The redshift in the de Sitter universe.

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Redshifts: De Sitter Universe

Scientific paper

The harmonic condition is applied to the motion of galaxies in relativistic cosmology under the approximation that the universe is an empty de Sitter universe, while the galaxies move radially as particles along their geodesics without interfering with each other gravitationally. Transformations of the coordinates between the co-moving, the de Sitter and the standard systems of coordinates are given. The Poynting vector giving the intensity of light emitted by the distant receding galaxy and observed on earth has different forms in these systems of coordinates. As a first approximation the velocity-distance relation is the same in all of them.

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