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Related papers: Analytical formulas for gravitational lensing

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The aim of the present work is twofold: first, we present general remarks about the application of recent procedures to compute the deflection angle in spherically symmetric and asymptotically flat spacetimes, taking into account finite…

General Relativity and Quantum Cosmology · Physics 2019-06-12 Gabriel Crisnejo , Emanuel Gallo , Adam Rogers

Using a recently found black hole solution in the framework of the Poincar{\'e} gauge theory of gravity, we study gravitational lensing for a system where the lens is a static spherically symmetric black hole. By analyzing the equations of…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Saboura Sadat Zamani , Siamak Akhshabi

In this work we extend the approach used in [Emanuel Gallo and Osvaldo M. Moreschi, Phys. Rev. D 83, 12 083007 (2011)] to the study of weak gravitational lensing in a plasma medium. First, we present expressions for the deflection angle and…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Gabriel Crisnejo , Emanuel Gallo , José R. Villanueva

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

Astrophysics · Physics 2009-11-07 M. Sereno

We develop an iterative approach to gravitational lensing theory based on approximate solutions of the null geodesic equations. The approach can be employed in any space-time which is ``close'' to a space-time in which the null geodesic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas P. Kling , Ezra T. Newman , Alejandro Perez

We discuss the contribution to the characteristic lensing quantities, i.e. the deflection angle and Einstein radius, due to the higher order terms (e.g. the gravitomagnetic terms) considered in the lens potential. The cases we analyze are…

Astrophysics · Physics 2011-01-27 Salvatore Capozziello , Virginia Re

This paper investigates off-equatorial plane deflections and gravitational lensing of both null signals and massive particles in Kerr spacetime in the weak deflection limit, with the finite distance effect of the source and detector taken…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Tingyuan Jiang , Xiaoge Xu , Junji Jia

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds…

Astrophysics of Galaxies · Physics 2014-11-20 A. O. Petters , M. C. Werner

We calculate the angles of deflection of high speed particles projected in an arbitrary direction into the Kerr gravitational field. This is done by first calculating the light-like boost of the Kerr gravitational field in an arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Barrabès , P. A. Hogan

Gravitational lensing refers to the deflection of light by the gravity of celestial bodies, often predominantly composed of dark matter. Seen through a gravitational lens, the images of distant galaxies appear distorted. In this paper we…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-22 Hans Georg Schaatun , Ben David Normann , Einar Leite Austnes , Simon Ingebrigtsen , Sondre Westbø Remøy , Simon Nedreberg Runde

We found strong similarities between the gravitational lensing and the conventional optical lensing. The similarities imply a graded refractive index description of the light deflection in gravitational field. We got a general approach to…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Xing-Hao Ye , Qiang Lin

In this paper we calculate the strong field limit deflection angle for a light ray passing near a scalar charged spherically symmetric object, described by a metric which comes from the low-energy limit of heterotic string theory. Then, we…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Carlos A. Benavides , Alejandro Cardenas-Avendano , Alexis Larranaga

Gravitational lensing by gravitational wave is considered. We notice that although final and initial direction of photons coincide, displacement between final and initial trajectories occurs. This displacement is calculated analytically for…

Astrophysics · Physics 2009-01-31 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

The deflection, potential, shear and magnification of a gravitational lens following an elliptical power law mass model are investigated. This mass model is derived from the circular power law profile through a rescaling of the axes,…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-01 Nicolas Tessore , R. Benton Metcalf

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

We study gravitational lensing by a generic extended mass distribution. For that, we consider the diffraction of electromagnetic (EM) waves by an extended, weakly aspherical, gravitating object. We account for the static gravitational field…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Slava G. Turyshev , Viktor T. Toth

For a general class of analytic $f(R,R_{\alpha\beta}R^{\alpha\beta},R_{\alpha\beta\gamma\delta}R^{\alpha\beta\gamma\delta})$ we discuss the gravitational lensing in the Newtonian Limit of theory. From the properties of Gauss Bonnet…

General Relativity and Quantum Cosmology · Physics 2015-05-30 A. Stabile , An. Stabile

The observation of the bending of light by mass, now known as gravitational lensing, was key in establishing general relativity as one of the pillars of modern physics. In the past couple of decades, there has been increasing interest in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Arthur B. Congdon , Savitri V. Iyer , Charles R. Keeton

Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys.…

General Relativity and Quantum Cosmology · Physics 2016-12-05 Naoki Tsukamoto

In this paper we study the light bending caused by a slowly rotating source in the context of quadratic theories of gravity, in which the Einstein--Hilbert action is extended by additional terms quadratic in the curvature tensors. The…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Luca Buoninfante , Breno L. Giacchini
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