Gauge-invariant perfect-fluid Robertson-Walker perturbations

Details Gauge-invariant perfect-fluid Robertson-Walker perturbations Gauge-invariant perfect-fluid Robertson-Walker perturbations

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ijtp...35..665b&link_type=abstract

International Journal of Theoretical Physics, Volume 35, Issue 3, pp.665-692

Physics

4

Scientific paper

In the preceding paper, a complete set of basic gauge-invariant variables was defined that uniquely characterizes cosmological perturbations in homogeneous, isotropic, ideal-fluid universe models. The calculations were presented in some detail for the case of a general perfect fluid with two essential thermodynamic variables. Among other things, it was demonstrated that the aforementioned set consists of 17 linearly independent, not identically vanishing gauge-invariant variables. One can think of these basic variables as having two aspects. First, their definitions are such that they provide a unique representation of the physical perturbation. (By way of digression, inspection shows that such perturbations can be regarded as being the elements of a certain quotient space.) Second, any complicated gauge-invariant quantity is obtainable directly from the basic variables through purely algebraic and differential operations. The object here is the systematic derivation of the linear propagation equations governing the evolution of these basic variables. To make clear the relation of the present formalism to a series of standard results in the literature, this paper also points out how general propagation equations can be adapted to situations where the pressure vanishes in the background. Finally, the physical interpretation of basic variables and comparison with other gauge-invariant approaches are briefly presented.

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