An evolution free test for non-zero cosmological constant

An evolution-free cosmological test that is a sensitive estimator of the cosmological constant is proposed. The test involves the evaluation of the ratio between the differences in the redshifts of an expanding spherically symmetric distribution of radiation-emitting objects and the product of their distance with the angular radius of their distribution on the sky assuming a homogeneous, isotropic cosmology described by the Robertson-Walker metric. In the case where the cosmological constant is not equal to zero, this ratio is shown to vary significantly with a change in object distance and other parameters. Difficulties associated with the peculiar velocities and clustering of galaxies, the presumable test objects, are discussed.