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General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
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".