2003/05/31 by Marek Szydlowski, Marek Szydłowski, Wojciech Czaja · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #gr-qc
paper · pdf · doi:10.1103/physrevd.69.083518
published as Phys.Rev. D69 (2004) 083518 · 35 pages, 26 figures, RevTeX4, some applications of our treatment to investigation of quintessence models were added
arxiv created 2003/10/16 · openalex publication_date 2004/04/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Assuming the equation of state for quintessential matter, p=w(z)\ensuremathρ, we analyze the dynamical behavior of the scale factor in Friedmann-Robertson-Walker cosmologies. It is shown that its dynamics is formally equivalent to that of a classical particle under the action of a 1D potential V(a). It is shown that the Hamiltonian method can be easily implemented to obtain a classification of all cosmological solutions in the phase space as well as in the configurational space. Examples taken from modern cosmology illustrate the effectiveness of the approach presented. The advantages of representing dynamics as a 1D Hamiltonian flow, in the analysis of acceleration and standard cosmological problems, are presented. The distant supernovae type Ia data are used to reconstruct the expansion scenario. The inverse problem of reconstructing the Hamiltonian dynamics (i.e., potential function) from the luminosity distance function dL(z) for supernovae is also considered.