Limited Modified Gravity

Abstract

We systematically assess several limiting cases of modified gravity, where particular theoretical or observational conditions hold. This framework includes the well known scalar-tensor gravity and No Slip Gravity and No Run Gravity, and we extend it to three new limits: Only Run, Only Light, and Only Growth Gravities. These limits give simplifications that allow deeper understanding of modified gravity, including demonstration that gravitational effects on light and matter can have opposite signs in their deviation from general relativity. We also show observational predictions for the different cosmic structure growth rates $f{\sigma }_8$ and the ratio of gravitational wave standard siren luminosity to photon standard candle luminosity distance relations, defining a new statistic $D_G$ that emphasizes their complementarity and ability to distinguish models.

8 pages, 7 figures

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Cited by in corpus (12)

• Modified Gravity Constraints from the Full Shape Modeling of Clustering Measurements from DESI 2024
• Cosmological Constraints on sub-horizon scales modified gravity theories with MGCLASS II
• Probing gravity and growth of structure with gravitational waves and galaxies' peculiar velocity
• DES Y1 results: Splitting growth and geometry to test $\Lambda$CDM
• The homogeneity scale and the growth rate of cosmic structures
• Observational constraints on Starobinsky $f(R)$ cosmology from cosmic expansion and structure growth data
• Scalar-tensor cosmologies without screening
• The Well-Tempered Cosmological Constant: The Horndeski Variations
• No slip gravity in light of LISA standard sirens
• Singling out modified gravity parameters and datasets reveals a dichotomy between Planck and lensing
• Stealth black hole perturbations in kinetic gravity braiding
• Gravitational wave signatures from dark sector interactions