Tolman surface brightness test -

AI Thread Summary
The Tolman surface brightness test indicates that in an expanding universe, the surface brightness of identical objects decreases by a factor of (1+z)^4. Surface brightness is indeed related to flux, measured in W/m^2. The confusion arises from the fact that while flux decreases with the square of the distance, the additional factor of (1+z)^4 accounts for redshift effects in an expanding universe. There is debate regarding whether the decrease should be (1+z)^2 or (1+z)^4, with the former being a common claim in some sources. Clarification on this discrepancy is still needed for a comprehensive understanding.
_Andreas
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Tolman surface brightness test -- need help!

Richard Tolman derived that in an expanding universe with any arbitrary geometry, the surface brightness of a set of identical objects will decrease by (1+z)^4.

I have two questions:

1) The surface brightness is the same as the flux (W/m^2), right?
2) My understanding so far has been that the received flux decreases with the distance squared, so reading that it will decrease by a factor of (1+z)^4 is a bit confusing. Is it perhaps a factor that is ignored when the distance from Earth is relatively small (because z is so small)?

Need help urgently!
 
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Oh, and another question. Some sources say the SB will decrease by (1+z)^2 instead of (1+z)^4 in an expanding universe. Which is correct?
 
I've received answers to the first two questions already, so no need for anyone to bother with them. The question in my second post is still unanswered, though.
 
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