Mathematics – Logic
Scientific paper
Mar 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975mnras.170..599r&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 170, Mar. 1975, p. 599-610.
Mathematics
Logic
3
Astronomical Models, Cosmology, Gravitation Theory, Relativistic Theory, Equations Of Motion, Invariance, Kinematics, Metric Space, Particle Motion, Riemann Manifold, Space-Time Functions, Universe
Scientific paper
Milne's general kinematic discussion on cosmological models is reviewed, revised and extended and it is shown that Riemannian geometry is insufficient for describing the general class of Milne's theories and that these theories if they are to be geometrized need the more general framework of Finsler spaces. Poincare's early relativistic gravitational theory is then reviewed and applied to the one-body and cosmological problems. It is shown that this theory is not Riemannian geometrizable but is Finsler geometrizable. The cosmological solution is explicitly evaluated and shown to be an example of Milne's general kinematic models.
Roxburgh Ian W.
Tavakol Reza
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