Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
General Relativity and Quantum Cosmology
2010-11-19 v1 High Energy Physics - Theory
Abstract
We show that the Einstein-aether theory of Jacobson and Mattingly (J&M) can be understood in the framework of the metric-affine (gauge theory of) gravity (MAG). We achieve this by relating the aether vector field of J&M to certain post-Riemannian nonmetricity pieces contained in an independent linear connection of spacetime. Then, for the aether, a corresponding geometrical curvature-square Lagrangian with a massive piece can be formulated straightforwardly. We find an exact spherically symmetric solution of our model.
Keywords
Cite
@article{arxiv.gr-qc/0504005,
title = {Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity},
author = {Christian Heinicke and Peter Baekler and Friedrich W. Hehl},
journal= {arXiv preprint arXiv:gr-qc/0504005},
year = {2010}
}
Comments
Revtex4, 38 pages, 1 figure