Lensing time delays as a substructure constraint: a case study with the cluster SDSS~J1004+4112

Abstract

Gravitational lensing time delays are well known to depend on cosmological parameters, but they also depend on the details of the mass distribution of the lens. It is usual to model the mass distribution and use time-delay observations to infer cosmological parameters, but it is naturally also possible to take the cosmological parameters as given and use time delays as constraints on the mass distribution. This paper develops a method to isolate what exactly those constraints are, using a principal-components analysis of ensembles of free-form mass models. We find that time delays provide tighter constraints on the distribution of matter in the very high dense regions of the lensing clusters. We apply it to the cluster lens SDSS J1004+4112, whose rich lensing data includes two time delays. We find, assuming a concordance cosmology, that the time delays constrain the central region of the cluster to be rounder and less lopsided than would be allowed by lensed images alone. This detailed information about the distribution of the matter is very useful for studying the dense regions of the galaxy clusters which are very difficult to study with direct measurements. A further time-delay measurement, which is expected, will make this system even more interesting.

9 pages, 7 figures, Accepted for publication in PASJ

References in corpus (45)

• A Universal Density Profile from Hierarchical Clustering
• Response of dark matter halos to condensation of baryons: cosmological simulations and improved adiabatic contraction model
• Cusp-core transformations in dwarf galaxies: observational predictions
• Mass loss from dwarf spheroidal galaxies: the origins of shallow dark matter cores and exponential surface brightness profiles
• The Mass Distribution of SDSS J1004+4112 Revisited
• Multiple Images of a Highly Magnified Supernova Formed by an Early-Type Cluster Galaxy Lens
• Cosmological puzzle resolved by stellar feedback in high redshift galaxies
• Mass-sheet degeneracy, power-law models and external convergence: Impact on the determination of the Hubble constant from gravitational lensing
• Cosmology from gravitational lens time delays and Planck data
• A Gravitationally Lensed Quasar with Quadruple Images Separated by 14.62 Arcseconds
• Gravitational Lens Time Delays: A Statistical Assessment of Lens Model Dependences and Implications for the Global Hubble Constant
• Cusp-core transformations induced by AGN feedback in the progenitors of cluster galaxies
• A genetic algorithm for the non-parametric inversion of strong lensing systems
• Observations and Theoretical Implications of the Large Separation Lensed Quasar SDSS J1004+4112
• Non-parametric reconstruction of the galaxy-lens in PG1115+080
• The Rewards of Patience: An 822 Day Time Delay in the Gravitational Lens SDSS J1004+4112
• Phase-space mixing and the merging of cusps
• The Hubble time inferred from 10 time-delay lenses
• Discovery of Multiply Imaged Galaxies behind the Cluster and Lensed Quasar SDSS J1004+4112
• Discovery of a Fifth Image of the Large Separation Gravitationally Lensed Quasar SDSS J1004+4112
• The mass distribution of RX J1347-1145 from strong lensing
• A New Estimate of the Hubble Time with Improved Modeling of Gravitational Lenses
• Gravitational lensing model degeneracies: Is steepness all-important?
• Non-parametric Reconstruction of Abell 2218 from Combined Weak and Strong Lensing
• Non-parametric inversion of gravitational lensing systems with few images using a multi-objective genetic algorithm
• The Hidden Fortress: Structure and substructure of the complex strong lensing cluster SDSS J1029+2623
• The Hubble constant inferred from 18 time-delay lenses
• Lensing degeneracies and mass substructure
• Hubble constant and dark energy inferred from free-form determined time delay distances
• Non-parametric Reconstruction of Cluster Mass Distribution from Strong Lensing: Modelling Abell 370
• A Two-Year Time Delay for the Lensed Quasar SDSS J1029+2623
• Predicted properties of multiple images of the strongly lensed supernova SN Refsdal
• Mass-Galaxy offsets in Abell 3827, 2218 and 1689: intrinsic properties or line-of-sight substructures?
• Models of the giant quadruple quasar SDSS J1004+4112
• Non-parametric strong lens inversion of SDSS J1004+4112
• Chandra Observations of SDSS J1004+4112: Constraints on the Lensing Cluster and Anomalous X-Ray Flux Ratios of the Quadruply Imaged Quasar
• A generalisation of the mass-sheet degeneracy producing ring-like artefacts in the lens mass distribution
• Meso-structure in three strong-lensing systems
• Spectroscopic Confirmation of the Fifth Image of SDSS J1004+4112 and Implications for the M_BH-sigma_* Relation at z=0.68
• Cosmological Parameter Determination in Free-Form Strong Gravitational Lens Modeling
• The cluster lens ACO 1703: redshift contrast and the inner profile
• The Mass Distribution of the Strong Lensing Cluster SDSS J1531+3414
• Time Delays for the Giant Quadruple Lensed Quasar SDSS J1004+4112: Prospects for Determining the Density Profile of the Lensing Cluster
• Intrinsic Degeneracy of Gravitational Lens Time Delays: the case for a simple quadruple system in $\Lambda$CDM cosmology
• Strong and Weak Lensing Constraints on Galaxy Mass Distribution

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• The Longest Delay: a 14.5 Yr Campaign to Determine the Third Time Delay in the Lensing Cluster SDSS~J1004+4112
• Free-form Grale lens inversion of galaxy clusters with up to 1000 multiple images
• Quantifying substructures in {\it Hubble Frontier Field} clusters: comparison with $\Lambda CDM$ simulations
• Constraining the mass density of free-floating black holes using razor-thin lensing arcs
• A Mass Model for the Lensing Cluster SDSS J1004+4112: Constraints From the Third Time Delay
• Constraining the spacetime spin using time delay in stationary axisymmetric spacetimes
• Microlensing masses via photon bunching
• Parameter free Hubble constant from the quadruply lensed quasar SDSS J1004 + 4112
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