Gravitational Flexion by Elliptical Dark Matter Haloes
arXiv:0903.3938 · doi:10.1111/j.1365-2966.2009.15539.x
Abstract
We present equations for the gravitational lensing flexion expected for an elliptical lens mass distribution. These can be reduced to one-dimensional finite integrals, thus saving significant computing time over a full two-dimensional calculation. We estimate constraints on galaxy halo ellipticities for a range of potential future surveys, finding that the constraints from the two different types of flexion are comparable and are up to two orders of magnitude tighter than those from shear. Flexion therefore appears to be a very promising potential tool for constraining the shapes of galaxy haloes from future surveys.
7 pages, 5 figures, submitted to MNRAS
References in corpus (15)
- Analytic models of plausible gravitational lens potentials
- The Masses and Shapes of Dark Matter Halos from Galaxy-Galaxy Lensing in the CFHTLS
- A New Look at Massive Clusters: weak lensing constraints on the triaxial dark matter halos of Abell 1689, Abell 1835, & Abell 2204
- A Detection of Dark Matter Halo Ellipticity using Galaxy Cluster Lensing in SDSS
- Gravitational Shear, Flexion and Strong Lensing in Abell 1689
- Weak lensing goes bananas: What flexion really measures
- A New Measure for Weak Lensing Flexion
- Weak gravitational shear and flexion with polar shapelets
- A Method for Weak Lensing Flexion Analysis by the HOLICs Moment Approach
- Measuring Flexion
- Cluster Ellipticities as a Cosmological Probe
- Detecting Mass Substructure in Galaxy Clusters: An Aperture Mass Statistic for Gravitational Flexion
- Twist and Turn: Weak Lensing Image Distortions to Second Order
- Lensing signals in the Hubble Ultra-Deep Field using all 2nd order shape deformations
- Multipole Formulae for Gravitational Lensing Shear and Flexion
Cited by in corpus (20)
- The dark matter of gravitational lensing
- Shapes of Gas, Gravitational Potential and Dark Matter in Lambda-CDM Clusters
- Constraints on the shapes of galaxy dark matter haloes from weak gravitational lensing
- Lensing Measurements of the Ellipticity of LRG Dark Matter Halos
- Probing Galaxy Dark Matter Haloes in COSMOS with Weak Lensing Flexion
- The axis ratio distribution of X-ray clusters observed by XMM-Newton
- On the validity of the Born approximation for weak cosmic flexions
- Measuring Dark Matter Substructure with Galaxy-Galaxy Flexion Statistics
- Shear-flexion cross-talk in weak-lensing measurements
- Analytical shear and flexion of Einasto dark matter haloes
- Shape, shear and flexion II - Quantifying the flexion formalism for extended sources with the ray-bundle method
- Modelling the shapes of the largest gravitationally bound objects
- A new tool to determine masses and mass profiles using gravitational flexion
- Estimate of dark halo ellipticity by lensing flexion
- Testing a Phenomenologically Extended DGP Model with Upcoming Weak Lensing Surveys
- Measurement of halo properties with weak lensing shear and flexion
- Estimate of halo ellipticity as a function of radius with flexions
- Improving lensing cluster mass estimate with flexion
- Intrinsic and extrinsic gravitational flexions
- A short review on joint weak and strong cluster lens-mass reconstruction