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arXiv · 1402.3201

Piecewise Silence in Discrete Cosmological Models

Timothy Clifton·Daniele Gregoris·Kjell Rosquist
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Abstract

We consider a family of cosmological models in which all mass is confined to a regular lattice of identical black holes. By exploiting the reflection symmetry about planes that bisect these lattices into identical halves, we are able to consider the evolution of a number of geometrically distinguished surfaces that exist within each of them. We find that the evolution equations for the reflection symmetric surfaces can be written as a simple set of Friedmann-like equations, with source terms that behave like a set of interacting effective fluids. We then show that gravitational waves are effectively trapped within small chambers for all time, and are not free to propagate throughout the space-time. Each chamber therefore evolves as if it were in isolation from the rest of the universe. We call this phenomenon "piecewise silence".

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Timothy Clifton, Daniele Gregoris, Kjell Rosquist. 2014-02-13. Piecewise Silence in Discrete Cosmological Models. https://doi.org/10.1088/0264-9381/31/10/105012

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