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Cluster Cores, Gravitational Lensing, and Cosmology
Astrophysics · Submitted 11 Dec 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus, it appears that these tests are sensitive both to the cosmological model (number density of lenses) and to the inner lens structure, which is unlikely to depend sensitively on the cosmology, making it difficult to test the cosmological models by large--separation quasar lensing until we reliably know the structure of the lenses themselves.
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The abstract, sentence by sentence
Many multiply--imaged quasars have been found over the years, but none so far with image separation in excess of $8\arcsec$. The absence of such large splittings has been used as a test of cosmological models: the standard Cold Dark Matter model has been excluded on the basis that it predicts far too many large--separation double images. These studies assume that the lensing structure has the mass profile of a singular isothermal sphere. However, such large splittings would be produced by very massive systems such as clusters of galaxies, for which other gravitational lensing data suggest less singular mass profiles. Here we analyze two cases of mass profiles for lenses: an isothermal sphere with a finite core radius (density $\rho \propto (r^2+r_{core}^2)^{-1})$, and a Hernquist profile ($\rho \propto r^{-1}(r+a)^{-3}$). We find that small core radii $r_{core} \sim 30 h^{-1}$ kpc, as suggested by the cluster data, or large $a \gsim 300 h^{-1}$ kpc, as needed for compatibility with gravitational distortion data, would reduce the number of large--angle splittings by an order of magnitude or more. Thus, it appears that these tests are sensitive both to the cosmological model (number density of lenses) and to the inner lens structure, which is unlikely to depend sensitively on the cosmology, making it difficult to test the cosmological models by large--separation quasar lensing until we reliably know the structure of the lenses themselves.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Many multiply--imaged quasars have been found over the years, but none so far with image separation in excess of $8\arcsec$. | background 0.89 | 0.08 | 0.02 | asserted 1.00 |
| s1 | The absence of such large splittings has been used as a test of cosmological models: the standard Cold Dark Matter model has been excluded on the basis that it predicts far too many large--separation double images. | background 0.99 | 0.04 | 0.04 | asserted 1.00 |
| s2 | These studies assume that the lensing structure has the mass profile of a singular isothermal sphere. | background 0.97 | 0.05 | 0.02 | asserted 1.00 |
| s3 | However, such large splittings would be produced by very massive systems such as clusters of galaxies, for which other gravitational lensing data suggest less singular mass profiles. | background 0.76 | 0.08 | 0.05 | hedged possibility 0.77 |
| s4 | Here we analyze two cases of mass profiles for lenses: an isothermal sphere with a finite core radius (density $\rho \propto (r^2+r_{core}^2)^{-1})$, and a Hernquist profile ($\rho \propto r^{-1}(r+a)^{-3}$). | method 0.68 | 0.80 | 0.04 | asserted 0.97 |
| s5 | We find that small core radii $r_{core} \sim 30 h^{-1}$ kpc, as suggested by the cluster data, or large $a \gsim 300 h^{-1}$ kpc, as needed for compatibility with gravitational distortion data, would reduce the number of large--angle splittings by an order of magnitude or more. | result 1.00 | 0.94 | 0.40 | asserted 1.00 |
| s6 | Thus, it appears that these tests are sensitive both to the cosmological model (number density of lenses) and to the inner lens structure, which is unlikely to depend sensitively on the cosmology, making it difficult to test the cosmological models by large--separation quasar lensing until we reliably know the structure of the lenses themselves. | interpretation 1.00 | 0.52 | 0.89 | hedged possibility 0.93 |
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Original abstract
Many multiply--imaged quasars have been found over the years, but none so far with image separation in excess of $8\arcsec$. The absence of such large splittings has been used as a test of cosmological models: the standard Cold Dark Matter model has been excluded on the basis that it predicts far too many large--separation double images. These studies assume that the lensing structure has the mass profile of a singular isothermal sphere. However, such large splittings would be produced by very massive systems such as clusters of galaxies, for which other gravitational lensing data suggest less singular mass profiles. Here we analyze two cases of mass profiles for lenses: an isothermal sphere with a finite core radius (density $\rho \propto (r^2+r_{core}^2)^{-1})$, and a Hernquist profile ($\rho \propto r^{-1}(r+a)^{-3}$). We find that small core radii $r_{core} \sim 30 h^{-1}$ kpc, as suggested by the cluster data, or large $a \gsim 300 h^{-1}$ kpc, as needed for compatibility with gravitational distortion data, would reduce the number of large--angle splittings by an order of magnitude or more. Thus, it appears that these tests are sensitive both to the cosmological model (number density of lenses) and to the inner lens structure, which is unlikely to depend sensitively on the cosmology, making it difficult to test the cosmological models by large--separation quasar lensing until we reliably know the structure of the lenses themselves.
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References
How the literature uses it
5 arXiv papers cite this in 5 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 3 papers
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The CIS is the deformed model of the SIS and it has the core radius $r_c$ [ref] .
Multi-band observation of lensed gravitational waves as a probe of small-mass dark matter halos · Cored Isothermal Sphere (CIS) · 0.92
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We will also consider a CIS, a variant of the SIS in which the presence of a central core smoothes the density profile [ref] : [equation] where $ρ_0$ is the central density and $r_c$ is the core radius.
Weakly Lensed Gravitational Waves: Probing Cosmic Structures with Wave-Optics Features · Cored Isothermal Sphere · 0.84
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It is defined as [ref]
GLoW: novel methods for wave-optics phenomena in gravitational lensing · Cored isothermal sphere (CIS) · 0.83
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