Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...119..145w&link_type=abstract
Astronomy and Astrophysics, vol. 119, no. 1, Mar. 1983, p. 145-152. Research supported by the Natural Sciences and Engineering
Astronomy and Astrophysics
Astrophysics
60
Cosmology, Gravitation Theory, Invariance, Relativistic Theory, Celestial Geodesy, Conservation Laws, Metric Space, Particle Motion, Tensor Analysis
Scientific paper
Scale invariance is defined for gravity by extending the General Theory of Relativity to five dimensions, where the fifth dimension is mass. Testing previous scale invariant gravitational theories has been limited by the cosmological time required to detect changes in the masses of objects such as the sun, which vary in mass as a function of the age of the Universe. The logic of treating the mass as a coordinate is explored in terms of a line element described by a symmetric five-dimensional tensor. The General Theory field equations are extended to five dimensions, so that the one-body problem can be solved by consideration of the five-dimensional metric in spherical symmetry and solving the field equations. Laboratory tests being performed to detect possible departures from the conventional law of gravitation by massive objects moving about a common axis in a circular path are mentioned.
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