Erratum: Energy in the Einstein-Aether theory [Phys. Rev. D73, 084026 (2006)]
Christopher Eling · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 2009
We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy density of the 5 wave modes. The requirement that the modes have positive energy is then used to constrain the theory. In the fully non-linear theory we compute the total energy of an asymptotically flat spacetime. The resulting energy expression is modified by the presence of the aether due to the non-zero value of the unit vector at infinity and its 1/r falloff. The question of non-linear energy positivity is also discussed, but not resolved.