paper

A perturbation approach to Translational Gravity

arXiv:1301.1820 · doi:10.1142/S021988781350062X

Abstract

Within a gauge formulation of 3+1 gravity relying on a nonlinear realization of the group of isometries of space-time, a natural expansion of the metric tensor arises and a simple choice of the gravity dynamical variables is possible. We show that the expansion parameter can be identified with the gravitational constant and that the first order depends only on a diagonal matrix in the ensuing perturbation approach. The explicit first order solution is calculated in the static isotropic case, and its general structure is worked out in the harmonic gauge.

13 pages. Abstract mistaken in previous version. Submitted to IJGMMP. arXiv admin note: substantial text overlap with arXiv:1007.0342

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