Consistency of Weyl's geometry as a framework for gravitation

Details Consistency of Weyl's geometry as a framework for gravitation Consistency of Weyl's geometry as a framework for gravitation

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..54..497b&link_type=abstract

Astrophysics and Space Science, vol. 54, no. 2, Apr. 1978, p. 497-508.

Astronomy and Astrophysics

Astrophysics

13

Astrophysics, Gravitation Theory, Relativity, Riemann Manifold, Curvature, Dirac Equation, Electromagnetism, Geodesic Lines

Scientific paper

Scale transformations in the Riemann space of general relativity are reconsidered with reference to the Weyl geometrical framework for gravitation. Basic features of Weyl's geometry are described with attention to the cotensors and co-covariant derivatives worked out by Dirac. It is shown that under conditions of parallel displacement, the equation for geodesics in Weyl space can be obtained by a straightforward generalization of the Riemann case.

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