On the constraint equations in Einstein-aether theories and the weak gravitational field limit

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.

References in corpus (4)

• Quantum Gravity at a Lifshitz Point
• Stability of spherically symmetric solutions in modified theories of gravity
• Numerical simulations of gravitational collapse in Einstein-aether theory
• Initial value constraints with tensor matter

Cited by in corpus (5)

• What Do We Know About Lorentz Invariance?
• Kantowski-Sachs Einstein-æther perfect fluid models
• Degeneracy, matter coupling, and disformal transformations in scalar-tensor theories
• Singular Hamiltonians in models with spontaneous Lorentz symmetry breaking
• Constraints and degrees of freedom in Lorentz-violating field theories