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Perfect fluid perturbations of cosmological spacetimes in Stewart's variables

Luca Bombelli, W E Couch and R J Torrence

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A formalism suggested by Stewart for the study of perturbations of cosmological spacetimes is applied to the case of isentropic perfect fluid perturbations. Autonomous systems of differential equations for distinct types of perturbations, including gravitational waves, vorticity perturbations, and waves of density perturbations, arise in a natural way.


PACS

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

98.80.Jk Mathematical and relativistic aspects of cosmology

02.30.Hq Ordinary differential equations

04.30.-w Gravitational waves

04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations

MSC

83F05 Cosmology

83C35 Gravitational waves

83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)

Subjects

Mathematical physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 1 (January 1994)

Received 17 August 1992, in final form 6 September 1992



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