Dynamical variables in Gauge-Translational Gravity

Details Dynamical variables in Gauge-Translational Gravity Dynamical variables in Gauge-Translational Gravity

2010-07-02

arxiv.org/abs/1007.0342v1

Int.J.Geom.Meth.Mod.Phys.8:381-393,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1142/S0219887811005191

Assuming that the natural gauge group of gravity is given by the group of isometries of a given space, for a maximally symmetric space we derive a model in which gravity is essentially a gauge theory of translations. Starting from first principles we verify that a nonlinear realization of the symmetry provides the general structure of this gauge theory, leading to a simple choice of dynamical variables of the gravity field corresponding, at first order, to a diagonal matrix, whereas the non-diagonal elements contribute only to higher orders.

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