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Black Hole Universe: Time Evolution
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Time evolution of a black hole lattice universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of opposite faces. Defining effective scale factors by using the area of a surface and the length of an edge of the cubic box, we compare them with that in the Einstein-deSitter universe. It is found that the behaviour of the effective scale factors is well approximated by that in the Einstein-deSitter universe. Our result suggests that local inhomogeneities do not significantly affect the global expansion law of the universe even if the inhomogeneity is extremely nonlinear.
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Cited by 1 Pith paper
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Long-term 3+1 simulations of primordial black hole formation during radiation domination
A new time-step gauge makes long 3D primordial black hole formation simulations about 94 times cheaper and reproduces the known spherical collapse threshold and critical exponent.
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