The first, fully non linear, mean field theory of relativistic gravitation has been developed in 2004. The theory makes the striking prediction that averaging or coarse graining a gravitational field changes the matter content of space-time. A review of the general theory is presented, together with new calculations that highlight this effect on black holes of the Reisner-Nordström (RN) family. Explicit expressions for the equation of state and for the energy and charge densities of the apparent matter surrounding the coarse grained black holes are given. In particular, the Schwarzschild black hole, which is a vacuum solution of Einstein field equations, is shown to appear after coarse graining as surrounded by an apparent matter whose equation of state strongly resembles the equation of state commonly postulated for cosmological dark energy. Thermodynamical aspects are also investigated. Taken together, these new results suggest that matter and charge may be properties of the space-time which only emerge after a certain coarse graining has been performed.
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.