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Gravitational lensing has developed into one of the most powerful tools for the analysis of the dark universe. This review summarises the theory of gravitational lensing, its main current applications and representative results achieved so…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Matthias Bartelmann

Strong field gravitational lensing in the Brans-Dicke theory has been studied. The deflection angle for photons passing very close to the photon sphere is estimated for the static spherically symmetric space-time of the theory and the…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Kabita Sarkar , Arunava Bhadra

This course presents some applications of gravitational lensing to the measurement of masses of galaxies (galaxy-galaxy lensing, Eintein rings, perturbations of giant arcs) and cluster of galaxies (strong and weak lensing). This complements…

Astrophysics · Physics 2007-05-23 Y. Mellier

In these lectures I give an overview of gravitational lensing, concentrating on theoretical aspects, including derivations of some of the important results. Topics covered include the determination of surface mass densities of intervening…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Alan Heavens

Gravitational lensing is generally treated in the geometric optics limit; however, when the wavelength of the radiation approaches or exceeds the Schwarzschild radius of the lens, diffraction becomes important. Although the magnification…

Astrophysics of Galaxies · Physics 2015-05-18 Jeremy S. Heyl

The gravitational lensing of relativistic and nonrelativistic neutral massive particles in the black-bounce-Schwarzschild black hole spacetime is investigated in the strong deflection limit. Beginning with the explicit equations of motion…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

Gravitational Lensing is a UNIQUE tool to constrain the mass distribution of collapsed structures, this is particularly true for galaxies, either on a case by case basis using multiple images of background sources (such as quasars), or…

Astrophysics · Physics 2017-08-23 Jean-Paul Kneib

We investigate gravitational lensing by \textit{special} Buchdahl inspired metric with the Buchdahl parameter $\tilde{k}$. In strong deflection limit, we derive the deflection angle analytically for the light rays that diverge as photons…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Shafia Maryam , Mubasher Jamil , Mustapha Azreg-Aïnou , Zoe C S Chan

Large scale correlations in the orientations of galaxies can result from alignments in their angular momentum vectors. These alignments arise from the tidal torques exerted on neighboring proto-galaxies by the smoothly varying shear field.…

Astrophysics · Physics 2009-07-09 Robert G. Crittenden , Priyamvada Natarajan , Ue-Li Pen , Tom Theuns

Gravitational waves (GWs) from distant sources such as inspiralling and merging stellar-mass compact binaries, intermediate-mass and supermassive-binary-black-hole can be gravitationally lensed by intervening objects, ranging from stars and…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Zhiwei Chen , Youjun Lu

We describe how gravitational lensing of fast radio bursts (FRBs) is affected by a plasma screen in the vicinity of the lens or somewhere between the source and the observer. Wave passage through a turbulent medium affects gravitational…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Pawan Kumar , Paz Beniamini

Adopting the strong field limit approach, we investigated the strong gravitational lensing in a Brane-World black hole, which means that the strong field limit coefficients and the deflection angle in this gravitational field are obtained.…

General Relativity and Quantum Cosmology · Physics 2015-06-30 GuoPing Li , Biao Cao , Zhongwen Feng , Xiaotao Zu

The traditional perturbative method is applied to the case of gravitational lensing of planetary systems. A complete and detailed description of the structure of caustics for a system with an arbitrary number of planets can be obtained. I…

Astrophysics · Physics 2011-05-23 V. Bozza

The $ \gamma $-spacetime metric is a static and axially symmetric vacuum solution of the Einstein equation. This spacetime represents a naked singularity and it has an extra parameter $ \gamma $ which signifies deviations from spherical…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Hrishikesh Chakrabarty , Yong Tang

Studies of weak gravitational lensing by large-scale structures require the measurement of the distortions introduced to the shapes of distant galaxies at the few percent level by anisotropic light deflection along the line of sight. To…

Astrophysics · Physics 2009-11-07 Andrew W. Blain

The magnification effect due to gravitational lensing enhances the chances of detecting moderate-redshift ($z \sim 1$) sources in very-high-energy (VHE; $E > 100$ GeV) $\gamma$-rays by ground-based Atmospheric Cherenkov Telescope…

High Energy Astrophysical Phenomena · Physics 2016-11-15 Markus Boettcher , Hannes Thiersen

We investigate analytically gravitational lensing by charged, stationary, axially symmetric Kerr-Sen dilaton-axion black hole in the weak deflection limit. Approximate solutions to the lightlike equations of motion are present up to and…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Galin N. Gyulchev , Stoytcho S. Yazadjiev

We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

We consider a wave packet of a spin-1/2 particle in a gravitational field, the effect of which can be described in terms of a succession of local inertial frames. It is shown that integrating out of the momentum yields a spin mixed state,…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Yue Dai , Yu Shi
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