Apparent milliarcsecond sizes of active galactic nuclei and the geometry of the universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Active Galactic Nuclei, Astronomical Models, Cosmology, Radio Astronomy, Universe, Brightness Distribution, Hubble Constant, Luminosity, Red Shift, Regression Analysis, Very Long Base Interferometry

Scientific paper

The behavior of the characteristic angular size (as defined in the paper) of milliarcsecond structures of active galactic nuclei (AGN) is analyzed as a function of redshift (z). Such a dependence contains a well-known feature, a dependence of the apparent angular size of a standard rod on cosmological distance. However, in the discussed case, this general dependence is complicated by dependences of source linear size (l) on its luminosity (L) and redshift, l varies as Lbeta (1 + z)n. A nonlinear regression model,containing as parameters characteristic linear size of AGN, indices beta and n, and the cosmological deceleration parameter q0, was applied for observational data of the Very Long Base Interferometry (VLBI) survey at 2.3 GHz (Preston et al. 1985). Results of the regression models are discussed from the perspective of apparent and intrinsic properties of milliarcsecond structures of AGN. The best fit is obtained for parameters beta = 0.26 +/- 0.03 and n = -0.30 +/- 0.90. In the particular case of the universe with the Robertson-Walker metric and zero cosmological constant, the estimated value q0 = 0.16 +/- 0.71 is somewhat favorable for the open cosmological models.

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