Shinji Mukohyama 2000 Class. Quantum Grav. 17 4777 doi:10.1088/0264-9381/17/23/301
Perturbation of the junction condition and doubly gauge-invariant variables
Shinji Mukohyama
Show affiliationsThe 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.
- PACS
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04.50.-h Higher-dimensional gravity and other theories of gravity
11.25.Wx String and brane phenomenology
- MSC
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81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
- Subjects
- Dates
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Issue 23 (7 December 2000)
Received 23 January 2000
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Perturbation of the junction condition and doubly gauge-invariant variables
Shinji Mukohyama 2000 Class. Quantum Grav. 17 4777
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