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The four observables associated with gravitational lensing of distant quasars by intervening galaxies: image splittings, relative amplifications, time delays, and optical depths, provide separate measures of the strength of the…

Astrophysics · Physics 2009-08-18 Lawrence Krauss , Martin White

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

We investigate the use of approximate Bayesian neural networks (BNNs) in modeling hundreds of time-delay gravitational lenses for Hubble constant ($H_0$) determination. Our BNN was trained on synthetic HST-quality images of strongly lensed…

Instrumentation and Methods for Astrophysics · Physics 2021-04-13 Ji Won Park , Sebastian Wagner-Carena , Simon Birrer , Philip J. Marshall , Joshua Yao-Yu Lin , Aaron Roodman

We present the measurement of the Hubble Constant, $H_0$, with three strong gravitational lens systems. We describe a blind analysis of both PG1115+080 and HE0435-1223 as well as an extension of our previous analysis of RXJ1131-1231. For…

Considerable progress has been made in determining the Hubble constant over the past two decades. We discuss the cosmological context and importance of an accurate measurement of the Hubble constant, and focus on six high-precision…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Wendy L. Freedman , Barry F. Madore

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

Although the Hubble constant $H_0$ and spatial curvature $\Omega_{K}$ have been measured with very high precision, they still suffer from some tensions. In this paper, we propose an improved method to combine the observations of…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Jing-Zhao Qi , Jia-Wei Zhao , Shuo Cao , Marek Biesiada , Yuting Liu

The measurement of the Hubble constant $H_0$ plays an important role in the study of cosmology. In this letter, we propose a new method to constrain the Hubble constant using the strongly lensed gravitational wave (GW) signals. By…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-09 Shun-Jia Huang , Yi-Ming Hu , Xian Chen , Jian-dong Zhang , En-Kun Li , Zucheng Gao , Xin-Yi Lin

The time delays of gravitationally lensed quasars are generally believed to be unique numbers whose measurement is limited only by the quality of the light curves and the models for the contaminating contribution of gravitational…

Astrophysics of Galaxies · Physics 2017-10-25 S. S. Tie , C. S. Kochanek

Lensed quasars and supernovae can be used to study galaxies' gravitational potential and measure cosmological parameters. The typical image separation of objects lensed by galaxies is of the order of 0.5". Therefore, finding the ones with…

Instrumentation and Methods for Astrophysics · Physics 2021-09-01 Ofer M. Springer , Eran O. Ofek

We present the lens mass model of the quadruply-imaged gravitationally lensed quasar WFI2033-4723, and perform a blind cosmographical analysis based on this system. Our analysis combines (1) time-delay measurements from 14 years of data…

A degeneracy in strong lens model is shown analytically. The observed time delays and quasar image positions might {\it not} uniquely determine the concentration and the extent of the lens galaxy halo mass distribution. Simply hardwiring…

Astrophysics · Physics 2009-11-07 HongSheng Zhao , Bo Qin

Strong gravitational lensing provides a geometric probe of cosmology in a unique manner through distance ratios involving the source and lens. This is well known for the time delay distance derived from measured delays between lightcurves…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-12 Eric V. Linder

We propose a novel means of directly measuring cosmological distances using scintillated microlensing of fast radio bursts (FRBs). In standard strong lensing measurements of cosmic expansion, the main source of systematic uncertainty lies…

Instrumentation and Methods for Astrophysics · Physics 2024-02-06 Anna Tsai , Dylan L. Jow , Daniel Baker , Ue-Li Pen

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

It is well known that measurements of H0 from gravitational lens time delays scale as H0~1-k_E where k_E is the mean convergence at the Einstein radius R_E but that all available lens data other than the delays provide no direct constraints…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 C. S. Kochanek

The Hubble constant ($H_0$) is one of the fundamental parameters in cosmology, but there is a heated debate around the $>$4$\sigma$ tension between the local Cepheid distance ladder and the early Universe measurements. Strongly lensed Type…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-14 S. Huber , S. H. Suyu , D. Ghoshdastidar , S. Taubenberger , V. Bonvin , J. H. H. Chan , M. Kromer , U. M. Noebauer , S. A. Sim , L. Leal-Taixé

The Hubble constant, $H_0$, which is a crucial parameter in astrophysics and cosmology, is under significant tension. We explore an independent technique to measure $H_0$ based on the time-delay cosmography with strong gravitational lensing…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-13 Yuting Liu , Masamune Oguri

Pulsar timing arrays (PTAs) are searching for gravitational waves from supermassive black hole binaries (SMBHBs). Here we show how future PTAs could use a detection of gravitational waves from individually resolved SMBHB sources to produce…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-13 Casey McGrath , Daniel J. D'Orazio , Jolien Creighton

One challenge in strong gravitational lensing cosmography is the measurement of time delays between multiple lensed images, which are essential for constraining the Hubble constant (\(H_0\)). In this study, we investigate how assumptions…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 Guanhua Rui , Bin Hu , Wei Du