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We present here a detailed derivation of an explicit spin-dependent expression for the bending angle of light as it traverses in the equatorial plane of a spinning black hole. We show that the deflection produced in the presence of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Savitri V. Iyer , Edward C. Hansen

We describe a new approach to calculating photon trajectories and gravitational lensing effects in the strong gravitational field of the Kerr black hole. These techniques are applied to explore both the imaging and spectral properties of…

Astrophysics · Physics 2011-05-10 Kris Beckwith , Chris Done

We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

Black holes are presumed to have an ideal ability to absorb and keep matter. Whatever comes close to the event horizon, a boundary separating the inside region of a black hole from the outside world, inevitably goes in and remains inside…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Yu. Kuchiev

We examine the shadow cast by a Kerr black hole, focusing on constraints on photons corresponding to different shadow boundaries. The photons are related to different orbital ranges and impact parameter values, creating a map of the shadow…

General Relativity and Quantum Cosmology · Physics 2024-05-24 D. Pugliese , Z. Stuchlık

The distortion of the spacetime structure in the surroundings of black holes affects the trajectories of light rays. As a consequence, black holes can act as gravitational lenses. Observations of type Ia supernovas, show that our Universe…

General Relativity and Quantum Cosmology · Physics 2016-01-14 Ernesto F. Eiroa , Carlos M. Sendra

Gravitational lensing near a black hole is strong enough that light rays can circle the event horizon multiple times. Photons emitted in multiple directions at a single event, perhaps because of localized, impulsive heating of accreting…

High Energy Astrophysical Phenomena · Physics 2021-03-31 George N. Wong

Kerr black holes are among the most intriguing predictions of Einstein's general relativity theory. These rotating massive astrophysical objects drag and intermix their surrounding space and time, deflecting and phase-modifying light…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Fabrizio Tamburini , Bo Thidé , Gabriel Molina-Terriza , Gabriele Anzolin

An analytical model of a parabolic screen illuminating a black hole is proposed. This allows to avoid naturally the appearance of edge effects associated with photons moving along the plane of the screen. The temperature distribution along…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Elena V. Mikheeva , Serge Repin , Vladimir N. Lukash

Compact objects with a light sphere such as black holes and wormholes can reflect light rays like a mirror. This gravitational lensing phenomenon is called retrolensing and it is an interesting tool to survey dark and compact objects with a…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Naoki Tsukamoto , Yungui Gong

The bending angle of light is a central quantity in the theory of gravitational lensing. We develop an analytical perturbation framework for calculating the bending angle of light rays lensed by a Schwarzschild black hole. Using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savitri V. Iyer , Arlie O. Petters

Analytical series expansions for the bending of light in the equatorial plane of a Kerr black hole are presented in both the strong and weak deflection regimes. It is critical that these are known in analytical form so further analysis can…

General Relativity and Quantum Cosmology · Physics 2009-08-04 Savitri V. Iyer , Edward C. Hansen

The silhouette of a black hole having a critical curve (an unstable bound photon orbit) when illuminated by an optically thin accretion disk whose emission is confined to the equatorial plane shows a distinctive central brightness…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Merce Guerrero , Gonzalo J. Olmo , Diego Rubiera-Garcia , Diego Sáez-Chillón Gómez

We study strong gravitational lensing due to a Schwarzschild black hole. Apart from the primary and the secondary images we find a sequence of images on both sides of the optic axis; we call them {\em relativistic images}. These images are…

Astrophysics · Physics 2009-10-31 K. S. Virbhadra , George F. R. Ellis

The gravitational field of supermassive black holes is able to strongly bend light rays emitted by nearby sources. When the deflection angle exceeds $\pi$, gravitational lensing can be analytically approximated by the so-called strong…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Bozza , G. Scarpetta

We consider a Kerr black hole acting as a gravitational deflector within the geometrical optics, and point source approximations. The Kerr black hole gravitational lens geometry consisting of an observer and a source located far away and…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Samuel E. Vázquez , Ernesto P. Esteban

The Kerr spacetime is symmetric with respect to a well-defined equatorial plane. When testing the equatorial reflection symmetry of an isolated black hole, one is at the same time testing the Kerr hypothesis in General Relativity. In this…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Che-Yu Chen , Hung-Yi Pu

Light rays passing very close to black holes may wind several times before escaping. For any given electromagnetic source around the black hole, a distant observer would thus observe two infinite sequences of images on either side of the…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Fabio Aratore , Valerio Bozza

Gravitational lensing is a well known phenomenon predicted by the General Theory of Relativity. It is now a well-developed observational technique in astronomy and is considered to be a fundamental tool for acquiring information about the…

Astrophysics · Physics 2009-11-10 F. De Paolis , A. Geralico , G. Ingrosso , A. A. Nucita , A. Qadir

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev
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