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Time-delay strong lensing (TDSL) is a powerful probe of the current expansion rate of the Universe. However, in light of the discrepancies between early and late-time cosmological studies, efforts revolve around the characterisation of…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-28 A. Yıldırım , S. H. Suyu , G. C. -F. Chen , E. Komatsu

Gravitational lensing of distant objects caused by gravitational tidal forces from inhomogeneities in the universe is weak in most cases, but it is noticed that it gives a great deal of information about the universe, especially regarding…

Astrophysics · Physics 2008-11-26 Kenji Tomita , Premana Premadi , Takahiro T. Nakamura

This paper studies gravitational lensing degeneracies in the wave-optics regime, focusing on lensed gravitational waves (GWs). Considering lensing degeneracies as re-scaling (or transformations) of arrival time delay surface, we can divide…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Ashish Kumar Meena

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

We have previously reported the discovery of strong gravitational lensing by faint elliptical galaxies using the WFPC2 on HST and here we investigate their potential usefulness in putting constraints on lens mass models. We compare various…

Astrophysics · Physics 2009-11-06 Adam Knudson , Kavan U. Ratnatunga , Richard E. Griffith

Measured time delays between the images of a gravitationally lensed source can lead to a determination of the Hubble constant ($H_o$), but only if the lensing mass distribution is well understood. The inability to sufficiently constrain…

Astrophysics · Physics 2007-05-23 D. Rusin

When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local…

Astrophysics · Physics 2007-05-23 Jin H. An

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

Gravitational wave (GW) galaxy lens reconstruction is a crucial step for many GW lensing science applications. However, dark siren GW lensing (i.e. lensed GW without observed electromagnetic (EM) counterpart) suffers from similarity…

High Energy Astrophysical Phenomena · Physics 2024-06-17 Jason S. C. Poon , Stefano Rinaldi , Justin Janquart , Harsh Narola , Otto A. Hannuksela

Time-delay cosmography with gravitationally lensed quasars plays an important role in anchoring the absolute distance scale and hence measuring the Hubble constant, $H_{0}$, independent of traditional distance ladder methodology. A current…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-04 Geoff C. -F. Chen , Christopher D. Fassnacht , Sherry H. Suyu , Akın Yıldırım , Eiichiro Komatsu , Jose Luis Bernal

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…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

We present a detailed strong lensing analysis of an HST/ACS legacy dataset for the first gravitational lens, Q0957+561. With deep imaging we identify 24 new strongly lensed features, which we use to constrain mass models. We model the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Ross Fadely , Charles R. Keeton , Reiko Nakajima , Gary M. Bernstein

In the context of strong gravitational lensing, the magnification of image is of crucial importance to constrain various lens models. For several commonly used quadruple lens models, the magnification invariants, defined as the sum of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Chengliang Wei , Zhe Chu , Yiping Shu

We discuss a simple parameter degeneracy in lens models which follows directly from the well known mass sheet degeneracy and prevents determining the radial mass distribution from lensing alone for many systems. For cosmological important…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Sjur Refsdal

Strong gravitational lensing is a competitive tool to probe the dark matter and energy content of the Universe. However, significant uncertainties can arise from the choice of lens model, and in particular the parameterisation of the line…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-29 Daniel Johnson , Pierre Fleury , Julien Larena , Lucia Marchetti

Strong gravitational lensing of time variable sources such as quasars and supernovae creates observable time delays between the multiple images. Time delays can provide a powerful cosmographic probe through the "time delay distance"…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-18 Alireza Hojjati , Alex G. Kim , Eric V. Linder

Strong-lensing time delays enable measurement of the Hubble constant ($H_{0}$) independently of other traditional methods. The main limitation to the precision of time-delay cosmography is mass-sheet degeneracy (MSD). Some of the previous…

Gravitational lensing describes the bending of the trajectories of light and gravitational waves due to the gravitational potential of a massive object. Strong lensing by galaxies can create multiple images with different overall…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Simon M. C. Yeung , Mark H. Y. Cheung , Joseph A. J. Gais , Otto A. Hannuksela , Tjonnie G. F. Li

When traveling from their source to the observer, gravitational waves can get deflected by massive objects along their travel path. When the lens is massive enough and the source aligns closely with the line-of-sight to the lens, the wave…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Justin Janquart , Anupreeta More , Chris Van Den Broeck

The offset microlensing degeneracy, recently proposed by Zhang et al. (2022), has been shown to generalize the close-wide and inner-outer caustic degeneracies into a unified regime of magnification degeneracy in the interpretation of 2-body…

Earth and Planetary Astrophysics · Physics 2022-09-13 Keming Zhang , B. Scott Gaudi