Mathematics – Logic
Scientific paper
Sep 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999grco....5..203g&link_type=abstract
Gravit. Cosmol., Vol. 5, No. 3, p. 203 - 214
Mathematics
Logic
1
Missing Mass: Models, Missing Mass: General Relativity
Scientific paper
The author explores the possibility of extending general relativity within a hyperspace-time with a multiconnected extra space. This framework provides a geometro-mechanical interpretation of both inertia and gravitation. The mass of a body is identified with its cross-section for interaction with waves due to the extra space multiconnectivity. It is possible to express the gravitational constant G as an integral of the flux of these waves over their frequencies. The authors show how this expression of G is transformed into a function of the distance G(r) when large cosmological structures are considered. The substitution of G by G(r) in Newtonian dynamics could explain the flattening in the rotation velocity curves of many galaxies, without the dark matter hypothesis. A cosmogonical model compatible with observations is also sketched.
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