Phys. Rev. D 71, 023520 (2005) [7 pages]Note on the well-posedness of scalar brane world cosmological perturbationsReceived 11 October 2004; published 21 January 2005 I discuss scalar brane world cosmological perturbations for a 3-brane world in a maximally symmetric 5D bulk. I show that Mukoyama’s master equations lead, for adiabatic perturbations of a perfect fluid on the brane and for scalar field matter on the brane, to a well-posed problem despite the nonlocal aspect of the boundary condition on the brane. I discuss in relation to the well-posedness the way to specify initial data in the bulk. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.023520
DOI:
10.1103/PhysRevD.71.023520
PACS:
98.80.Jk, 04.20.Ex, 04.50.+h, 11.25.Wx
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