`Newtonian' Time in General Relativity

Physics

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Scientific paper

A RESULT recently given by Eisenhart1 suggests an interesting application in general relativity. According to it, we can choose co-ordinates in which a line element showing spherical symmetry would take the form: and a radial null vector wμ will have w2 = w3 = w4 = 0, so that the velocity of light along radial directions (given by w1/w4) is infinite. Hence we may call the co-ordinates (r,t) the `Newtonian' co-ordinates.

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