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Gravitational time dilation is a phenomenon of the time running at the vicinity of a mass slower than at infinite distance from that mass (in space without any other masses).
For an observer at infinity in a flat space <math>d\tau/dt = 1 - GM/(c^2 r)<math>, where
- <math>\tau<math> is the time at the observed point in space
- <math>t<math> is the time at the observer at infinity
- <math>G<math> is Newtonian gravitational constant
- <math>M<math> is the mass
- <math>c<math> is speed of light
- <math>r<math> is distance from the center of the mass to the observed point in space.
The phenomenon is connected with the gravitational redshift since the light signals sent from the observed point in space to infinity are redshifted because the frequency of oscillations is directly proportional to the rate of time (<math>d\tau/dt<math>).
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