Linear perturbations of matched spacetimes: the gauge problem and background symmetries

Abstract

We present a critical review about the study of linear perturbations of matched spacetimes including gauge problems. We analyse the freedom introduced in the perturbed matching by the presence of background symmetries and revisit the particular case of spherically symmetry in n-dimensions. This analysis includes settings with boundary layers such as brane world models and shell cosmologies.

18 pages, plain LaTeX file

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• A revised formalism for slowly-rotating superfluid neutron stars in general relativity
• A generalization of the Zerilli master variable for a dynamical spherical spacetime
• Existence and uniqueness of compact rotating configurations in GR in second order perturbation theory
• Review on the matching conditions for the tidal problem: towards the application to more general contexts
• Collapsing Layers on Schwarzschild-Lemaitre Geodesics
• Hartle's model within the general theory of perturbative matchings: the change in mass