Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-05-07
Phys.Rev. D57 (1998) 7192-7199
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, no figure, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.57.7192
When working in synchronous gauges, pseudo-tensor conservation laws are often used to set the initial conditions for cosmological scalar perturbations, when those are generated by topological defects which suddenly appear in an up to then perfectly homogeneous and isotropic universe. However those conservation laws are restricted to spatially flat (K=0) Friedmann-Lema\^\i tre spacetimes. In this paper, we first show that in fact they implement a matching condition between the pre- and post- transition eras and, in doing so, we are able to generalize them and set the initial conditions for all $K$. Finally, in the long wavelength limit, we encode them into a vector conservation law having a well-defined geometrical meaning.
Deruelle Nathalie
Turok Neil
Uzan Jean-Philippe
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