Hubble constant from the cluster-lensed quasar system SDSS 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">J</mml:mi><mml:mn>1004</mml:mn><mml:mo>+</mml:mo><mml:mn>4112</mml:mn></mml:mrow></mml:math>
: Investigation of the lens model dependence

Liu, Yuting; Oguri, Masamune; Cao, Shuo

doi:10.1103/physrevd.108.083532

Phys. Rev. D

2023

DOI: 10.1103/physrevd.108.083532

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Hubble constant from the cluster-lensed quasar system SDSS J1004+4112 : Investigation of the lens model dependence

Yuting Liu,

Masamune Oguri,

Shuo Cao

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Cited by 3 publications

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Time-Delay Cosmography: Measuring the Hubble Constant and Other Cosmological Parameters with Strong Gravitational Lensing

Birrer,

Millon,

Sluse

et al. 2024

Space Sci Rev

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Multiply lensed images of a same source experience a relative time delay in the arrival of photons due to the path length difference and the different gravitational potentials the photons travel through. This effect can be used to measure absolute distances and the Hubble constant ($H_{0}$ H 0 ) and is known as time-delay cosmography. The method is independent of the local distance ladder and early-universe physics and provides a precise and competitive measurement of $H_{0}$ H 0 . With upcoming observatories, time-delay cosmography can provide a 1% precision measurement of $H_{0}$ H 0 and can decisively shed light on the current reported ‘Hubble tension’. This manuscript details the general methodology developed over the past decades in time-delay cosmography, discusses recent advances and results, and, foremost, provides a foundation and outlook for the next decade in providing accurate and ever more precise measurements with increased sample size and improved observational techniques.

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Time-Delay Cosmography: Measuring the Hubble Constant and Other Cosmological Parameters with Strong Gravitational Lensing

Birrer,

Millon,

Sluse

et al. 2024

Space Sci Rev

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Parameter-free Hubble constant from the quadruply lensed quasar SDSS J1004+4112

Martínez-Arrizabalaga,

Diego,

Goicoechea

2024

A&A

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We present a free-form lens model for the multiply lensed quasar in the galaxy cluster SDSS J$1004+4112$. Our lens model draws minimal assumptions on the distribution of mass in the lens plane. We have paid particular attention to the model uncertainties on the predicted time delay originating from the particular configuration of model variables. Taking into account this uncertainty, we obtained a value of the Hubble constant of $H_0= 74^ parsec $, which is consistent with recent independent estimates. The predicted time delay between the central image E and image C (the first to arrive) is $ E-C 200$ days for the estimated Hubble constant. Future measurements of $ E-C $ will allow for a tighter constraint to be imposed on $H_0$ in this cluster-QSO system.

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Free-form and hybrid lens models for SDSS J1004+4112: substructure and central image time delay constraints

Perera,

Williams,

Liesenborgs

et al. 2023

Monthly Notices of the Royal Astronomical Society

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SDSS J1004+4112 is a well-studied gravitational lens with a recently measured time delay between its first and fourth arriving quasar images. Using this new constraint, we present updated free-form lens reconstructions using the lens inversion method grale, which only uses multiple image and time delay data as inputs. In addition, we obtain hybrid lens reconstructions by including a model of the brightest cluster galaxy as a Sersic lens. For both reconstructions, we use two sets of images as input: one with all identified images, and the other a revised set leaving out images that have been potentially misidentified. We also develop a source position optimization Markov chain Monte Carlo (MCMC) routine, performed on completed grale runs, that allows each model to better match observed image positions and time delays. All the reconstructions produce similar mass distributions, with the hybrid models finding a steeper profile in the centre. Similarly, all the mass distributions are fitted by the Navarro–Frenk–White profile, finding results consistent with previous parametric reconstructions and those derived from Chandra X-ray observations. We identify an ∼5 × 1011 M⊙ substructure apparently unaffiliated with any cluster member galaxy and present in all our models, and study its reality. Using our free-form and hybrid models, we predict a central quasar image time delay of ∼2980 ± 270 and ∼3280 ± 215 d, respectively. A potential future measurement of this time delay will, while being an observational challenge, further constrain the steepness of the central density profile.

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Hubble constant from the cluster-lensed quasar system SDSS J1004+4112 : Investigation of the lens model dependence

Cited by 3 publications

References 71 publications

Time-Delay Cosmography: Measuring the Hubble Constant and Other Cosmological Parameters with Strong Gravitational Lensing

Time-Delay Cosmography: Measuring the Hubble Constant and Other Cosmological Parameters with Strong Gravitational Lensing

Parameter-free Hubble constant from the quadruply lensed quasar SDSS J1004+4112

Free-form and hybrid lens models for SDSS J1004+4112: substructure and central image time delay constraints

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