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To be theoretically consistent and compatible with experiment, a theory of gravitation must:
- Predict correct cosmological dynamics
- Big bang nucleosynthesis
- Produce the correct evolution of cosmological perturbations
- Cosmic microwave background
- Large scale structure
- Have the correct weak-field limits
- Reproduces Newtonian Mechanics
- Predicts post-Newtonian experiments in weak field
- Produces stable solutions
- Matter-side instabilities (Dolgov-Kawasaki)
- Ground states should be highly symmetric
- Gravity-side instabilities
- Stable de Sitter solutions
- Stability of the first loop in quantum gravity
- Stability in the face of inhomogeneous but isotropic perturbations
- Black hole nucleation
- Not contain any ghost fields
- Admit a well-posed Cauchy problem
- Reasonable theory of gravity waves