Mathematics
Scientific paper
Oct 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rpsct.......58l&link_type=abstract
In its JPRS Report: Science and Technology. USSR: Physics and Mathematics p 58 (SEE N88-17395 09-70) Transl. into ENGLISH from T
Mathematics
Gravitation, Relativistic Theory, Space-Time Functions, Einstein Equations, Gravitational Fields, Gravitational Waves, Minkowski Space, Newton Theory, Riemann Manifold, Solar System, Universe
Scientific paper
Following an overview of Minkowski's and Einstein's modifications of Newtonian physics, along with Lobachevskiy's and Riemann's modifications of Euclidean geometry, the General Theory of Relativity is outlined with emphasis on departures from classical concepts in physics such as energy and momentum conservation as well as from the Faraday-Maxwell concept of a gravitational field. The subsequently developed relativistic theory of gravitation is then shown to satisfy those laws of consevation and to describe the gravitational field with a symmetric tensor. Geometrization is shown to connect this tensor to the metric Minkowski-space tensor, by virtue of the universality of gravitational field and matter interaction. Physical corollaries of this theory are prediction of the latent mass in the Universe with an energy density of almost 40 times higher than that of known matter, an explanation of all experimental data gravitational phenomena in the solar system, and new concepts about gravitational radiation. Predictions based on the general theory of relativity are shown to be arbitrary and intuitive rather then logical, Einstein's gravitational equations deriving rather from the relativistic theory of gravitation. The latter predicts, moreover, both evolution and gravitational collapse of a Friedman Universe.
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