An analysis of the derivation of Friedmann's equation

Details An analysis of the derivation of Friedmann's equation An analysis of the derivation of Friedmann's equation

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.122..327v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 122, no. 2, May 1986, p. 327-341.

Statistics

Computation

5

Astronomical Models, Computational Astrophysics, Conservation Laws, Energy Conservation, Universe, Background Radiation, Big Bang Cosmology, Density Distribution, Mach Number, Radiation Distribution

Scientific paper

A deeper specification is made of the physical meaning of the terms in the Friedmann Equation (FE). It is deduced that the FE for the radiation-dominated phase of the evolution of the Universe (which is considered to be closed) is valid even for the matter-dominated era. On the other hand, such a form of the FE is shown to be irrelevant when used for deducing how the frequency of the 3K-photons depends on the radius of the Universe. The deduction of the critical density-value is revised, and the new result shortly discussed. It is concluded that there is only one possible value for the maximum radius of our Universe. A modified "soapbubble" analogy with the first law of thermodynamics is used to describe "the dynamics" of the cosmological expansion.

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