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- W2036036595 abstract "The inner product provides a conceptually and algorithmically simple method for calculating the comoving distance between two cosmological objects given their redshifts, right ascension and declination, and arbitrary constant curvature. The key to this is that just as a distance between two points ‘on’ the surface of the ordinary 2-sphere 풮2 is simply an arc-length (angle multiplied by radius) in ordinary Euclidean 3-space ℰ3, the distance between two points ‘on’ a 3-sphere 풮3 (a 3-hyperboloid ℋ3) is simply an ‘arc-length’ in Euclidean 4-space ℰ4 (Minkowski 4-space ℳ4), i.e. an ‘hyper-angle’ multiplied by the curvature radius of the 3-sphere (3-hyperboloid)." @default.
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- W2036036595 date "2001-07-11" @default.
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- W2036036595 title "On the comoving distance as an arc-length in four dimensions" @default.
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- W2036036595 doi "https://doi.org/10.1046/j.1365-8711.2001.04392.x" @default.
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