Tensor–vector–scalar gravity

The tensor - vector - scalar theory of gravity ( TeVeS ) is a theory of gravitation, which presents itself as an alternative to general relativity to describe the processes in cosmology.

Motivation

In cosmology, observations that have led to the postulation of the existence of dark energy and dark matter exist, if they are to be understood by assuming the validity of general relativity. The TeVeS tries to explain the observations without these two phenomena. The theory went out the Modified Newtonian Dynamics ( MOND ) theory forth, which was adapted to the findings of the special theory of relativity of Einstein and first formulated by Jacob Bekenstein 2004.

The main difference from the general theory of relativity lies in the formulation of the dependence of the gravitational force on the distance to the ground, which causes gravity. This is defined in the TeVeS by means of a scalar, a tensor and a vector, while the general theory of relativity is the space geometry by a single tensor.

Basics

The TeVeS theory uses a modified metric of the form

Where the metric of general relativity corresponds to a vector field that satisfies the condition, that is time-like and is a scalar.

The dynamics of the metric is defined as in the general theory of relativity by Einstein - Hilbert action, while in the action for the matter, the modified metric is employed.

For the vector field is an effect of the form

Accepted. It is a coupling constant and a Lagrange multiplier, the condition that the time ensures like.

This effect leads to a set of equations, in addition to the Einstein equation to determine the gravity.

The modified energy-momentum tensor and an auxiliary field that comes in the action of the scalar field on the application.