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・ Gauge anomaly
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・ Gauge covariant derivative
・ Gauge factor
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・ Gauge gravitation theory
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・ Gauge principle
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Gauge vector–tensor gravity
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Gauge vector–tensor gravity : ウィキペディア英語版
Gauge vector–tensor gravity

Gauge vector–tensor gravity (GVT) is a relativistic generalization of Mordehai Milgrom's Modified Newtonian dynamics (MOND) paradigm where gauge fields cause the MOND behavior. The former covariant realizations of MOND such as the Bekenestein's Tensor–vector–scalar gravity and the Moffat's Scalar–tensor–vector gravity attribute MONDian behavior to some scalar fields. GVT is the first example wherein the MONDian behavior is mapped to the gauge vector fields.
The main features of GVT can be summarized as follows:
* As it is derived from the action principle, GVT respects conservation laws;
* In the weak-field approximation of the spherically symmetric, static solution, GVT reproduces the MOND acceleration formula;
* It can accommodate gravitational lensing.
* It is in total agreement with the Einstein–Hilbert action in the strong and Newtonian gravities.
Its dynamical degrees of freedom are:
* Two gauge fields: B_, \tilde_;
* A metric, g_.
==Details==

The physical geometry, as seen by particles, represents the Finsler geometry–Randers type:

ds = \sqrt + (B_\mu + \tilde_\mu) dx^\mu

This implies that the orbit of a particle with mass m can be derived from the following effective action:

S= m \int d\tau (\frac \dot^\mu \dot^\nu g_+(B_\mu+\tilde_\mu) \dot^\mu )\,.

The geometrical quantities are Riemannian. GVT, thus, is a bi-geometric gravity.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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