Nonsingular general-relativistic cosmologies

Details Nonsingular general-relativistic cosmologies Nonsingular general-relativistic cosmologies

Apr 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..11.2072b&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 11, Apr. 15, 1975, p. 2072-2075.

Mathematics

46

Astronomical Models, Cosmology, Relativity, Singularity (Mathematics), Particle Interactions, Radiative Transfer, Scalars, Topology, Universe

Scientific paper

Exact isotropic cosmological models without singularities are constructed by exploiting a physically natural violation of the energy condition in the singularity theorems of Penrose, Hawking, and Geroch. This is accomplished with models containing incoherent radiation and pressureless matter coupled to a classical conformal massless scalar field in the same sense as the standard pion-nucleon coupling. All the equations governing the evolution of the models are solved exactly for all possible topologies of the universe. It is shown that singularities can be avoided for a certain range of model parameters and that this required range is physically appealing only for a closed universe.

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