On the constraint equations in Einstein-aether theories and the weak gravitational field limit
David Garfinkle, James Isenberg, and Jose M. Martin-Garcia
TL;DR
This paper analyzes the constraints in Einstein-aether theories, highlighting potential issues in the weak gravitational field limit and comparing static and dynamic gravitational scenarios.
Contribution
It provides a detailed comparison of constraints in Einstein-aether theories between flat and dynamic gravitational backgrounds, identifying possible pathologies.
Findings
Potential pathologies in weak gravitational field limit for some Einstein-aether theories
Differences in constraints between flat background and dynamic gravitational fields
Insights into stability and consistency of Einstein-aether models
Abstract
We discuss the set of constraints for Einstein-aether theories, comparing the flat background case with what is expected when the gravitational fields are dynamic. We note potential pathologies occurring in the weak gravitational field limit for some of the Einstein-aether theories.
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