Mach's principle in flat and curved spaces. Application to cosmology.

Details Mach's principle in flat and curved spaces. Application to cosmology. Mach's principle in flat and curved spaces. Application to cosmology.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112.1593s&link_type=abstract

Nuovo Cimento B, Vol. 112B, No. 12, p. 1593 - 1604

Mathematics

Logic

2

Cosmological Models: Physics

Scientific paper

Mach's principle is applied to a curved space. It is shown that the gravitational constant may be considered to depend on space curvature. This dependence introduces a new term in the right-hand side of Einstein's equations, leading to a new cosmological force. This force is either repulsive or attractive depending on the curvature sign. A flat expanding universe appears to be the only stable dynamical solution of Einstein's equations. This would explain why our universe is flat. In a flat space, Mach's principle is used to propose an explanation for the coincidence between some very large numbers.

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