Constraint on reconstructed f(R) gravity models from gravitational waves

Abstract

The gravitational wave (GW) detection of a binary neutron star inspiral made by the Advanced LIGO and Advanced Virgo paves the unprecedented way for multi-messenger observations. The propagation speed of this GW can be scrutinized by comparing the arrival times between GW and neutrinos or photons. It provides the constraint on the mass of the graviton. f(R) gravity theories have the habitual non-zero mass gravitons in addition to usual massless ones. Previously, we show that the model independent f(R) gravity theories can be constructed from the both background evolution and the matter growth with one undetermined parameter. We show that this parameter can be constrained from the graviton mass bound obtained from GW detection. Thus, the GW detection provides the invaluable constraint on the validity of f(R) gravity theories.

6 pages, 2 figures, To match the version accepted by EPJC

References in corpus (8)

• Measuring Speed of Gravitational Waves by Observations of Photons and Neutrinos from Compact Binary Mergers and Supernovae
• Constraining the mass of the graviton using coalescing black-hole binaries
• Massive gravitational waves from the R^2 theory of gravity: production and response of interferometers
• The production of matter from curvature in a particular linearized high order theory of gravity and the longitudinal response function of interferometers
• Angular and frequency response of the gravitational wave interferometers in the metric theories of gravity
• Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
• The future of gravitational theories in the era of the gravitational wave astronomy
• Stochastic Background of Relic Scalar Gravitational Waves tuned by Extended Gravity

Cited by in corpus (8)

• Constraints on $f(R)$ theories of gravity from GW170817
• Gravitational waves and extra dimensions: a short review
• Limit on graviton mass using stacked galaxy cluster catalogs from SPT-SZ, Planck-SZ and SDSS-redMaPPer
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Cosmological constraints on $\gamma$-gravity models
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• A New Set of Maxwell-Lorentz Equations and Rediscovery of Heaviside-Maxwellian (Vector) Gravity from Quantum Field Theory