- #1

cianfa72

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- TL;DR Summary
- About the coordinate time vector field of Schwarzschild geometry in Schwarzschild vs Gullstrand-Painleve coordinate chart

Hi,

I was reading this insight schwarzschild-geometry-part-1 about the transformation employed to rescale the Schwarzschild coordinate time ##t## to reflect the proper time ##T## of radially infalling objects (Gullstrand-Painleve coordinate time ##T##).

As far as I understand it, the vector field ##{\partial} / {\partial t}## is actually the same as ## {\partial} / {\partial T}##.

Does it sound right ? Thank you.

I was reading this insight schwarzschild-geometry-part-1 about the transformation employed to rescale the Schwarzschild coordinate time ##t## to reflect the proper time ##T## of radially infalling objects (Gullstrand-Painleve coordinate time ##T##).

As far as I understand it, the vector field ##{\partial} / {\partial t}## is actually the same as ## {\partial} / {\partial T}##.

Does it sound right ? Thank you.