a Perturbation Approach to Translational Gravity
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.
- Publication:
-
International Journal of Geometric Methods in Modern Physics
- Pub Date:
- May 2013
- DOI:
- 10.1142/S021988781350062X
- arXiv:
- arXiv:1301.1820
- Bibcode:
- 2013IJGMM..1050062J
- Keywords:
-
- Nonlinear realizations;
- gauge theory of gravitation;
- gauge translations;
- minimal tetrads;
- 04.20.Cv;
- 04.20.Fy;
- 02.20.Sv;
- Fundamental problems and general formalism;
- Canonical formalism Lagrangians and variational principles;
- Lie algebras of Lie groups;
- General Relativity and Quantum Cosmology
- E-Print:
- 13 pages. Abstract mistaken in previous version. Submitted to IJGMMP. arXiv admin note: substantial text overlap with arXiv:1007.0342