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Phys. Rev. D 72, 025012 (2005) [18 pages]

Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity

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Christian Heinicke1,*, Peter Baekler2,†, and Friedrich W. Hehl1,3,‡
1Institut für Theoretische Physik, Universität zu Köln, 50923 Köln, Germany
2Fachbereich Medien, Fachhochschule Düsseldorf, University of Applied Sciences, Josef-Gockeln-Str. 9, 40474 Düsseldorf, Germany
3Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, Missouri 65211, USA

Received 1 April 2005; published 26 July 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.025012
DOI:
10.1103/PhysRevD.72.025012
PACS:
04.50.+h, 03.50.Kk, 04.20.Jb

*Electronic address: chh@thp.uni-koeln.de

†Electronic address: peter.baekler@fh-duesseldorf.de

‡Electronic address: hehl@thp.uni-koeln.de

 
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