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Nota de FísicaPublicado

Minimal Closed Set of Observables in the Theory of Cosmological Perturbations II: Vorticity and Gravitational Waves

M. Novello; J. M. Salim; M. C. M. Silva; S.E. Jorás; R. Klippert

1995

Dados da publicação

Autores
M. Novello; J. M. Salim; M. C. M. Silva; S.E. Jorás; R. Klippert
Tipo
Nota de Física
Status
Publicado
Data de publicação
1995
Descrição
In a previous paper we analysed the theory of perturbation of Friedman- Robertson-Walker (FRW) cosmology exclusively in terms of observable quantities in the framework of Quasi­Maxwellian equations of gravitation. In that paper we limited ourselves to the case of irrotational perturbations for simplicity. We complete here the previous task by presenting the remaining cases of vector and tensor perturbations. Following the same reasoning as for the scalar case, we show here that the vorticity <math>\Omega\!\,</math> and the shear <math>\sum</math> constitute the two basic perturbed variables in terms of which all remaining observable quantities can be described for the vectorial case. The tensorial case can be described by the variables E and H, the electric and magnetic parts of Weyl conformal tensor. Einstein's equations of General Relativity reduce to a closed set of dynamical system for those pairs of variables. We then obtain a Hamiltonian treatment of the Perturbation Theory in FRW.
Ano
1995
Número
CBPF-NF-002/95
Vínculo com tese
Não
Vínculo com bolsa
Não
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