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Light-cone averages in a Swiss-cheese universe

Light-cone averages in a Swiss-cheese universe

We analyze a toy Swiss-cheese cosmological model to study the averaging problem. In our Swiss-cheese model, the cheese is a spatially flat, matter only, Friedmann-Robertson-Walker solution (i.e., the Einstein-de Sitter model), and the holes are constructed from a Lema\^{\i}tre-Tolman-Bondi solution of Einstein's equations. We study the propagation of photons in …