Mathematics – Logic
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.191..821p&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 191, June 1980, p. 821-827.
Mathematics
Logic
Cosmology, Einstein Equations, Equations Of State, Gravitational Fields, Particle Production, Space-Time Functions, Ideal Fluids, Kinetic Energy, Mathematical Models, Particle Interactions, Particle Motion, Pressure Effects, Scalars, Thermodynamic Equilibrium
Scientific paper
The purpose of this paper is to examine the behavior of a solution to Einstein's equations near the cosmological singularity, in models of Bianchi type I where the metric coefficients are approximated as power laws in the time, and when the energy - momentum tensor includes contributions from an anisotropic, diagonal pressure tensor. The solution is intended to match with the results of the particle-creation calculation of Zel'dovich & Starobinskii. On the basis of this discussion, the conjecture is advanced that if the particle-production effect is calculated more carefully by including a self-interaction term in the scalar field which represents the particles, then the matter produced will appear as an approximately perfect fluid with an almost-stiff equation of state.
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