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The Hubble constant can be constrained using the time delays between multiple images of gravitationally lensed sources. In some notable cases, typical lensing analyses assuming isothermal galaxy density profiles produce low values for the…

Astrophysics · Physics 2008-07-29 Virginia L. Corless , Benjamin M. Dobke , Lindsay J. King

One application of the Cosmological Gravitational Lensing in General Relativity is the measurement of the Hubble constant H_0 using the time delay Delta t between multiple images of lensed quasars. This method has already been applied,…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-27 Nicola Alchera , Marco Bonici , Nicola Maggiore

We present a simple mass model for the lensing galaxy in the gravitationally lensed quasar 0957+561. The model is a generalization of the singular isothermal sphere and includes a core radius, $r_c$, and a power-law index, $\eta$, defined…

Astrophysics · Physics 2009-10-28 Norman A. Grogin , Ramesh Narayan

We present a refined gravitational lens model of the four-image lens system B1608+656 based on new and improved observational constraints: (i) the three independent time-delays and flux-ratios from VLA observations, (ii) the radio-image…

Astrophysics · Physics 2009-11-07 L. V. E. Koopmans , T. Treu , C. D. Fassnacht , R. D. Blandford , G. Surpi

We consider the dispersion on the supernova distance-redshift relation due to peculiar velocities and gravitational lensing, and the sensitivity of these effects to the amplitude of the matter power spectrum. We use the MeMo lensing…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Edward Macaulay , Tamara M. Davis , Dario Scovacricchi , David Bacon , Thomas E. Collett , Robert C. Nichol

Given the tension between the values of the Hubble parameter $H_0$ inferred from the cosmic microwave background (CMB) and from supernovae, attention is turning to time delays of strongly lensed quasars. Current time-delay measurements…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-06 Julian B. Muñoz , Marc Kamionkowski

While the recent discovery of the Cepheid variables in the Virgo cluster galaxies puts additional support for the Hubble constant $H_0 \sim 80$km/sec/Mpc, a relatively lower value $H_0 \sim 50$km/sec/Mpc is suggested by other distance…

Astrophysics · Physics 2017-02-01 Y. Suto , T. Suginohara , Y. Inagaki

We examine models of the mass distribution for the first known case of gravitational lensing. Several new sets of constraints are used, based on recent observations. We remodel the VLBI observations of the radio jets in the two images of…

Strongly lensed supernovae (glSNe) provide a powerful, independent method to measure the Hubble constant, $H_{0}$, through time delays between their multiple images. The accuracy of this measurement depends critically on both the precision…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-05 Yushan Xie , Huanyuan Shan , Yiping Shu , Nan Li , Ji Yao , Ran Li , Xiaoyue Cao , Zizhao He , Yin Li , Eric Jullo , Jean-Paul Kneib , Guoliang Li

We show how the distances to binary black holes measured in gravitational wave observations with ground-based interferometers can be used to constrain the redshift-distance relation and, thereby, measure the Hubble constant ($H_0$).…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-05 Remya Nair , Sukanta Bose , Tarun Deep Saini

Optical photometry is presented for the quadruple gravitational lens PG1115+080. A preliminary reduction of data taken from November 1995 to June 1996 gives component ``C'' leading component ``B'' by 23.7+/-3.4 days and components ``A1''…

The quadruple system PG 1115+080 is the second gravitational lens with a reported measurement of the Hubble constant. In addition to the primary lens, three nearby galaxies are believed to contribute significantly to the lensing potential.…

Astrophysics · Physics 2009-10-30 Tomislav Kundic , Judith G. Cohen , Roger D. Blandford , Lori M. Lubin

Gravitational lens time delays depend on the Hubble constant, the observed image positions, and the surface mass density of the lens in the annulus between the images. Simple time delay lenses like PG1115+080, SBS1520+530, B1600+434,…

Astrophysics · Physics 2008-11-26 C. S. Kochanek

In this work, we obtain measurements of the Hubble constant in the context of modified gravity theories. We set up our theoretical framework by considering viable cosmological $f(R)$ and $f(T)$ models, and we analyzed them through the use…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-07 Rocco D'Agostino , Rafael C. Nunes

Gravitational lensing of high-redshift supernovae is potentially an important source of uncertainty when deriving cosmological parameters from the measured brightness of Type Ia supernovae, especially in deep surveys with scarce statistics.…

The time delay between appearances of multiple images of a gravitationally lensed supernova (glSN) is sensitive to the Hubble constant, $H_0$. As well as time delays, a lensed host galaxy is needed to enable precise inference of $H_0$. In…

Gravitationally lensed Type Ia supernovae may be the next frontier in cosmic probes, able to deliver independent constraints on dark energy, spatial curvature, and the Hubble constant. Measurements of time delays between the multiple images…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-06 Satadru Bag , Alex G. Kim , Eric V. Linder , Arman Shafieloo

Time delays in strong gravitational lensing systems possess significant complementarity with distance measurements to determine the dark energy equation of state, as well as the matter density and Hubble constant. Time delays are most…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-04 Eric V. Linder

Strong gravitational lens systems with measured time delays between the multiple images provide a method for measuring the "time-delay distance" to the lens, and thus the Hubble constant. We present a Bayesian analysis of the strong…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-08 S. H. Suyu , P. J. Marshall , M. W. Auger , S. Hilbert , R. D. Blandford , L. V. E. Koopmans , C. D. Fassnacht , T. Treu

Measurement of the time delay between multiple images of a gravitational lens system is potentially an accurate method of determining the Hubble constant over cosmological distances. One of the most promising candidates for an application…

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