# Separability of rotational effects on a gravitational lens

@article{Asada2003SeparabilityOR, title={Separability of rotational effects on a gravitational lens}, author={Hideki Asada and Masumi Kasai and Tatsuya Yamamoto}, journal={Physical Review D}, year={2003}, volume={67} }

We derive the deflection angle up to $O(m^2a)$ due to a Kerr gravitational lens with mass $m$ and specific angular momentum $a$. It is known that at the linear order in $m$ and $a$ the Kerr lens is observationally equivalent to the Schwarzschild one because of the invariance under the global translation of the center of the lens mass. We show, however, nonlinear couplings break the degeneracy so that the rotational effect becomes in principle separable for multiple images of a single source…

## 12 Citations

Magnification relations for Kerr lensing and testing cosmic censorship

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- 2007

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…

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We model massive compact objects in galactic nuclei as stationary, axially symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In…

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We provide new very simple and compact expressions for the efficient calculation of gravitational lens optical scalars for Kerr spacetime. These exact expressions are valid for any null geodesic and…

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- 2010

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The primary optical caustic surface behind a Kerr black hole is a four-cusped tube displaced from the line of sight. We derive the caustic surface in the nearly asymptotic region far from the black…

Perturbative Approach to the Gravitational Lensing by a Non-Spherically Distorted Compact Object

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- 2011

We investigate the gravitational lens effect caused by a non-spherically distorted compact object. The non-spherical property of the gravitational potential is modeled by a quadrupole moment. Under…

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A new geometric method to determine the deflection of light in the equatorial plane of the Kerr solution is presented, whose optical geometry is a surface with a Finsler metric of Randers type.…

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The Euclidean algorithm in algebra is applied to a class of gravitational lenses for which the lens equation consists of any set of coupled polynomial equations in the image position. In general,…

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- 2009

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,…

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