yellow) shows how far into the future the point at that event will be projected in a unit amount of proper time experienced by an observer initially at the event. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a foliation of spacetime at the same time coordinate; after unit proper time, the events on the lower foliation get projected to the curved upper black foliation according to the shift vectors and lapse functions at each of their respective points.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:25, 26 July 2026 |  | 389 × 195 (31 KB) | Lwcamp (talk | contribs) | A coordinate grid of space-time into slices of constant time coordinates (grey). At a point (black circle), the lapse function (yellow) shows how far into the future that point will be projected in a unit amount of proper time experienced by an observer initially at the point. The shift vector (red) shows how that point changes coordinates after the unit amount of proper time. The cyan vector shows the new coordinates the point is projected onto. The lower black surface indicates a set of poi... |
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