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Scalar–tensor–vector gravity (STVG) [1] is a modified theory of gravity developed by John Moffat, a researcher at the Perimeter Institute for Theoretical Physics in Waterloo, Ontario. The theory is also often referred to by the acronym MOG ( MO dified G ravity ).
An action of such a gravitational scalar–tensor theory can be written as follows: = [() () + (,)], where is the metric determinant, is the Ricci scalar constructed from the metric , is a coupling constant with the dimensions , () is the scalar-field potential, is the material Lagrangian and represents the non-gravitational fields.
Tensor–vector–scalar gravity (TeVeS), [1] developed by Jacob Bekenstein in 2004, is a relativistic generalization of Mordehai Milgrom's Modified Newtonian dynamics (MOND) paradigm. [2] [3] The main features of TeVeS can be summarized as follows: As it is derived from the action principle, TeVeS respects conservation laws;
Indeed, the theory he finally arrived at in 1915, general relativity, is a tensor theory, not a scalar theory, with a 2-tensor, the metric, as the potential. Unlike his 1913 scalar theory, it is generally covariant, and it does take into account the field energy–momentum–stress of the electromagnetic field (or any other nongravitational field).
Magnetic flux generated per unit current through a circuit henry (H) L 2 M T −2 I −2: scalar Irradiance: E: Electromagnetic radiation power per unit surface area W/m 2: M T −3: intensive Intensity: I: Power per unit cross sectional area W/m 2: M T −3: intensive Linear density: ρ l: Mass per unit length kg⋅m −1: L −1 M: Luminous ...
The final main class of metric theories is the vector–tensor theories. For all of these the gravitational "constant" varies with time and α 2 {\displaystyle \alpha _{2}} is non-zero. Lunar laser ranging experiments tightly constrain the variation of the gravitational "constant" with time and α 2 < 4 × 10 − 7 {\displaystyle \alpha _{2}<4 ...
Horndeski's theory is the most general theory of gravity in four dimensions whose Lagrangian is constructed out of the metric tensor and a scalar field and leads to second order equations of motion. [ clarification needed ] The theory was first proposed by Gregory Horndeski in 1974 [ 1 ] and has found numerous applications, particularly in the ...
The Einstein field equation (EFE) describing the geometry of spacetime is given as = where is the Ricci tensor, is the Ricci scalar, is the energy–momentum tensor, = / is the Einstein gravitational constant, and is the spacetime metric tensor that represents the solutions of the equation.