What effect does the curvature of spacetime have on the frequency of radiation passing through it?

Question

What effect does the curvature of space time have on the frequency of radiation passing through it?

Answer 1

Relation needed to think about this:

                                f = c/w

f = frequency

w = wavelength

c = speed of light

Space-time curvature causes E-M radiation's wavelength to red-shift or get "longer" (meaning increase), thus by the above relation its frequency must compensate by decreasing so that the speed of light will still remain constant. Think of it as E-M radiation losing energy by having to climb out of a "gravity well".

http://archive.ncsa.uiuc.edu/Cyberia/Num...

Answer 2

See 'Doppler shift'

warped or curved space would not be linear.therefor the shift wound not be constant.

Answer 3

Local curvature, like a photon approaching a super cluster of galaxies will blue shift, and then climbing out of the well, will red shift.  But since it takes time to do this, and the Universe is expanding, it has longer to go to climb out, so there's a net red shift in addition to that caused by the expansion of the Universe.

But on the whole, the Universe is pretty flat.  So there's no effect there.