Mathematics
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631...31p&link_type=abstract
(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc
Mathematics
Cosmology, Einstein Equations, Gravitation Theory, Relativity, Singularity (Mathematics), Two Body Problem, Gravitational Fields, Hamiltonian Functions, Quantum Theory, Quarks
Scientific paper
A cosmological model for avoiding gravitational singularities with probability of unity is presented. The energy-momentum tensor of the matter is estimated using the two-particle radial distribution function for the case of a closed Robertson-Walker universe. It is found that the energy conditions can be violated at high density by a class of interactions between particles constituting the cosmic matter in such a way that there is a bounce. Since these models are closed, they will continue to oscillate. The importance of gravitational particle production and vacuum polarization depends on the time at which the bounce occurs, and on the form of the interactions. It is concluded that avoidance of the cosmological singularity may be a natural and inevitable consequence of interactions at high density, with the maximum spacetime curvature attained by the model being a function of the interaction strengths.
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