Paul Lasky 2009 J. Phys.: Conf. Ser. 189 012023 doi:10.1088/1742-6596/189/1/012023
Paul Lasky
Show affiliationsOne difficulty associated with perturbations of spherical collapse models in General Relativity is attributed to the junction conditions required at the interface of the interior matter-filled region and the exterior vacuum region. This implies extracting information about gravitational waves at spacelike infinity is also a difficult task. In this talk, I present a method which eliminates the need for junction conditions in both the background and perturbed spacetimes, thereby allowing relatively simple modelling of gravitational waveforms. This is achieved by using a recently developed method that enables a single line element to be expressed for the entire spherically symmetric background spacetime. Perturbing this spacetime in a gauge-invariant manner implies junction conditions are not required at any stage of the perturbation. Wave equations are derived for the Newman-Penrose Weyl scalars which hold in both the matter filled regions of the spacetime as well as the vacuum exterior regions.
04.30.Db Wave generation and sources
Issue 1 (2009)
Paul Lasky 2009 J. Phys.: Conf. Ser. 189 012023
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