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A study of the angular size-redshift relation for models in which $Λ$ decays as the energy density

R. G. Vishwakarma
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Abstract

By modifying the Chen and Wu ansatz, we have investigated some Friedmann models in which $Λ$ varies as $ρ$. In order to test the consistency of the models with observations, we study the angular size - redshift relation for 256 ultracompact radio sources selected by Jackson and Dodgson. The angular sizes of these sources were determined by using very long-baseline interferometry in order to avoid any evolutionary effects. The models fit the data very well and require an accelerating universe with a positive cosmological constant. Open, flat and closed models are almost equally probable, though the open model provides a comparatively better fit to the data. The models are found to have intermediate density and imply the existence of dark matter, though not as much as in the canonical Einstein-de Sitter model.

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R. G. Vishwakarma. 2001-02-01. A study of the angular size-redshift relation for models in which $Λ$ decays as the energy density. https://doi.org/10.1088/0264-9381%2F17%2F18%2F317

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