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3D weak lensing: Modified theories of gravity

Pratten, G; Munshi, D; Valageas, P; Brax, P; (2016) 3D weak lensing: Modified theories of gravity. Physical Review D , 93 (10) , Article 103524. 10.1103/PhysRevD.93.103524. Green open access

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Abstract

Weak lensing (WL) promises to be a particularly sensitive probe of both the growth of large-scale structure as well as the fundamental relation between matter density perturbations and metric perturbations, thus providing a powerful tool with which we may constrain modified theories of gravity (MG) on cosmological scales. Future deep, wide-field WL surveys will provide an unprecedented opportunity to constrain deviations from General Relativity. Employing a 3D analysis based on the spherical Fourier-Bessel expansion, we investigate the extent to which MG theories will be constrained by a typical 3D WL survey configuration including noise from the intrinsic ellipticity distribution σ ε of source galaxies. Here, we focus on two classes of screened theories of gravity: (i) f ( R ) chameleon models and (ii) environmentally dependent dilaton models. We use one-loop perturbation theory combined with halo models in order to accurately model the evolution of the matter power spectrum with redshift in these theories. Using a χ 2 analysis, we show that for an all-sky spectroscopic survey, the parameter f R 0 can be constrained in the range f R 0 < 5 × 10 − 6 ( 9 × 10 − 6 ) for n = 1 ( 2 ) with a 3 σ confidence level. This can be achieved by using relatively low-order angular harmonics ℓ < 100 . Higher-order harmonics ℓ > 100 could provide tighter constraints but are subject to nonlinear effects, such as baryonic feedback, that must be accounted for. We also employ a Principal Component Analysis in order to study the parameter degeneracies in the MG parameters. The confusion from intrinsic ellipticity correlation and modification of the matter power spectrum at a small scale due to feedback mechanisms is briefly discussed.

Type: Article
Title: 3D weak lensing: Modified theories of gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.93.103524
Publisher version: https://doi.org/10.1103/PhysRevD.93.103524
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, MICROWAVE BACKGROUND ANISOTROPIES, MEASURING COSMOLOGICAL PARAMETERS, PRINCIPAL-COMPONENT ANALYSIS, REDSHIFT-SPACE DISTORTIONS, POWER SPECTRUM, COSMIC SHEAR, EINSTEIN TENSOR, DARK ENERGY, TOMOGRAPHY, DEGENERACIES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/10049337
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