Open AccessJournal Article
Image generation in Kerr geometry. I: Analytical investigations on the stationary emitter-observer problem
TLDR
In this paper, the separated first integrals of Carter governing geodesic motion of light-like particles in Kerr geometry are removed from the uncertainties of sign, enabling a thorough discussion of the image generation of arbitrary axisymmetric, emitting objects at arbitrary observer locations.Abstract:
The stationary emitter-observer problem in Kerr geometry requires the systematic study of all lightlike geodesics connecting a given emitter with a given observer when emission is independent of coordinate time. To this aim, the separated first integrals of Carter governing geodesic motion of lightlike particles in Kerr geometry are removed from the uncertainties of sign. This enables a thorough discussion of the image generation of arbitrary axisymmetric, emitting objects at arbitrary observer locations, yielding a classification of all possible image orders by two parameters with only discrete values: one of them counts transits of the light path through the equatorial plane of the rotating hole, the second distinguishes two possible directions of the initial latitudinal emissionread more
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Gravitational Lensing from a Spacetime Perspective
TL;DR: In this paper, the theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations, where light propagation is described in terms of lightlike geodesics of a metric of Lorentzian signature, and the basic equations and relevant techniques for calculating the position, shape, and brightness of images in an arbitrary general-relativistic spacetime.
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Gravitational Lensing from a Spacetime Perspective
TL;DR: The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations, and includes general theorems on the classification of caustics, on criteria for multiple imaging, and on the possible number of images.
Journal ArticleDOI
Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
Valerio Bozza,Valerio Bozza,F. De Luca,F. De Luca,F. De Luca,Gaetano Scarpetta,Gaetano Scarpetta,Gaetano Scarpetta,Mauro Sereno,Mauro Sereno +9 more
TL;DR: In this article, an analytical treatment of gravitational lensing by Kerr black holes in the limit of very large deflection angles, restricting to observers in the equatorial plane, was presented, and it was shown that relativistic images of low mass x-ray binaries around Sgr ${\mathrm{A}}^{*}$ are very likely to be seen by future X-ray interferometry missions.
Journal ArticleDOI
Profiles of emission lines generated by rings orbiting braneworld Kerr black holes
Jan Schee,Zdeněk Stuchlík +1 more
TL;DR: In this article, the influence of the tidal charge on spectral lines generated by radiating tori orbiting in the vicinity of a rotating black hole was studied and it was shown that with lowering the negative tidal charge of the black hole, the profiled line becomes flatter and wider keeping their standard character with flux stronger at the blue edge of the profile.
Journal ArticleDOI
Kerr black hole lensing for generic observers in the strong deflection limit
Valerio Bozza,Valerio Bozza,F. De Luca,F. De Luca,F. De Luca,Gaetano Scarpetta,Gaetano Scarpetta,Gaetano Scarpetta +7 more
TL;DR: In this article, a complete analytical study of the lens equation for relativistic images created by photons passing very close to a Kerr black hole was performed, and it was shown that all observables (including shape and shift of the black hole shadow, caustic drift and size, images position and magnification) depend on the projected spin on a plane orthogonal to the line of sight.