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Energy in the Einstein-Aether Theory

Christopher Eling
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Abstract

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.

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Christopher Eling. 2009-12-06. Energy in the Einstein-Aether Theory. https://doi.org/10.1103/physrevd.73.084026%2010.1103%2Fphysrevd.80.129905

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