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2 votes
2 answers
2k views

What kind of coordinate change is needed to make gravity disappear?

I understand that the Christoffel symbols associated with the metric will vanish locally once you perform the appropiate change of coordinates. These new coordinates correspond to an observer in free-...
K. Pull's user avatar
  • 391
5 votes
2 answers
214 views

Comoving system of expanding or collapsing dust-like particles

I have a question on co-moving and synchronized reference systems. I read the corresponding section (97) in Landau/Lifshitz's second book "Field Theory" on it. In particular it is said that space ...
Frederic Thomas's user avatar
1 vote
0 answers
118 views

Are there local coordinates for Schwarzchild spacetime?

In the Schwarzchild metric, $t$ is the time on the clock of an observer at infinity, and $r$ is the related to the area of a sphere by $A=4\pi r^2$. Are there more physical coordinates one could use, ...
Eric David Kramer's user avatar
2 votes
1 answer
104 views

Relativistic reference frames - What is the independent variable?

Currently reading the following document - Moyer (1971). Excellent read if anyone is interested. I note that in Eqs. $(12)-(20)$, Moyer uses the coordinate time as the affine parameter in the Euler -...
Rumplestillskin's user avatar
3 votes
2 answers
4k views

How much Gravity is required to stop time?

Clocks free of gravitational influence run faster than those experiencing gravity. Is it possible for gravitational influence to bring time to a stop? Additionally can acceleration affect clocks in ...
RaSullivan's user avatar