The cosmological problem and its hypotheses. III/1

Details The cosmological problem and its hypotheses. III/1 The cosmological problem and its hypotheses. III/1

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976orion..34..145d&link_type=abstract

Orion, vol. 34, Dec. 1976, p. 145-148. In French.

Astronomy and Astrophysics

Astrophysics

Conformal Mapping, Cosmology, Gravitation Theory, Riemann Manifold, Space-Time Functions, Astrophysics

Scientific paper

The author examines the underlying assumptions of the new gravitational theory of Hoyle and Narlikar (1971, 1972). The fundamental hypothesis is that the laws of physics must be invariant under a conformal transformation of the Riemannian space-time geometry. Others are: all particles produce at each point of space-time a scalar mass field of variable strength from point to point; the mass of a particle at any point in space-time is proportional to the mass field at that point; the density of the fluid filling space-time is either variable from point to point or constant; regions of the universe where the mass field maintains a constant sign are large compared to the range of present-day astronomical observations. Some consequences of these hypotheses are briefly examined on some examples of conformal transformations of the geometry of Friedmann models.

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