On the Existence of Radiation Gauges in Petrov type II spacetimes

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dc.creatorPrice, Larry R.
dc.creatorShankar, Karthik
dc.creatorWhiting, Bernard F.
dc.date2006-11-13
dc.date2007-04-18
dc.date.accessioned2026-07-07T10:22:00Z
dc.date.available2026-07-07T10:22:00Z
dc.descriptionThe radiation gauges used by Chrzanowski (his IRG/ORG) for metric reconstruction in the Kerr spacetime seem to be over-specified. Their specification consists of five conditions: four, which we treat here as valid gauge conditions, plus an additional condition on the trace of the metric perturbation. In this work, we utilize a newly developed form of the perturbed Einstein equations to establish a condition -- on a particular tetrad component of the stress-energy tensor -- under which the full IRG/ORG can be imposed. Using gauge freedom, we are able to impose the full IRG for Petrov type II and type D backgrounds, using a different tetrad for each case. As a specific example, we work through the process of imposing the IRG in a Schwarzschild background, using a more traditional approach. Implications for metric reconstruction using the Teukolsky curvature perturbations in type D spacetimes are briefly discussed.
dc.description21 pages, uses iop style files. v2: proved a stronger result for type II backgrounds, added a subsection on remaining gauge freedom in the full IRG and improved calrity and readability throughout due to insightful referee comments; published as Class. Quantum Grav. 24 (2007) 2367-2388
dc.identifierhttps://arxiv.org/abs/gr-qc/0611070
dc.identifierhttp://arxiv.org/abs/gr-qc/0611070
dc.identifierClass.Quant.Grav.24:2367-2388,2007
dc.identifierdoi:10.1088/0264-9381/24/9/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175368
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the Existence of Radiation Gauges in Petrov type II spacetimes
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