'Newtonian' time in general relativity

Vaidya, P. C. (1953) 'Newtonian' time in general relativity Nature, 171 . pp. 260-261. ISSN 0028-0836

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Official URL: http://www.nature.com/nature/journal/v171/n4345/ab...

Related URL: http://dx.doi.org/10.1038/171260a0


A result recently given by Eisenhart 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: ds2 = - r2(dθ2 + sin2θdφ2) + γdt2 + 2adrdt, γ = γ(r,t), a = a(r,t) 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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