Minimal Angular Size of Distant Sources in Open, $Λ$CDM, and Scalar Field Cosmologies

Details Minimal Angular Size of Distant Sources in Open, $Λ$CDM, and Scalar Field Cosmologies Minimal Angular Size of Distant Sources in Open, $Λ$CDM, and Scalar Field Cosmologies

1999-04-14

arxiv.org/abs/astro-ph/9904182v2

Gen.Rel.Grav. 32 (2000) 1851-1857

Astronomy and Astrophysics

Astrophysics

8 pages, 1 postscript figures, uses revtex macros

Scientific paper

We propose a simple method for determining the redshift $z_{m}$ at which the angular size of an extragalactic source with fixed proper diameter takes its minimal value. A closed analytical expression, which is quite convenient for numerical evaluation is derived. The method is exemplified with the following FRW type expanding universes: the open matter dominated models ($\Omega_{\Lambda}= 0$), a critical density model with cosmological constant ($\Omega_{\Lambda} \neq 0$), and the class of scalar field cosmologies proposed by Ratra and Peebles. The influence of systematic evolutionary effects is briefly discussed.

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