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Gravitational lensing provides a means to measure mass that does not rely on detecting and analysing light from the lens itself. Compact objects are ideal gravitational lenses, because they have relatively large masses and are dim. In this…

Instrumentation and Methods for Astrophysics · Physics 2017-06-15 A. J. Harding , R. Di Stefano , S. Lépine , J. Urama , D. Pham , C. Baker

According to the theory of general relativity, masses deflect light in a way similar to convex glass lenses. This gravitational lensing effect is astigmatic, giving rise to image distortions. These distortions allow to quantify cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Matthias Bartelmann , Matteo Maturi

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi

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

We use Keck laser guide star adaptive optics imaging and exploit the magnifying effects of strong gravitational lensing (the effective resolution is FWHM ~ 200 pc) to investigate the sub-kpc scale of an intermediate-redshift (z = 0.63)…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 M. W. Auger , T. Treu , B. J. Brewer , P. J. Marshall

The distance-redshift relation determined by means of gravitational waves in the clumpy universe is simulated numerically by taking into account the effects of gravitational lensing. It is assumed that all of the matter in the universe…

Astrophysics · Physics 2008-11-26 Chul-Moon Yoo , Ken-ichi Nakao , Hiroshi Kozaki , Ryuichi Takahashi

We first define what we mean by gravitational lensing equations in a general space-time. A set of exact relations are then derived that can be used as the gravitational lens equations in all physical situations. The caveat is that into…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Simonetta Frittelli , Ezra T. Newman

Weak gravitational lensing of distant galaxies can probe the total projected mass distribution of foreground gravitational structures on all scales and has been used successfully to map the projected mass distribution of rich intermediate…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke , Y. Mellier

We use the non-observation of strong lensing of gravitational waves (GWs) in the first three observation runs of LIGO-Virgo detectors to constrain the fraction of dark matter in the form of compact objects in the mass range…

General Relativity and Quantum Cosmology · Physics 2024-05-28 A. Barsode , S. J. Kapadia , P. Ajith

We study the gravitational lensing influence of a massive object in a dark matter halo, using a simple model of a point mass embedded in a spherical Navarro--Frenk--White halo. Building on the analysis of critical curves and caustics…

Astrophysics of Galaxies · Physics 2022-03-14 Michal Karamazov , David Heyrovsky

Gravitational lensing is the deflection of light rays due to the gravity of intervening masses. This phenomenon is observed in a variety of scales and configurations, involving any non-uniform mass such as planets, stars, galaxies, clusters…

We model the massive dark object at the center of the Galaxy as a Schwarzschild black hole as well as Janis-Newman-Winicour naked singularities, characterized by the mass and scalar charge parameters, and study gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. S. Virbhadra , C. R. Keeton

Every signal propagating through the universe is diffracted by the gravitational fields of intervening objects, aka gravitational lenses. Diffraction is most efficient when caused by compact lenses, which invariably produce additional…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Miguel Zumalacárregui

Gravitational lensing has emerged as a powerful probe of the matter distribution on subgalactic scales, which itself may contain important clues about the fundamental origins and properties of dark matter. Broadly speaking, two different…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-29 Francis-Yan Cyr-Racine , Charles R. Keeton , Leonidas A. Moustakas

We review progress in understanding dark matter by astrophysics, and particularly via the effect of gravitational lensing. Evidence from many different directions now all imply that five sixths of the material content of the universe is in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Richard Massey , Thomas Kitching , Johan Richard

In this article, we study regular scale-dependent black holes as gravitational lenses. We obtain the deflection angle in the strong deflection limit, from which we calculate the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Carlos M. Sendra

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

Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

Extreme gravitational lensing refers to the bending of photon trajectories that pass very close to supermassive black holes and that cannot be described in the conventional weak deflection limit. A complete analytical description of the…

General Relativity and Quantum Cosmology · Physics 2010-11-11 V. Bozza

A radio-based search for strong gravitational lensing, with image separations in the range 160-300 milliarcsec (mas), has yielded a null result for a sample of 1665 sources (Augusto, Wilkinson & Browne 1998) whose mean redshift is estimated…

Astrophysics · Physics 2009-10-31 Pedro Augusto , Peter N. Wilkinson