Mathematics – Dynamical Systems
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992crasb.314..339t&link_type=abstract
Academie des Sciences (Paris), Comptes Rendus, Serie II - Mecanique, Physique, Chimie, Sciences de la Terre et de l'Univers (ISS
Mathematics
Dynamical Systems
2
Astronomical Models, Cosmology, Einstein Equations, Gravitation Theory, Gravitational Fields, Maxwell Equation, Big Bang Cosmology, Dynamical Systems, Gravitational Constant, Minkowski Space, Universe
Scientific paper
A methodology for studying dynamical systems is employed to qualitatively analyze the relationship between a Maxwellian field coupled to gravity and Einstein equations. The Maxwellian-type field is assumed to have n even dimensions to develop variables describing the expansion factor of the 4D universe and the variation of the gravitational constant. The resulting phase diagram is analyzed and found to have trajectories expanding from a singularity at infinity and tending toward equilibrium. This description of Minkowskian space-time is complemented by nonphysical regions in which trajectories originating from a 'big-bang' singularity tend toward an unstable singularity at infinity.
Fabris Julo C.
Romero Carlos
Tossa Joel
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