Mathematics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....65..337m&link_type=abstract
Astronomy and Astrophysics, vol. 65, no. 3, May 1978, p. 337-343.
Mathematics
13
Cosmology, Gravitation Theory, Hubble Diagram, Newton Theory, Relativity, Space-Time Functions, Dirac Equation, Einstein Equations, Equations Of Motion, Field Theory (Physics), Geodetic Coordinates, Gravitational Constant, Transformations (Mathematics)
Scientific paper
A theory of gravitation in general relativity is examined in light of Dirac's proposition of scale invariance, i.e., equations which keep their form under conditions of scale transformation. Attention is given to the metrical connection as described by Weyl's geometry, and to its consequences for the equation of geodetic motion and its Newtonian limit. It is noted that the non-vanishing component of the connection is associated with Hubble's limit. An additional acceleration term is presented to account for the expansion of gravitational systems, which is observed to increase linearly with the distance between interacting objects. Reference is made to the Einstein-de Sitter critical density model, and the conclusion is drawn that both Hubble's and Newton's laws appear as intrinsic properties of gravitation within the context of integrable Weyl geometry.
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