Mathematics – Logic
Scientific paper
Mar 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998gregr..30..425l&link_type=abstract
General Relativity and Gravitation, Volume 30, Issue 3, pp.425-434
Mathematics
Logic
6
Isotropic Cosmological Models, Classical Mechanics
Scientific paper
We show that the dynamical behavior of the scale factor in FRW cosmologies with equation of state p = (γ - 1)ρ is formally equivalent to a classical particle under the action of a homogeneous potential V(q) = αqn, where α and n are constants. The relations γ(n) and ɛ(E,n), where ɛ is the curvature parameter and E is the total energy of the test particle, are established. It is shown that the same approach can be generalized to include a nonvanishing cosmological constant as well as to describe viscous models. A comparison is made between the Lagrangian and general relativistic possibilities.
Lima A. S. J.
Moreira A. M. J.
Santos Joedson
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