Magnification relations for Kerr lensing and testing Cosmic Censorship

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dc.creatorWerner, M. C.
dc.creatorPetters, A. O.
dc.date2007-06-01
dc.date2007-08-01
dc.date.accessioned2026-07-07T10:56:00Z
dc.date.available2026-07-07T10:56:00Z
dc.descriptionA Kerr black hole with mass parameter m and angular momentum parameter a acting as a gravitational lens gives rise to two images in the weak field limit. We study the corresponding magnification relations, namely the signed and absolute magnification sums and the centroid up to post-Newtonian order. We show that there are post-Newtonian corrections to the total absolute magnification and centroid proportional to a/m, which is in contrast to the spherically symmetric case where such corrections vanish. Hence we also propose a new set of lensing observables for the two images involving these corrections, which should allow measuring a/m with gravitational lensing. In fact, the resolution capabilities needed to observe this for the Galactic black hole should in principle be accessible to current and near-future instrumentation. Since a/m >1 indicates a naked singularity, a most interesting application would be a test of the Cosmic Censorship conjecture. The technique used to derive the image properties is based on the degeneracy of the Kerr lens and a suitably displaced Schwarzschild lens at post-Newtonian order. A simple physical explanation for this degeneracy is also given.
dc.description13 pages, version 2: references added, minor changes. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0706.0132
dc.identifierhttp://arxiv.org/abs/0706.0132
dc.identifierPhys.Rev.D76:064024,2007
dc.identifierdoi:10.1103/PhysRevD.76.064024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186266
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleMagnification relations for Kerr lensing and testing Cosmic Censorship
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