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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…

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

In recent years, breakthroughs in methods and data have enabled gravitational time delays to emerge as a very powerful tool to measure the Hubble constant $H_0$. However, published state-of-the-art analyses require of order 1 year of expert…

We have built a new model for the lens system SDSS J1004+4112 including the recently measured time delay of the fourth quasar image. This time delay has a strong influence on the inner mass distribution of the lensing cluster ($\rho \propto…

Astrophysics of Galaxies · Physics 2022-09-28 R. Forés-Toribio , J. A. Muñoz , C. S. Kochanek , E. Mediavilla

Using the relation between distance modulus $(m - M)$ and redshift $z$, deduced from Friedman- Robertson-Walker (FRW) metric and assuming different values of deceleration parameter $q_0$. We constrained the Hubble parameter $h$. The…

General Physics · Physics 2016-06-03 C. C. Onuchukwu , A. C. Ezeribe

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

An attempt to measure the Hubble constant with gravitational lens time delays is often limited by the strong degeneracy between radial mass profiles of lens galaxies and the Hubble constant. We show that strong gravitational lensing of type…

Astrophysics · Physics 2009-11-07 Masamune Oguri , Yozo Kawano

Time-delay strong lensing provides a unique way to directly measure the Hubble constant ($H_{0}$). The precision of the $H_{0}$ measurement depends on the uncertainties in the time-delay measurements, the mass distribution of the main…

Strongly lensed quasars can provide measurements of the Hubble constant ($H_{0}$) independent of any other methods. One of the key ingredients is exquisite high-resolution imaging data, such as Hubble Space Telescope (HST) imaging and…

The possible time variation of the fundamental constants of nature has been an active subject of research in modern physics. In this paper, we propose a new method to investigate such possible time variation of the speed of light $c$ using…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-07 Yuting Liu , Shuo Cao , Marek Biesiada , Yujie Lian , Xiaolin Liu , Yilong Zhang

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

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

The discrepancy between the Hubble constant $H_0$ values derived from early-time and late-time measurements, reaching up to $4\sigma$, represents the most serious challenge in modern cosmology and astrophysics. In this work, we investigate…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-18 Mauricio Lopez-Hernandez , Josue De-Santiago

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

We present a new analysis of the presently available photometric data for the gravitationally lensed quasar 0957+561 A,B with the aim of determining the time delay between its two images. The basic method used is the dispersion estimation…

Astrophysics · Physics 2016-08-30 Jaan Pelt , Rainer Kayser , Sjur Refsdal , Thomas Schramm

We consider several well-known f(R) cosmological models and constrain their parameters, namely the deviation parameter b and the cosmological parameters \Omega_m and h. We first obtain analytical approximations for the Hubble rate H(z) and…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-29 Joseph Sultana , Manoj K. Yennapureddy , Fulvio Melia , Demosthenes Kazanas

We study gravitational lens time delays for a general family of lensing potentials, which includes the popular singular isothermal elliptical potential and singular isothermal elliptical density distribution but allows general angular…

Astrophysics · Physics 2016-08-30 H. J. Witt , S. Mao , C. R. Keeton

Gravitationally lensed Type Ia supernovae are an emerging probe with great potential for constraining dark energy, spatial curvature, and the Hubble constant. The multiple images and their time delayed and magnified fluxes may be…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-25 Mikhail Denissenya , Satadru Bag , Alex G. Kim , Eric V. Linder , Arman Shafieloo

We present new light curves for the four bright images of the five image cluster-lensed quasar gravitational lens system SDSS~J1004+4112. The light curves span 14.5 yr and allow measurement of the time delay between the trailing bright…

Astrophysics of Galaxies · Physics 2022-09-28 J. A. Muñoz , C. S. Kochanek , J. Fohlmeister , J. Wambsganss , E. Falco , R. Forés-Toribio

While time-delay lenses can be an independent probe of $H_0$ the estimates are degenerate with the convergence of the lens near the Einstein radius. Velocity dispersions, $\sigma$, can be used to break the degeneracy, with uncertainties…

Astrophysics of Galaxies · Physics 2026-02-05 R. Forés-Toribio , C. S. Kochanek , J. A. Muñoz