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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

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Haida Li , Xiangdong Zhang

Adopting the strong field limit approach, we investigate the strong gravitational lensing of a spherically symmetric spacetime in the Einstein-Proca theory. With the strong field limit coefficient, three observable quantities are obtained,…

General Physics · Physics 2015-07-19 Guoping Li , Yan Zhang , Li Zhang , Zhongwen Feng , Xiaotao Zu

We compute the deflection angle to order (m/r_0)^2 and m/r_0*Lambda r_0^2 for a light ray traveling in a flat LambdaCDM cosmology which encounters a completely condensed mass region. We use a Swiss cheese model for the inhomogeneities and…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Ronald Kantowski , Bin Chen , Xinyu Dai

Gravitational lensing time delays are well known to depend on cosmological parameters, but they also depend on the details of the mass distribution of the lens. It is usual to model the mass distribution and use time-delay observations to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Irshad Mohammed , Prasenjit Saha , Jori Liesenborgs

As a fundamental parameter for modern cosmology, the Hubble constant $H_0$ is experiencing a serious crisis. In this paper, we explore an independent approach to measure $H_0$ based on the time-delay cosmography with strong gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-11 Yuting Liu , Masamune Oguri , Shuo Cao

We extend the study of gravitational lensing to photons traversing the lens mass, modeled as a uniform-density fluid described by the interior Kottler (Schwarzschild--de Sitter) solution smoothly matched to the exterior Kottler region. An…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Mourad Guenouche

Strong lensing time delay measurements provide a valuable and almost model-independent tool for cosmological investigations. In this work we recognize that they also carry information on the strength of the gravitational coupling at the…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-11 Leonardo Giani , Emmanuel Frion

Time delay in galaxy gravitational lensing systems has been used to determine the value of Hubble constant. As in other dynamical phenomena at the scale of galaxy, dark matter is often invoked in gravitational lensing to account for the…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-10 Yong Tian , Chung-Ming Ko , Mu-Chen Chiu

Time delay lensing is a mature and competitive cosmological probe. However, it is limited in accuracy by the well-known problem of the mass-sheet degeneracy: too rigid assumptions on the density profile of the lens can potentially bias the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Alessandro Sonnenfeld

The light we observe from distant astrophysical objects including supernovae and quasars allows us to determine large distances in terms of a cosmological model. Despite the success of the standard cosmological model in fitting the data,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-07 Angela L. H. Ng

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

General Relativity and Quantum Cosmology · Physics 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

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

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…

While the Hubble constant can be derived from observable time delays between images of lensed quasars, the result is often highly sensitive to assumptions and systematic uncertainties in the lensing model. Unlike most previous authors we…

Astrophysics · Physics 2009-10-31 HongSheng Zhao , Danny Pronk

This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 Mustapha Ishak , Wolfgang Rindler

In this paper we have investigated the gravitational lensing in a spherically symmetric spacetime with torsion in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity by considering higher order terms. The torsion…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Lu Zhang , Songbai Chen , Jiliang Jing

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

Astrophysics · Physics 2008-11-26 M. Sereno

Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass $M$ and an…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Kimet Jusufi , Nayan Sarkar , Farook Rahaman , Ayan Banerjee , Sudan Hansraj

The phenomenon of cosmic shear, or distortion of images of distant sources unaccompanied by magnification, is an effective way of probing the content and state of the foreground Universe, because light rays do not have to pass through mass…

Astrophysics · Physics 2009-11-13 Richard Lieu