Crystal gravity

We address a subject that could have been analyzed century ago: how does the universe of general relativity look like when it would filled with solid matter? Solids break spontaneously translations and rotations space itself. Only rather recently was realized in various context order parameter has relation to Einsteins dynamical time which is similar role Higgs field Yang-Mills gauge theory. Such "crystal gravity" therefore phase gravity. The usual phases are characterized by special phenomenology. A case point superconductivity exhibiting phenomena Type II phase, emergence an Abrikosov lattice quantized magnetic fluxes absorbing external field. What expect gravitational setting? theory elasticity universal effective associated breaking having status as action describing neutral superfluid. geometrical formulation appeared its long history, structure relativity, greatly facilitates marriage both theories. With main limitation we focus entirely on stationary circumstances -- complicated lack Lorentz invariance will present first exploration remarkably rich often simple physics "Higgsed gravity".