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

Journal Article · Fri Jul 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.025012· OSTI ID:20711166

Heinicke, Christian ^[1]; Baekler, Peter ^[2]; Hehl, Friedrich W ^[3]

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1. Institut fuer Theoretische Physik, Universitaet zu Koeln, 50923 Koeln (Germany)
2. Fachbereich Medien, Fachhochschule Duesseldorf, University of Applied Sciences, Josef-Gockeln-Str. 9, 40474 Duesseldorf (Germany)
3. Institut fuer Theoretische Physik, Universitaet zu Koeln, 50923 Cologne (Germany)

We show that the Einstein-aether theory of Jacobson and Mattingly (J and 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 and 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.

• OSTI ID: 20711166
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
LAGRANGIAN FUNCTION
LORENTZ INVARIANCE
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SPACE-TIME
VECTOR FIELDS