Separability of rotational effects on a gravitational lens

Asada, Hideki; Kasai, Minobu; Yamamoto, Tatsuya

doi:10.1103/physrevd.67.043006

Cited by 21 publications

(28 citation statements)

References 14 publications

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“…In order to investigate the rotation of the polarization plane of electromagnetic radiation (not discussed in this text), it is useful to introduce a tetrad formalism [67,68]. As for spherically symmetric case, several studies of Kerr lensing in the WDL [17,[69][70][71][72][73][74][75] and in the SDL [35,[76][77][78][79] have been carried out. These studies allow to get interesting analytical approximations in some limits that we will sometimes recall later.…”

Section: Rotating Black Holesmentioning

confidence: 99%

Gravitational lensing by black holes

2010

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We review the theoretical aspects of gravitational lensing by black holes, and discuss the perspectives for realistic observations. We will first treat lensing by spherically symmetric black holes, in which the formation of infinite sequences of higher order images emerges in the clearest way. We will then consider the effects of the spin of the black hole, with the formation of giant higher order caustics and multiple images. Finally, we will consider the perspectives for observations of black hole lensing, from the detection of secondary images of stellar sources and spots on the accretion disk to the interpretation of iron K-lines and direct imaging of the shadow of the black hole

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Section: Rotating Black Holesmentioning

confidence: 99%

Gravitational lensing by black holes

2010

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“…Let us orient lens coordinates such that the axis θ 2 is along the projected lens angular momentum and the axis θ 1 is perpendicular to the optical axis. Following [12,13,16], one can show that up to the post-Newtonian order lensing by rotating naked singularities under consideration is equivalent to lensing by Janis-Newman-Winicour lens but shifted by…”

Section: A Image Positionsmentioning

confidence: 99%

“…Then we can use the lens equation (13) to describe the image properties [39]. Because of this shift (14) the image position θ 1 of a direct photon (a > 0) translates to position θ 1 − δθ 1 .…”

Section: A Image Positionsmentioning

confidence: 99%

Gravitational lensing by rotating naked singularities

2008

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We model massive compact objects in galactic nuclei as stationary, axiallysymmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study analytically the position of the two weak field images, the corresponding signed and absolute magnifications as well as the centroid up to post-Newtonian order. We show that there are a static post-Newtonian corrections to the signed magnification and their sum as well as to the critical curves, which are function of the scalar charge. The shift of the critical curves as a function of the lens angular momentum is found, and it is shown that they decrease slightingly for the weakly naked and vastly for the strongly naked singularities with the increase of the scalar charge. The point-like caustics drift away from the optical axis and do not depend on the scalar charge.In the strong deflection limit approximation we compute numerically the position of the relativistic images and their separability for weakly naked singularities. All of the lensing quantities are compared to particular cases as Schwarzschild and Kerr black holes as well as Janis-Newman-Winicour naked singularities.

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“…A first attempt to evaluate the term proportional to m 2 a in the deflection angle was already performed in [30]. We remark as in the derivation in [30], some higher order geometrical terms are neglected or, in other words, angles are identified with their tangents. This can affect the relation between the impact parameter and the distance of closest approach.…”

Section: Lens Equationsmentioning

confidence: 99%

Analytical Kerr black hole lensing in the weak deflection limit

2006

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We present an analytical treatment of gravitational lensing by a Kerr black hole in the weak deflection limit. Lightlike geodesics are expanded as a Taylor series up to and including third-order terms in m/b and a/b, where m is the black hole mass, a the angular momentum and b the impact parameter of the light ray. Positions and magnifications of individual images are computed with a perturbative analysis. At this order, the degeneracy with the translated Schwarzschild lens is broken. The critical curve is still a circle displaced from the black hole position in the equatorial direction and the corresponding caustic is point-like. The degeneracy between the black hole spin and its inclination relative to the observer is broken through the angular coordinates of the perturbed images.

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Separability of rotational effects on a gravitational lens

Cited by 21 publications

References 14 publications

Gravitational lensing by black holes

Gravitational lensing by black holes

Gravitational lensing by rotating naked singularities

Analytical Kerr black hole lensing in the weak deflection limit

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