One Gravitational Potential or Two? Forecasts and Tests

Abstract

The metric of a perturbed Robertson-Walker spacetime is characterized by three functions: a scale-factor giving the expansion history and two potentials which generalize the single potential of Newtonian gravity. The Newtonian potential induces peculiar velocities and, from these, the growth of matter fluctuations. Massless particles respond equally to the Newtonian potential and to a curvature potential. The difference of the two potentials, called the gravitational slip, is predicted to be very small in general relativity but can be substantial in modified gravity theories. The two potentials can be measured, and gravity tested on cosmological scales, by combining weak gravitational lensing or the Integrated Sachs-Wolfe effect with galaxy peculiar velocities or clustering.

15 pages, invited research article for Theo Murphy Meeting "Testing general relativity with cosmology"

References in corpus (22)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• A Parameterized Post-Friedmann Framework for Modified Gravity
• A discriminating probe of gravity at cosmological scales
• Approaches to Understanding Cosmic Acceleration
• Large Scale Structure as a Probe of Gravitational Slip
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Distinguishing Modified Gravity from Dark Energy
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• Effects of cold dark matter decoupling and pair annihilation on cosmological perturbations
• Current constraints on the cosmic growth history
• On the Growth of Perturbations as a Test of Dark Energy
• Probing modifications of General Relativity using current cosmological observations
• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Future CMB Constraints on Early, Cold, or Stressed Dark Energy
• Confronting General Relativity with Further Cosmological Data
• Impact of Scale Dependent Bias and Nonlinear Structure Growth on the ISW Effect: Angular Power Spectra
• A Multi-Parameter Investigation of Gravitational Slip
• Constraining Modified Gravity with Euclid

Cited by in corpus (24)

• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• A non-linear solution to the $S_8$ tension?
• A precise extragalactic test of General Relativity
• Growth of Cosmic Structure: Probing Dark Energy Beyond Expansion
• The Paths of Gravity in Galileon Cosmology
• Tension of the $E_G$ statistic and RSD data with Planck/$\Lambda$CDM and implications for weakening gravity
• Structure formation in a nonlocally modified gravity model
• Inhomogeneous Cosmology with Numerical Relativity
• NIHAO XIX: How supernova feedback shapes the galaxy baryon cycle
• Is the Effective Field Theory of Dark Energy Effective?
• Nonlocal Gravity and Structure in the Universe
• Designing Horndeski and the effective fluid approach
• Challenges in Connecting Modified Gravity Theory and Observations
• Cosmological constraints on non-adiabatic dark energy perturbations
• Observable physical modes of modified gravity
• Field-Based Physical Inference From Peculiar Velocity Tracers
• Are Scalar and Tensor Deviations Related in Modified Gravity?
• Scalar-tensor cosmologies without screening
• Testing gravity with the Milky Way: Yukawa potential
• Probing Gravitational Slip with Strongly Lensed Fast Radio Bursts
• A direct probe of cosmological power spectra of the peculiar velocity field and the gravitational lensing magnification from photometric redshift surveys
• Revisiting metric perturbations in tensor-vector-scalar theory
• Analytical constraints on bimetric gravity
• The Direction of Gravity