In the standard effective field theory of gravity, gravitational waves on cosmological backgrounds propagate at a speed differing from unity, and analyticity arguments favor superluminal speed relative to matter.
The basis of nonlocal curvature invariants in quantum gravity theory
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abstract
A complete basis of nonlocal invariants in quantum gravity theory is built to third order in spacetime curvature and matter-field strengths. The nonlocal identities are obtained which reduce this basis for manifolds with dimensionality $2\omega<6$. The present results are used in heat-kernel theory, theory of gauge fields and serve as a basis for the model-independent approach to quantum gravity and, in particular, for the study of nonlocal vacuum effects in the gravitational collapse problem.
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The Speed of Gravity
In the standard effective field theory of gravity, gravitational waves on cosmological backgrounds propagate at a speed differing from unity, and analyticity arguments favor superluminal speed relative to matter.