Math @ Duke

Publications [#243996] of Arlie O. Petters
Papers Published
 Werner, MC; Petters, AO, Magnification relations for Kerr lensing and testing cosmic censorship,
Physical Review D, vol. 76 no. 6
(September, 2007),
pp. 064024, American Physical Society (APS), ISSN 15507998 [0132], [doi]
(last updated on 2019/06/24)
Abstract: A 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 postNewtonian order. We show that there are postNewtonian 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 nearfuture 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 postNewtonian order. A simple physical explanation for this degeneracy is also given. © 2007 The American Physical Society.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

