Angular size in an expanding universe

Physics

Scientific paper

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Scientific paper

The redshift zm at which angular size (for objects of equal linear size) is a minimum is examined for expanding, dust-filled, Robertson-Walker universes obeying the Einstein field equations with vanishing cosmological constant. It is shown that zm and the deceleration parameter q are monotonically decreasing functions of one another, and that closed-form expressions can be obtained for both zm(q) and q(zm). The explicit form of the latter function is presented.

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