Post-Newtonian parameters and constraints on Einstein-aether theory

Abstract

We analyze the observational and theoretical constraints on ``Einstein-aether theory", a generally covariant theory of gravity coupled to a dynamical, unit, timelike vector field that breaks local Lorentz symmetry. The results of a computation of the remaining post-Newtonian parameters are reported. These are combined with other results to determine the joint post-Newtonian, vacuum-Cerenkov, nucleosynthesis, stability, and positive-energy constraints. All of these constraints are satisfied by parameters in a large two-dimensional region in the four-dimensional parameter space defining the theory.

19 pages; v2: corrected typos

References in corpus (13)

• The Confrontation between General Relativity and Experiment
• Modern tests of Lorentz invariance
• The Confrontation between General Relativity and Experiment
• Einstein-Aether Waves
• Lorentz-Violating Vector Fields Slow the Universe Down
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Can We See Lorentz-Violating Vector Fields in the CMB?
• Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
• Radiation Damping in Einstein-Aether Theory
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• Energy in the Einstein-Aether Theory
• Relativistic Gravity With a Dynamical Preferred Frame

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