Gravitational red-shift.
We saw in Sec. 7.4 that light leaving
a region where the gravitational force is large will be shifted towards
the red (its wavelength increases; see Figs. 7.21,
7.9);
similarly, light falling into a region where the gravitational pull is
larger will be shifted towards the blue. This prediction was tested in
Harvard by looking at light as it fell from a tower (an experiment requiring
enormous precision since the changes in the gravitational force from the
top to the bottom of a tower are minute) and the results agree with the
predictions from the General Theory of Relativity.
The gravitational red-shift was also tested by looking at the light
from a type of stars which are very very well-studied. The observations
showed that the light received on Earth was slightly redder than expected
and that the reddening is also in agreement with the predictions from the
General Theory of Relativity.
Figure 7.21: Illustration of the gravitational red-shift
predicted by the General Theory of Relativity. A heavy object is denoted
by a deformation of space represented by the funnel. As light leaves the
vicinity of this object it is shifted towards the red: for a sufficiently
compact and massive object a blue laser on the surface will be seen as
red in outer space.
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