Scalar–tensor–vector gravity theory
Open accessAbstract
A covariant scalar–tensor–vector gravity theory is developed which allows the gravitational constant G , a vector field coupling ω and the vector field mass μ to vary with space and time. The equations of motion for a test particle lead to a modified gravitational acceleration law that can fit galaxy rotation curves and cluster data without non-baryonic dark matter. The theory is consistent with solar system observational tests. The linear evolutions of the metric, vector field and scalar field perturbations and their consequences for the observations of the cosmic microwave background are investigated.
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MOG is consistent with solar system tests of gravity and is ghost free.
“The theory is consistent with solar system tests of gravity and is ghost free.”
From Testing general relativity in cosmology (2019) · cites this paper as Moffat (2006)
MOG allows the gravitational constant G, a vector field coupling, and the vector field mass to vary in space and time.
“Moffat (2006) proposed a scalar–tensor–vector gravity (STVG) theory, also referred to as MOG that allows the gravitational constant G, a vector field with coupling , and the vector field mass to vary in space and time.”
From Testing general relativity in cosmology (2019) · cites this paper as Moffat (2006)
MOG has modified equations of motion for test particles with a modified gravitational acceleration law that can fit rotation curves of galaxies and data from clusters of galaxies without dark matter.
“This theory has modified equations of motion for test particles that have a modified gravitational acceleration law that can fit rotation curves of galaxies and also data from clusters of galaxies without the need for dark matter.”
From Testing general relativity in cosmology (2019) · cites this paper as Moffat (2006)
The MOG theory introduces an enhanced gravitational coupling G = GN(1 + α_MOG), partially screened at short range by a repulsive Yukawa contribution.
“The MOG theory (Moffat, 2006) introduces an enhanced gravitational coupling G = GN (1 + α MOG), partially screened at short range by a repulsive Yukawa contribution.”
From The rotation curve of the Milky Way: State of the art, the Keplerian decline debate, and implications for dark matter (2026) · cites this paper as Moffat, 2006
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Cites
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Flagged first, then by citations
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Cited by
Sorted by citations
Testing general relativity in cosmology
Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449 · see citing works
The tensor-vector-scalar theory and its cosmology
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Implications of the Milky Way declining rotation curve
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- Authors
- Moffat, J. W.
- Affiliations
- Perimeter Institute (CA)
- Corresponding author
- Moffat, J W
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2006-03-01
- Volume
- 2006
- Issue
- 03
- Pages
- 004-004
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2075468606
- Cited by
- 610
- References
- 19
- Citations by year
- 2026: 46 · 2025: 59 · 2024: 51 · 2023: 54 · 2022: 32 · 2021: 42 · 2020: 54 · 2019: 39 · 2018: 52 · 2017: 32 · 2016: 21 · 2015: 15 · 2014: 19 · 2013: 23 · 2012: 14
- FWCI
- 7.37
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- scalar-tensor-vector gravity, varying gravitational constant, vector field coupling, modified gravity, galaxy rotation curves, dark matter alternatives, solar system tests, metric perturbations, scalar perturbations, cosmic microwave background, covariant gravity
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