Re: Gravitational time dilation within shell

shalayka@xxxxxxxxx wrote:
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

Understand, I'm just taking your bait. They are the same, laughingly, in that they are
both equal to ZERO. Because you posited "time dilation experienced by a test
particle", and we all know that particles/objects cannot *experience* time dilation,
because they exist locally within their own native space and time (frame).

That aside, time dilation is normally commensurate with the curvature of light. As
dtau/dr=0 everywhere inside case #2, there's be no curvature of light. In case #1
there would be.


.

Relevant Pages