Introduction to Cosmology Ryden · Problem 6.5

Measuring Cosmological Parameters

Physics — Astrophysics · surface-brightness-cosmology

Problem

The surface brightness Σ\Sigma of an astronomical object is its observed flux divided by its observed angular area; thus, Σ∝f/(δθ)2\Sigma \propto f/(\delta\theta)^2. For a class of objects that are both standard candles and standard yardsticks, what is Σ\Sigma as a function of redshift? Would observing the surface brightness of this class of objects be a useful way of determining the value of the deceleration parameter q0q_0? Why or why not?

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