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arXiv · 1108.1496

Initial value constraints with tensor matter

Ted Jacobson
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Abstract

In generally covariant metric gravity theories with tensor matter fields, the initial value constraint equations, unlike in general relativity, are in general not just the 0μ-components of the metric field equation. This happens because higher derivatives can occur in the matter stress tensor. A universal form for these constraints is derived here from a generalized Bianchi identity that includes matter fields. As an application, the constraints for Einstein-aether theory are found.

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Ted Jacobson. 2011-08-06. Initial value constraints with tensor matter. https://doi.org/10.1088/0264-9381%2F28%2F24%2F245011

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