Mathematics – Logic
Scientific paper
Dec 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977mnras.181..637r&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 181, Dec. 1977, p. 637-645.
Mathematics
Logic
1
Astronomical Models, Cosmology, Relativity, Integral Equations, Isotropic Media, Metric Space, Milne Method, Particle Motion
Scientific paper
The cosmological solutions of general relativity give three isotropic homogeneous cosmological models determined by the curvature of three-space (k = 0, +1, -1). In the mass integral formulation of Hoyle and Narlikar (1964), the differential form of the theory is identical to general relativity but because of the integral form of the mass field, these solutions must satisfy a self-consistency condition. By mapping the k = -1 model into the uniformly expanding Milne model, the mass integral is evaluated and shown to be self-consistent. Thus this formulation of general relativity does not uniquely determine the cosmological solution.
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