Exploring degeneracies in modified gravity with weak lensing

Abstract

By considering linear-order departures from general relativity, we compute a novel expression for the weak lensing convergence power spectrum under alternative theories of gravity. This comprises an integral over a 'kernel' of general relativistic quantities multiplied by a theory-dependent 'source' term. The clear separation between theory-independent and -dependent terms allows for an explicit understanding of each physical effect introduced by altering the theory of gravity. We take advantage of this to explore the degeneracies between gravitational parameters in weak lensing observations.

17 pages, 7 figures. v2: Minor changes to match version accepted by PRD

References in corpus (39)

• Planck 2013 results. XVI. Cosmological parameters
• Efficient Computation of CMB anisotropies in closed FRW models
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Weak Gravitational Lensing
• Exploring gravitational theories beyond Horndeski
• Weak Lensing of the CMB: A Harmonic Approach
• Bayesian Galaxy Shape Measurement for Weak Lensing Surveys - III. Application to the Canada-France-Hawaii Telescope Lensing Survey
• Power Spectrum Tomography with Weak Lensing
• Measuring the dark side (with weak lensing)
• Essential Building Blocks of Dark Energy
• A discriminating probe of gravity at cosmological scales
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Distinguishing Modified Gravity from Dark Energy
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Probing Cosmic Acceleration Beyond the Equation of State: Distinguishing between Dark Energy and Modified Gravity Models
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Weak Lensing Probes of Modified Gravity
• A practical approach to cosmological perturbations in modified gravity
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity
• Two Windows on Acceleration and Gravitation: Dark Energy or New Gravity?
• Nonlinear structure formation in the Cubic Galileon gravity model
• Effective action approach to cosmological perturbations in dark energy and modified gravity
• Towards a fully consistent parameterization of modified gravity
• Simulating the quartic Galileon gravity model on adaptively refined meshes
• Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
• The effect of modified gravity on weak lensing
• Model-independent constraints on the cosmological anisotropic stress
• Constraining Modified Gravity and Growth with Weak Lensing
• The linear growth rate of structure in Parametrized Post Friedmannian Universes
• New Gravitational Scales in Cosmological Surveys
• Probing deviations from General Relativity with the Euclid spectroscopic survey
• A Fast Route to Modified Gravitational Growth
• Fisher Matrix Preloaded -- Fisher4Cast
• Observable physical modes of modified gravity
• Degeneracies in parametrized modified gravity models

Cited by in corpus (28)

• Testing General Relativity with Present and Future Astrophysical Observations
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Constraining ultra large-scale cosmology with multiple tracers in optical and radio surveys
• Weak lensing by voids in modified lensing potentials
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Extending cosmological tests of General Relativity with the Square Kilometre Array
• Effective Theory of Dark Energy at Redshift Survey Scales
• SKA Weak Lensing I: Cosmological Forecasts and the Power of Radio-Optical Cross-Correlations
• Distinguishing standard and modified gravity cosmologies with machine learning
• KiDS+2dFLenS+GAMA: Testing the cosmological model with the $E_{\mathrm{G}}$ statistic
• Inflation and Early Dark Energy with a Stage II Hydrogen Intensity Mapping Experiment
• Unveiling the Dynamics of the Universe
• Galaxy cluster lensing masses in modified lensing potentials
• Testing Modified Gravity with Cosmic Shear
• Testing gravity with $E_G$: mapping theory onto observations
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• 50 Years of Horndeski Gravity: Past, Present and Future
• Weak lensing probe of cubic Galileon model
• Do Newtonian large-scale structure simulations fail to include relativistic effects?
• On the phenomenology of extended Brans-Dicke Gravity
• Paczynski-Wiita-like potential for any static spherical black hole in metric theories of gravity
• Principal Components for Model-Agnostic Modified Gravity with 3x2pt
• K-mouflage at high $k$: extending the reach of $\text{Hi-COLA}$
• Linear and non-linear Modified Gravity forecasts with future surveys
• Weak gravitational flexion in various spacetimes: Exotic lenses and modified gravity
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Hybrid $P_{\ell }(k)$: general, unified, non-linear matter power spectrum in redshift space