Light that is emitted from objects under the effect of time dilation (from out point of view) is redshifted that much is clear. However I am interested if another effect occurs that I never seem to be able to be discussed or dismissed anywhere.
Say we have an object emitting light (or reflecting or whatever) normally we can calculate the amount of photons/ms by looking at the total amount of energy that is being emitted.
Would this mean, that if the same object is under the effect of, for example, gravitational time dilation the detected amount would decrease? The object should still emit x photons/ms but that ms might be twice or longer than that for us.
Therefore shouldn't the "brightness" (in addition to the redshift) change and therefore also the calculated energy output of the object at the point of the observer even if we compensate for the redshift?