Kasner Initial Conditions in Globally Hyperbolic Spacetimes

Details Kasner Initial Conditions in Globally Hyperbolic Spacetimes Kasner Initial Conditions in Globally Hyperbolic Spacetimes

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pthph..80..644f&link_type=abstract

Progress of Theoretical Physics, Vol. 80, No. 4, pp. 644-653

Physics

Scientific paper

By using ideas of qualitative dynamical systems theory we study someaspects of inhomogeneous gravitational fields near the cosmologicalsingularity in a globally hyperbolic spacetime. Assuming that thesynchronous frame can be extended back to singularity we show thatthere is a region in phase space where Kasner initial conditions areadmissible. Consequently whenever the metric tensor visits such regionnear the singularity it will be close to a generalized Kasneruniverse. Possible consequences of this study in the description ofthe behaviour of Einstein's equations near the singularity are discussed.

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