Abstract
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 Ψ(R) wave function of the universe, in the radiative era.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Novello, M., Salim, J. M., Motta da Silva, M. C., Jorás, S. E., and Klippert, R. (1995). Phys. Rev. D51, 450; Phys. Rev. D52, 730.
Bardeen, J. (1980). Phys. Rev. D22, 1882.
Elbaz, E. (1992). Cosmologie (Ellipses, Paris).
Wheeler, J. A., DeWitt, M. C., and DeWitt, B. S. (1964). In Relativity, Groups and Topology, B. DeWitt, C. DeWitt, eds. (Gordon Breach, New York).
Halliwell, J. J. (1991). In Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran and S. Weinberg, eds. (World Scientific, Singapore).
Pinto Neto, N. (1996). In Quantum Cosmology (Proc. VIII Brazilian School of Cosmology and Gravitation), M. Novello, ed. (Edition Nouvelles Frontières, Gifsur-Yvette).
Rights and permissions
About this article
Cite this article
Elbaz, E., Novello, M., Salim, J.M. et al. Hamiltonian Formulation of FRW Equations of Cosmology. General Relativity and Gravitation 29, 481–487 (1997). https://doi.org/10.1023/A:1018834800025
Issue Date:
DOI: https://doi.org/10.1023/A:1018834800025