Mathematics – Logic
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.3472j&link_type=abstract
Physical Review D (Particles and Fields), Volume 37, Issue 12, 15 June 1988, pp.3472-3483
Mathematics
Logic
11
Canonical Formalism, Lagrangians, And Variational Principles
Scientific paper
The choice of time function for cosmological solutions of gravitational field equations is related to the action of the group of independent scale transformations of the unit of length along orthogonal spatial directions. This is accomplished by the introduction of lapse functions which depend explicitly on the spatial metric in an appropriately defined power-law fashion. The resulting power-law-lapse time gauges are the key to producing nearly all exact solutions of the class of models for which the field equations reduce to ordinary differential equations.
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