Hamiltonian Formulation of FRW Equations of Cosmology

Details Hamiltonian Formulation of FRW Equations of Cosmology Hamiltonian Formulation of FRW Equations of Cosmology

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29..481e&link_type=abstract

General Relativity and Gravitation, Volume 29, Issue 4, p.481-487

Mathematics

Logic

10

Scientific paper

We give a general Hamiltonian formulation of the Friedmann-Robertson-Walker (FRW) fundamental equations of a homogeneous and isotropic universe in the Standard Cosmological model. It gives some interesting insight on the 3-curvature of the universe, which is found to be obtained in terms of the scale factor (also termed ``radius of the universe'') and its first derivative. It also leads to an easy determination of the Schrödinger equation for the $\Psi (R)$ wave function of the universe, in the radiative era.

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