Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model - The redshift equations

Details Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model - The redshift equations Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model - The redshift equations

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...110....9n&link_type=abstract

Astronomy and Astrophysics, vol. 110, no. 1, June 1982, p. 9-17.

Astronomy and Astrophysics

Astrophysics

24

Cosmology, Galactic Clusters, Magnitude, Red Shift, Relativistic Theory, Astrophysics, Computer Programs, Schwarzschild Metric

Scientific paper

The question of the possible perturbation of the magnitude-redshift relation by clusters of galaxies is dealt with in the framework of a locally nonhomogeneous cosmological model. A two-level vacuole model is used, in which the inhomogeneity is itself represented by a Freidmann model of higher density than the Friedmann solution representing the exterior field, the two domains being separated by a Schwarzschild solution with the same center of symmetry. The redshift is explicitly computed as a function of immediately observable quantities, and it is shown that some constraints exist between the inhomogeneity parameters, so that the model contains four parameters, all of them observable. The equations are solved by means of a limited expansion made by a microcomputer program that is described. The results yield a small negative redshift effect for objects 'behind the cluster'.

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