Integrodifferential equation for brane world cosmological perturbations
Apr, 200113 pages
Published in:
- Phys.Rev.D 64 (2001) 064006,
- Phys.Rev.D 66 (2002) 049902 (erratum)
e-Print:
- hep-th/0104185 [hep-th]
View in:
Citations per year
Abstract: (arXiv)
Cosmological perturbations in the brane-world cosmology with a positive tension brane in the AdS background bulk geometry is analyzed by using the doubly gauge-invariant formalism. We derive four independent equations for scalar perturbations in the plane symmetric (K=0) background. Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and another of them is an integro-differential equation whose kernel is constructed formally from the Z_2-symmetric retarded Green's function of the bulk gravitational waves. We compare these four equations with the corresponding equations in the standard cosmology. As a by-product, we also obtain a set of equations which may be useful in numerical calculations.Note:
- Latex, 13 pages; geometrical interpretation of eq.(36) added, typos corrected, references added; typos corrected again; version to appear in Physical Review D
- membrane model
- space-time: anti-de Sitter
- perturbation: scalar
- gravitational radiation
- invariance: gauge
- symmetry: Z(2)
- Einstein equation
- Randall-Sundrum model
- dimension: 5
References(38)
Figures(0)