Gravitational time dilation within shell



Are the gravitational time dilation experienced by a test particle the
same for these two setups?

1) A single gravitating body of mass M at a distance of R from the
test particle ... tau = t sqrt(1 - 2GM/(Rc^2)).

2) A homogeneous shell of mass M of radius R, where the test particle
is inside of the shell (doesn't need to be at the centre since dtau/dr
= 0 inside).

Thanks for any information.

- Shawn

.



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