Variational study of spectral shifts. II - Relativistic aspects

Details Variational study of spectral shifts. II - Relativistic aspects Variational study of spectral shifts. II - Relativistic aspects

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..64..433p&link_type=abstract

Astrophysics and Space Science, vol. 64, no. 2, Aug. 1979, p. 433-442. In French.

Mathematics

3

Gravitational Fields, Line Shape, Line Spectra, Mathematical Models, Relativistic Effects, Theoretical Physics, Classical Mechanics, Equivalence, Euclidean Geometry, Fibers (Mathematics), Photon Beams, Riemann Manifold, Space-Time Functions

Scientific paper

Weyl (1922) has shown that in a static gravitational field the light paths are curved. This property can be a priori stated for a V3 Riemannian manifold - through any two points of V3, it is possible to draw two families of curves: the straight lines of Euclidean geometry, and the z-trajectories of the photons. It is shown that a fibering of the Galilean space-time can be performed in an original way by taking the photon z-trajectories as the base, the isochronic surfaces as the fibers, and the 'equal length time on a z-trajectory to reach a given point' as the equivalent relation. The straight lines of Euclidian geometry can then carry the classical-mechanics time and the z-trajectories can carry the optics time.

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