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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

The Hubble constant ($H_0$), a crucial parameter in cosmology, quantifies the expansion rate of the universe so its precise measurement is important to understand the fundamental dynamics of our evolving universe. One of the major…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Narayan Khadka , Simon Birrer , Alexie Leauthaud , Holden Nix

Strong Lensing is a powerful probe of the matter distribution in galaxies and clusters and a relevant tool for cosmography. Analyses of strong gravitational lenses with Deep Learning have become a popular approach due to these astronomical…

Strongly gravitational lensed quasars can be used to measure the so-called time-delay distance $D_{\Delta t}$, and thus the Hubble constant $H_0$ and other cosmological parameters. Stellar kinematics of the deflector galaxy play an…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-17 Anowar J. Shajib , Tommaso Treu , Adriano Agnello

We examine the ability of gravitational lens time delays to reveal complex structure in lens potentials. In Congdon, Keeton & Nordgren (2008), we predicted how the time delay between the bright pair of images in a "fold" lens scales with…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Arthur B. Congdon , Charles R. Keeton , C. Erik Nordgren

A small fraction of gravitational-wave (GW) signals from binary black holes (BBHs) will be gravitationally lensed by intervening galaxies and galaxy clusters. Strong lensing will produce multiple identical copies of the GW signal arriving…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Koustav N. Maity , Souvik Jana , Tejaswi Venumadhav , Ankur Barsode , Parameswaran Ajith

Gravitational time delays offer unique, independent measurements of the Hubble constant, $H_0$. Precise measurements of $H_0$ stand as one of the most pressing challenges in modern cosmology, and to do so with time delays requires precise…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 D. M. Williams , T. Treu , S. Birrer , A. J. Shajib , K. C. Wong , T. Morishita , T. Schmidt , M. Stiavelli

The time delay measured between the images of gravitationally lensed quasars probes a combination of the angular diameter distance to the source-lens system and the mass density profile of the lens. Observational campaigns to measure such…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Kfir Blum , Emanuele Castorina , Marko Simonović

The gravitational lens CLASS B1608+656 is the only four-image lens system for which all three independent time delays have been measured. This makes the system an excellent candidate for a high-quality determination of H_0 at cosmological…

Astrophysics · Physics 2009-11-07 C. D. Fassnacht , E. Xanthopoulos , L. V. E. Koopmans , D. Rusin

We present a joint strong lensing and stellar dynamical framework for future time-delay cosmography purposes. Based on a pixelated source reconstruction and the axisymmetric Jeans equations, we are capable of constraining cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Akın Yıldırım , Sherry H. Suyu , Aleksi Halkola

The 0th, 1st and 2nd derivatives of a ``Fermat potential'' give the three D's of gravitational lensing: delay, deflection and distortion. Observations of these delays, deflections and distortions for doubly and quadruply imaged quasars give…

Astrophysics · Physics 2007-05-23 Paul L. Schechter

In principle, the most straightforward method of estimating the Hubble constant relies on time delays between mirage images of strongly-lensed sources. It is a puzzle, then, that the values of H0 obtained with this method span a range from…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Anna Barnacka , Margaret Geller , Ian P. Dell'Antonio , Wystan Benbow

Measurements of The Hubble-Lemaitre constant from early- and local-universe observations show a significant discrepancy. In an attempt to understand the origin of this mismatch, independent techniques to measure H0 are required. One such…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 Nan Li , Christoph Becker , Simon Dye

This paper presents optical R-band light curves and the time delay of the doubly imaged gravitationally lensed quasar SDSS J1001+5027 at a redshift of 1.838. We have observed this target for more than six years, between March 2005 and July…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-29 S. Rathna Kumar , M. Tewes , C. S. Stalin , F. Courbin , I. Asfandiyarov , G. Meylan , E. Eulaers , T. P. Prabhu , P. Magain , H. Van Winckel , Sh. Ehgamberdiev

We present a measurement of the Hubble constant ($H_{0}$) and other cosmological parameters from a joint analysis of six gravitationally lensed quasars with measured time delays. All lenses except the first are analyzed blindly with respect…

The standard siren approach of gravitational wave cosmology appeals to the direct luminosity distance estimation through the waveform signals from inspiralling double compact binaries, especially those with electromagnetic counterparts…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-30 Kai Liao , Xi-Long Fan , Xu-Heng Ding , Marek Biesiada , Zong-Hong Zhu

We present optical I-band light curves of the gravitationally lensed double QSO B1600+434 from observations obtained at the Nordic Optical Telescope (NOT) between April 1998 and November 1999. The photometry has been performed by…

Strong gravitational lensing time-delay measurements, together with the distance sum rule (DSR), offer a model-independent approach to probe the geometry and expansion of the universe without relying on a fiducial cosmological model. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan

The combination of deep exposures and high resolution offered by telescopes in space allows the detection of lensing over a wide range of source redshifts and lens masses. As an example, we model a lens candidate found in the southern…

Astrophysics · Physics 2007-05-23 Rennan Barkana , David Hogg , Abraham Loeb , Roger Blandford

The time delay between multiple images of strongly lensed quasars is a powerful tool for measuring the Hubble constant (H0). To achieve H0 measurements with higher precision and accuracy using the time delay, it is crucial to expand the…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-14 C. Dawes , C. Storfer , X. Huang , G. Aldering , A. Cikota , A. Dey , D. J. Schlegel