Time evolution of the local gravitational parameters and gravitational wave polarizations in a relativistic MOND theory

Abstract

The recently proposed Skordis-Złośnik theory is the first relativistic MOND theory that can recover the success of the standard $\Lambda$CDM model at matching observations of the cosmic microwave background. This paper aims to revisit the Newtonian and MOND approximations and the gravitational wave analysis of the theory. For the local gravitational parameters, we show that one could obtain both time-varying effective Newtonian gravitational \textit{constant} $G_{\text{N}}$ and time-varying characteristic MOND acceleration scale $a_{\text{MOND}}$, by relaxing the static assumption extensively adopted in the literature. Specially, we successfully demonstrate how to reproduce the redshift dependence of $a_{\text{MOND}}$ observed in the \textit{Magneticum} cold dark matter simulations. For the gravitational waves, we show that there are only two tensor polarizations, and reconfirm that its speed is equal to the speed of light.

9 pages, 3 figures, published in Phys. Rev. D. This version corrects the footnote citation numbers [48,49,63] in the main text. The PRD published version also misquotes the relevant citation numbers

References in corpus (23)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Dark Energy and the Accelerating Universe
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Can Cosmic Structure form without Dark Matter?
• Insight into the baryon-gravity relation in galaxies
• Model of Dark Matter and Dark Energy Based on Gravitational Polarization
• Vector field models of modified gravity and the dark sector
• Λ CDM is Consistent with SPARC Radial Acceleration Relation
• Coincidences of Dark Energy with Dark Matter -- Clues for a Simple Alternative?
• Nonlinear structure formation in Nonlocal Gravity
• Testing nonlocal gravity with Lunar Laser Ranging
• Field equations and cosmology for a class of nonlocal metric models of MOND
• Pure polarization test of GW170814 and GW170817 using waveforms consistent with modified theories of gravity
• Do Newton's G and Milgrom's a_0 vary with cosmological epoch ?
• NIHAO XVIII: Origin of the MOND phenomenology of galactic rotation curves in a LCDM universe
• Cosmological variation of the MOND constant: secular effects on galactic systems
• Models of modified-inertia formulation of MOND
• Constraining the scalar-tensor gravity theories with and without screening mechanisms by combined observations
• Newtonian approximation and possible time-varying $G$ in nonlocal gravities
• Can $\Lambda$CDM model reproduce MOND-like behavior?