A plan to study the 'standard hot big-bang model' of the universe

Details A plan to study the 'standard hot big-bang model' of the universe A plan to study the 'standard hot big-bang model' of the universe

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..329c&link_type=abstract

General Relativity and Gravitation, vol. 9, Apr. 1978, p. 329-338.

Physics

Astronomical Models, Big Bang Cosmology, Einstein Equations, Relativity, Universe, Evolution (Development), Field Theory (Physics), Gravitational Effects

Scientific paper

The Einstein field equations are modified by introducing a set of invariant quantities in place of the usual cosmical constant and used to study the evolution of the universe according to the 'standard hot big-bang model'. It is shown that a homogeneous and isotropic universe satisfies Mach's principle only when it is either closed or flat. A dynamic equation and an 'initial-value' equation are obtained which together with the equation of state for the cosmic fluid and the variation of one of two force parameters counteracting gravity give the dynamic evolution of the universe according to the cited model. A linear pressure-variation equation is adopted, boundary conditions are given for the radiation- and matter-dominated phases of evolution, and the density and scale-factor variations are determined. The dynamic and initial-value equations are rewritten in terms of the Hubble constant and the deceleration parameter, so that the two force parameters counteracting gravity can be determined numerically. A procedure is outlined for studying the complete evolution of the universe on the basis of the equations obtained.

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