Junction conditions of cosmological perturbations

Details Junction conditions of cosmological perturbations Junction conditions of cosmological perturbations

2004-08-19

arxiv.org/abs/astro-ph/0408347v2

Phys.Rev. D70 (2004) 123502

Astronomy and Astrophysics

Astrophysics

19 pages

Scientific paper

10.1103/PhysRevD.70.123502

The behavior of perturbations is studied in cosmological models which consist of two different homogeneous regions connected in a spherical shell boundary. The junction conditions for the metric perturbations and the displacements of the shell boundary are analyzed and the surface densities of the perturbed energy and momentum in the shell are derived, using Mukohyama's gauge-invariant formalism and the Israel discontinuity condition. In both homogeneous regions the perturbations of scalar, vector and tensor types are expanded using the 3-dimensional harmonic functions, but the model coupling among them is caused in the shell by the inhomogeneity. By treating the perturbations with odd and even parities separately, it is found, however, that we can have consistent displacements and surface densities for given metric parturbations

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