Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-03-07
Phys.Rev. D51 (1995) 450-461
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
36 pages, report CBPF-NF-009/94, reference 11 and LaTex problems corrected
Scientific paper
10.1103/PhysRevD.51.450
The theory of perturbation of Friedman-Robertson-Walker (FRW) cosmology is analysed exclusively in terms of observable quantities. Although this can be a very complete and general procedure we limit our presentation here to the case of irrotational perturbations for simplicity. We show that the electric part of Weyl conformal tensor {\bf $E$} and the shear {\bf $\Sigma$} constitute the two basic perturbed variables in terms of which all remaining observable quantities can be described. Einstein\rq s equations of General Relativity reduce to a closed set of dynamical system for {\bf $E$} and {\bf $\Sigma$}. The basis for a gauge-invariant Hamiltonian treatment of the Perturbation Theory in the FRW background is then set up.
Joras Sergio E.
Klippert Renato
Motta da Silva M. C.
Novello Mario
Salim Jose M.
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