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Scale-Dependent Averaging in Relativistic Cosmology

Explore the concept of scale-dependent averaging in relativistic cosmology, analyzing initial data sets on closed constant mean curvature 3-manifolds. Investigate geometrical averaging in Euclidean, hyperbolic, spherical, S2 x R, H2 x R, SL2R, Nil, or Sol geometry.

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Scale-Dependent Averaging in Relativistic Cosmology

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  1. Averaging and back-reaction in relativistic cosmology Mauro CarforaUniversity of Pavia

  2. (i) GR Initial data sets on Closed Constant Mean Curvature 3-Manifolds

  3. Definition of scale-dependent averaging of initial data sets

  4. Looking for geometrical averaging

  5. Euclidean geometry Hyperbolic geometry Spherical geometry The geometry of S2 x R The geometry of H2x R The geometry of SL2R Nil geometry , or Sol geometry .

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