The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps

Abstract

We considered the solutions of the Friedmann equation in several setups, arguing that the Weierstra$ß$ form of the solutions leads to connections with some Conformal Field Theory on a torus. Thus a link with the Cardy entropy formula is obtained in a quite natural way. The argument is shown to be valid in a four dimensional radiation dominated universe with a cosmological constant as well as in four further different Universes.

arXiv comment9 pages, latex

Cited by in corpus (6)

• Explicit Integration of Friedmann's Equation with Nonlinear Equations of State
• Role of the cosmological constant in the holographic description of the early universe
• Parametric solution of certain nonlinear differential equations in cosmology
• Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant
• Holographic entropy bounds in the inflationary universe
• Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II