InterJournal Complex Systems, 2075
Status: Accepted
Manuscript Number: [2075]
Submission Date: 20080226
Is matter an emergent property of space-time?
Author(s): Claire Chevalier ,Fabrice Debbasch

Subject(s): CX.2

Category: Article


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. Our contribution presents 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. 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.

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