The cosmological background and the "external field" in Modified Gravity (MOG)

Abstract

We investigate the contributions of the Friedmann-Lemaître-Robertson-Walker metric of the standard cosmology as an asymptotic boundary condition on the first-order approximation of the gravitational field in Moffat's theory of modified gravity (MOG). We also consider contributions due to the fact that the MOG theory does not satisfy the shell theorem or Birkhoff's theorem, resulting in what is known as the "external field effect" (EFE). We show that while both these effects add small contributions to the radial acceleration law, the result is orders of magnitude smaller than the radial acceleration in spiral galaxies.

arXiv comment4 pages, 1 figure

References in corpus (10)

• Scalar-Tensor-Vector Gravity Theory
• Black Holes in Modified Gravity (MOG)
• The MOG weak field approximation and observational test of galaxy rotation curves
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• Fundamental parameter-free solutions in Modified Gravity
• Modified Gravity (MOG) fits to observed radial acceleration of SPARC galaxies
• NGC 1052-DF2 And Modified Gravity (MOG) Without Dark Matter
• Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables
• Gravitational Theory of Cosmology, Galaxies and Galaxy Clusters
• Applying Modified Gravity (MOG) to the Lensing and Einstein Ring in Abell 3827

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• Milky Way and M31 rotation curves: $\Lambda$CDM vs. MOND
• Critique of the use of geodesics in astrophysics and cosmology