Physics
Scientific paper
Sep 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..837c&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Sept. 1983, p. 837-848. Research supported by the Consiglio Nazion
Physics
Field Theory (Physics), Gravitational Fields, Relativity, Space-Time Functions, Asymptotic Methods, Conformal Mapping, Gravitational Collapse, Mathematical Models, Metric Space
Scientific paper
The properties of a smooth, time-dependent family of conformal transformations relating a physical metric to a slice of a space-like, asymptotically Euclidean maximal foliation to a flat metric region that is a function of the fourth order transformations and the physical metric are considered to obtain solutions to the Lichnerowicz-York equation. Attention is given to the properties of the scale geometry on each slice of the foliation in the case of strong field regions. The flat metric regions are found to degenerate exponentially as the average of the scalar curvature of the slice and the physical metric increases. A value is also estimated for the lapse function defining the set of slices, demonstrating that asymptotically flat maximal slicings avoid reaching regions where a singular regime is neared.
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