Abstract
Hogarth, Sciama and Hoyle and Narlikar applied the Wheeler-Feynman absorber theory of radiation to the Einstein-de Sitter universe and to the steady-state universe and have shown that, while the advanced solution is consistent in the former, the retarded solution is consistent in the latter. Both these models have the spatial curvature k = 0. It is shown in this paper that the retarded solutions remain inconsistent even if we introduce spatial curvature in homogeneous cosmological models in relativistic cosmology (with the cosmological constant A = 0). They are, however, the only consistent solutions for homogeneous models with spatial curvature in Hoyle's cosmology.
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