Delensing Gravitational Wave Standard Sirens with Shear and Flexion Maps
arXiv:0907.3635 · doi:10.1111/j.1365-2966.2010.16317.x
Abstract
Supermassive black hole binary systems (SMBHB) are standard sirens -- the gravitational wave analogue of standard candles -- and if discovered by gravitational wave detectors, they could be used as precise distance indicators. Unfortunately, gravitational lensing will randomly magnify SMBHB signals, seriously degrading any distance measurements. Using a weak lensing map of the SMBHB line of sight, we can estimate its magnification and thereby remove some uncertainty in its distance, a procedure we call "delensing." We find that delensing is significantly improved when galaxy shears are combined with flexion measurements, which reduce small-scale noise in reconstructed magnification maps. Under a Gaussian approximation, we estimate that delensing with a 2D mosaic image from an Extremely Large Telescope (ELT) could reduce distance errors by about 30-40% for a SMBHB at z=2. Including an additional wide shear map from a space survey telescope could reduce distance errors by 50%. Such improvement would make SMBHBs considerably more valuable as cosmological distance probes or as a fully independent check on existing probes.
9 pages, 4 figures, submitted to MNRAS
References in corpus (7)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
- Galaxies in the Hubble Ultra Deep Field: I. Detection, Multiband Photometry, Photometric Redshifts, and Morphology
- The imprint of massive black hole formation models on the LISA data stream
- Host Galaxies Catalog Used in LIGO Searches for Compact Binary Coalescence Events
- The Effect of Higher Harmonic Corrections on the Detection of massive black hole binaries with LISA
- Weak gravitational shear and flexion with polar shapelets
- Tuning Gravitationally Lensed Standard Sirens
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- Premerger localization of intermediate mass binary black holes with LISA and prospects of joint observations with Athena and LSST
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- Measurement of halo properties with weak lensing shear and flexion
- Impact of weak lensing on bright standard siren analyses
- The constraint ability of Hubble parameter by gravitational wave standard sirens on cosmological parameters
- Effect of lensing magnification on type Ia supernova cosmology
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- A deconstruction of methods to derive one-point lensing statistics
- Massive black hole binaries in LISA: constraining cosmological parameters at high redshifts