Perturbation of junction condition and doubly gauge-invariant variables

Details Perturbation of junction condition and doubly gauge-invariant variables Perturbation of junction condition and doubly gauge-invariant variables

2000-06-19

arxiv.org/abs/hep-th/0006146v2

Class.Quant.Grav. 17 (2000) 4777-4798

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 18 pages; Version accepted for publication in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/17/23/301

The junction condition across a singular surface in general relativity, formulated by Israel, has double covariance. In this paper, a general perturbation scheme of the junction condition around an arbitrary background is given in a doubly covariant way. After that, as an application of the general scheme, we consider perturbation of the junction condition around a background with the symmetry of a $(D-2)$-dimensional constant curvature space, where $D$ is the dimensionality of the spacetime. The perturbed junction condition is written in terms of doubly gauge-invariant variables only. Since the symmetric background includes cosmological solutions in the brane-world as a special case, the doubly gauge-invariant junction condition can be used as basic equations for perturbations in the brane-world cosmology.

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