ISSN:
1572-9532
Keywords:
ISOTROPIC COSMOLOGICAL MODELS
;
CLASSICAL MECHANICS
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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 ε(E,n), where ε 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018858809324
Permalink