Nonradial linear oscillations of shells in general relativity

Physics

Scientific paper

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Initial Value Problem, Existence And Uniqueness Of Solutions, Wave Generation And Sources, Wave Propagation And Interactions

Scientific paper

Nonradial perturbations of a static shell with an empty interior, or around a star or black hole, are investigated. The transition conditions at the shell are derived in a Gaussian and in Regge-Wheeler gauge. The existence of linearized shell solutions is demonstrated. Quasinormal modes are discussed, and the Newtonian limit of the equations is derived.

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