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The potential of gravitational lenses for providing direct, physical measurements of the Hubble constant, free from systematic errors associated with the traditional distance ladder, has long been recognized. However, it is only recently…

天体物理学 · 物理学 2007-05-23 Roger D. Blandford , Tomislav Kundic

We have worked out simple analytical formulae that accurately approximate the relationship between the position of the source with respect to the lens center and the amplification of the images, hence the lens cross section, for realistic…

宇宙学与河外天体物理 · 物理学 2015-06-05 A. Lapi , M. Negrello , J. Gonzalez-Nuevo , Z. -Y. Cai , G. De Zotti , L. Danese

We investigate the effects of gravitational lensing in the binary pulsar system J0737-3039. Current measurement of the orbital inclination allows the millisecond pulsar (A) to pass very close (at R_{min}=4000 km) in projection to the…

天体物理学 · 物理学 2009-11-10 Dong Lai , Roman R. Rafikov

Gravitational lensing in metric theories of gravity is discussed. I introduce a generalized approximate metric element, inclusive of both post-post-Newtonian (ppN) contributions and gravito-magnetic field. Following Fermat's principle and…

天体物理学 · 物理学 2009-11-07 M. Sereno

Image distortion due to weak gravitational lensing is examined using a non-perturbative method of integrating the geodesic deviation and optical scalar equations along the null geodesics connecting the observer to a distant source. The…

广义相对论与量子宇宙学 · 物理学 2011-09-28 Thomas P. Kling , Louis Bianchini

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

Strong gravitational lensing at the galaxy scale is a valuable tool for various applications in astrophysics and cosmology. The primary uses of galaxy-scale lensing are to study elliptical galaxies' mass structure and evolution, constrain…

星系天体物理 · 物理学 2025-04-08 A. J. Shajib , G. Vernardos , T. E. Collett , V. Motta , D. Sluse , L. L. R. Williams , P. Saha , S. Birrer , C. Spiniello , T. Treu

In this manuscript, we provide a comprehensive study of gravitational lensing by dark compact objects predicted by a Modified Gravity (MOG) based on the Scalar-Vector-Tensor action, and the aim is to analyze new insights into the nature of…

广义相对论与量子宇宙学 · 物理学 2025-03-07 Nagina Rehman , Zoe C. S. Chan , Mubasher Jamil , Mustapha Azreg-Aïnou

We calculate the deflection angle, as well as the positions and magnifications of the lensed images, in the case of covariant $f(T)$ gravity. We first extract the spherically symmetric solutions for both the pure-tetrad and the covariant…

宇宙学与河外天体物理 · 物理学 2021-10-26 Xin Ren , Yaqi Zhao , Emmanuel N. Saridakis , Yi-Fu Cai

Strong gravitational lensing provides an independent measurement of the Hubble parameter ($H_0$). One remaining systematic is a bias from the additional mass due to a galaxy group at the lens redshift or along the sightline. We quantify…

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

广义相对论与量子宇宙学 · 物理学 2022-06-06 Slava G. Turyshev , Viktor T. Toth

We propose a definition of an exact lens equation without reference to a background spacetime, and construct the exact lens equation explicitly in the case of Schwarzschild spacetime. For the Schwarzschild case, we give exact expressions…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

In this paper, we investigate the strong gravitational lensing by the stationary, axially-symmetric black hole in Kerr-Taub-NUT spacetime in the strong field limit. The deflection angle of light ray and other strong deflection limit…

高能物理 - 理论 · 物理学 2015-03-19 Shao-Wen Wei , Yu-Xiao Liu , Chun-E Fu , Ke Yang

We discuss a possible extension of calculations of the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime to a non-asymptotically flat case. We examine a relation between the bending angle of light…

广义相对论与量子宇宙学 · 物理学 2016-10-19 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Takao Kitamura , Hideki Asada

It is shown which properties of a strong gravitational lens can in principle be recovered from observations of multiple extended images when no assumptions are made about the deflector or sources. The mapping between individual multiple…

宇宙学与河外天体物理 · 物理学 2016-12-21 Nicolas Tessore

We investigate gravitational lensing in the Palatini approach to the f(R) extended theories of gravity. Starting from an exact solution of the f(R) field equations, which corresponds to the Schwarzschild-de Sitter metric and, on the basis…

天体物理学 · 物理学 2009-07-22 Matteo Luca Ruggiero

The increasingly large numbers of multiple images in cluster-scale gravitational lenses have allowed for tighter constraints on the mass distributions of these systems. Most lens models have progressed alongside this increase in image…

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…

宇宙学与河外天体物理 · 物理学 2017-03-08 Alan Heavens

Observations of galaxy-scale strong gravitational lensing (SGL) systems have enabled unique tests of nonlinear departures from general relativity (GR) on the galactic and supergalactic scales. One of the most important cases of such tests…

宇宙学与河外天体物理 · 物理学 2022-12-14 Yujie Lian , Shuo Cao , Tonghua Liu , Marek Biesiada , Zong-Hong Zhu

Near a gravitating compact object, massive particles traveling along timelike geodesics are gravitationally deflected similarly to light. In this paper, we study the deflection angles of these particles in the strong deflection limit. This…

广义相对论与量子宇宙学 · 物理学 2026-03-12 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko