Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-03-21
Class.Quant.Grav. 17 (2000) 2983-2998
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex file, 18 pages
Scientific paper
10.1088/0264-9381/17/15/309
Density fluctuations of fluids with negative pressure exhibit decreasing time behaviour in the long wavelength limit, but are strongly unstable in the small wavelength limit when a hydrodynamical approach is used. On the other hand, the corresponding gravitational waves are well behaved. We verify that the instabilities present in density fluctuations are due essentially to the hydrodynamical representation; if we turn to a field representation that lead to the same background behaviour, the instabilities are no more present. In the long wavelength limit, both approachs give the same results. We show also that this inequivalence between background and perturbative level is a feature of negative pressure fluid. When the fluid has positive pressure, the hydrodynamical representation leads to the same behaviour as the field representation both at the background and perturbative levels.
Fabris Julio Cesar
Goncalves S. V. B.
Tomimura Nazira A.
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