Abstract
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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References
Eisenhart, L. P., “Riemannian Geometry”, Appendix 25 (Princeton, 1949).
Vaidya, P. C., Proc. Ind. Acad. Sci., A, 33, 264 (1951).
Vaidya, P. C., Phys. Rev., 83, 10 (1951).
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VAIDYA, P. ‘Newtonian’ Time in General Relativity. Nature 171, 260–261 (1953). https://doi.org/10.1038/171260a0
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DOI: https://doi.org/10.1038/171260a0
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