By observing how much the say hydrogen spectrum line was shifted we can tell whether the source is moving closer or further away, but then clearly cosmological redshift do not work this way so how can I tell them apart?
How to tell the difference between redshift by motion of stellar objects and the expansion of space?
1 Answers
I found this expression in my textbook, describing the luminosity of a light source:
$P = L (\frac{S}{S_tot})(\frac{\bar{h}\omega_0}{\bar{h}\omega_1})(\frac{\delta t_1}{\delta t_0})$
$\frac{S}{S_tot}$ describes the fraction of luminosity entering the telescope, $\frac{\bar{h}\omega_0}{\bar{h}\omega_1}$ ratio between the observed and emitted photon energies, $\frac{\delta t_1}{\delta t_0}$ time rate difference between two points in space.
So it seems that, theoretically, you have to make a distinction between of these effects. However, I do not know how you can observe the difference between the redshifts experimentally.
Side note: Is there some relationship between the redshift and the wavelength so that there could be a different effect if the photon (at different energies) enter a gravitational field so that the photon spectra is stretched due to the difference in energies of the photons that could be affected by the gravitational field. (Could the gravitational field exert a different force depending on the energy of the photon?)
- 84