Statistics – Computation
Scientific paper
Nov 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..917l&link_type=abstract
General Relativity and Gravitation, vol. 12, Nov. 1980, p. 917-924.
Statistics
Computation
4
Mach Inertia Principle, Relativity, Rotating Fluids, Space-Time Functions, Boundary Value Problems, Einstein Equations, Minkowski Space, Perturbation Theory
Scientific paper
Effects derived from Mach's principle in a nonasymptotically flat space-time, namely the Friedmann-Robertson-Walker cosmology with closed topology, are considered. For the case of a rotating shell of perfect fluic separating a Minkowski interior from a Friedmann-Robertson-Walker interior, expressions are derived for the perturbation of the metrics by the rotating shell, with consideration given to the time and spatial dependence of a given rotational perturbation. Results are compared with analogous computations for asymptotically flat configurations, and it is pointed out that the present results tend to confirm Mach's principle. Finally, an extension of Bardeen's definition of the locally nonrotating observer is proposed for the present, nonstationary situation.
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