The effect of the gravitational constant variation on the propagation of gravitational waves

Abstract

Since the first detection of gravitational waves, they have been used to investigate various fundamental problems, including the variation of physical constants. Regarding the gravitational constant, previous works focused on the effect of the gravitational constant variation on the gravitational wave generation. In this paper, we investigate the effect of the gravitational constant variation on the gravitational wave propagation. The Maxwell-like equation that describes the propagation of gravitational waves is extended in this paper to account for situations where the gravitational constant varies. Based on this equation, we find that the amplitude of gravitational waves will be corrected. Consequently the estimated distance to the gravitational wave source without considering such a correction may be biased. Applying our correction result to the well known binary neutron star coalescence event GW170817, we get a constraint on the variation of the gravitational constant. Relating our result to the Yukawa deviation of gravity, we for the first time get the constraint of the Yukawa parameters in 10Mpc scale. This scale corresponds to a graviton mass $m_g\sim 10^{-31}$eV.

References in corpus (6)

• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• A rapid transition of $G_{\mathrm{eff}}$ at $z_t\simeq 0.01$ as a solution of the Hubble and growth tensions
• Recent measurements of the gravitational constant as a function of time
• Search for non-Newtonian interactions at micrometer scale with a levitated test mass
• Constraint on the mass of graviton with gravitational waves
• Submillimeter constraints for non-Newtonian gravity from spectroscopy

Cited by in corpus (4)

• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Probe the gravitational constant variation via the propagation of gravitational waves
• Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology
• Gravitational-wave constraints on noncommutative spacetime from GW190814