Compare · The Dark Universe
TeVeS (Tensor-Vector-Scalar) vs Moffat MOG (Scalar-Tensor-Vector Gravity)
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TeVeS (Tensor-Vector-Scalar) Frontier | Moffat MOG (Scalar-Tensor-Vector Gravity) Frontier | |
|---|---|---|
| Proposed | 2004 | 2006 |
| Key figures | Jacob Bekenstein | John Moffat |
| In one sentence | Bekenstein's 2004 TeVeS is a relativistic theory that reduces to MOND in weak fields and to general relativity in strong fields, by adding a scalar and a vector field to the metric. It was the first serious relativistic MOND, but GW170817 constraints have substantially limited it. | Moffat's 2006 Modified Gravity (MOG, also called STVG) adds a vector field and scalar-field|scalar fields to general relativity, effectively making Newton's gravitational coupling run with scale. It claims to explain galaxy rotation curves and cluster dynamics without dark matter, but the analyses are largely confined to one research group. |
| Predictions |
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| Where it breaks |
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| Key unresolved problem | The gravitational-wave speed problem: the 2017 GW170817 event showed gravity travels at the speed of light, yet most versions of TeVeS make gravitational waves travel at a different speed, so the theory survives only with heavy fine-tuning. | The independent-reproduction gap: almost all of MOG's successful fits to galaxy clusters, gravitational lensing, and collisions come from Moffat's own group, and outside teams have not confirmed them, so the wider community has not adopted the theory. |
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TeVeS (Tensor-Vector-Scalar)
2004 · Frontier
Moffat MOG (Scalar-Tensor-Vector Gravity)
2006 · Frontier
Proposed
2004
2006
Key figures
Jacob Bekenstein
John Moffat
In one sentence
Bekenstein's 2004 TeVeS is a relativistic theory that reduces to MOND in weak fields and to general relativity in strong fields, by adding a scalar and a vector field to the metric. It was the first serious relativistic MOND, but GW170817 constraints have substantially limited it.
Moffat's 2006 Modified Gravity (MOG, also called STVG) adds a vector field and scalar-field|scalar fields to general relativity, effectively making Newton's gravitational coupling run with scale. It claims to explain galaxy rotation curves and cluster dynamics without dark matter, but the analyses are largely confined to one research group.
Predictions
- How much background light a galaxy or cluster bends (gravitational lensing) should follow the TeVeS values set by the visible matter alone, not the larger ΛCDM values that assume a dark-matter halo; the cleanest test is the ratio of lensing mass to ordinary (baryonic) mass in colliding clusters
- The acoustic peaks in the cosmic microwave background, the regular ripples left by sound waves in the early universe, should come out with different heights and spacings than ΛCDM predicts, testable against Planck satellite data
- Tensor mode propagation speed potentially different from light speed (now tightly constrained by GW170817)
- Galaxy rotation curves reproduced with effective scale-dependent gravity, no dark halos required
- Cluster mass profiles and light-bending (lensing) patterns should be explained by visible matter plus MOG's scale-dependent gravity, with no dark matter, the real test being whether one fixed set of MOG parameters works across many clusters rather than being retuned for each
- Specific deviations from GR at intermediate (galactic, cluster) scales; near-GR behavior in the solar system
Where it breaks
- GW170817 constrains tensor mode propagation speed to match light speed to one part in 10^15; generic TeVeS configurations violate this and require fine-tuning to survive
- Cosmological perturbation analyses find TeVeS struggles to reproduce the CMB acoustic peaks and large-scale structure formation as well as ΛCDM
- The theory's field content (scalar plus vector plus free interpolating functions) is seen as baroque relative to ΛCDM's simplicity
- Active relativistic-MOND research has moved to newer frameworks (Skordis-Złośnik) that handle GW170817 from the start, leaving TeVeS as a reference rather than a live candidate
- Many MOG fits use system-specific parameter values; critics argue this is parameter-fitting rather than unique theoretical prediction
- The [[bulk]] of MOG papers come from one research group; independent reproductions of the claimed cluster and lensing fits are scarce in the broader literature
- Cosmological survey pipelines (DESI, KiDS, DES, Euclid) do not include MOG as a baseline analysis; mainstream cosmology has not adopted the framework
- Like other modified-gravity proposals, MOG faces the Bullet Cluster (Clowe et al 2006) and CMB acoustic-peak challenges shared across the family
Key unresolved problem
The gravitational-wave speed problem: the 2017 GW170817 event showed gravity travels at the speed of light, yet most versions of TeVeS make gravitational waves travel at a different speed, so the theory survives only with heavy fine-tuning.
The independent-reproduction gap: almost all of MOG's successful fits to galaxy clusters, gravitational lensing, and collisions come from Moffat's own group, and outside teams have not confirmed them, so the wider community has not adopted the theory.
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