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Dynamical homogenization in effective loop quantum cosmology

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arxiv 2409.18889 v2 pith:BMFLSHB4 submitted 2024-09-27 gr-qc astro-ph.CO

Dynamical homogenization in effective loop quantum cosmology

classification gr-qc astro-ph.CO
keywords bounceeffectivecosmicdynamicshomogeneousloopperturbationsquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The effective dynamics of loop quantum gravity for marginally bound Lema\^itre-Tolman-Bondi spacetimes predict that the big-bang singularity is resolved and replaced by a cosmic bounce. Numerics show that these effective dynamics also homogenize small regions soon after the bounce when inhomogeneities before the bounce are sufficiently large. These homogeneous regions typically have a width of a few Planck lengths where relative perturbations in the energy density remain less than 15%. If the bounce is followed by an inflationary period, the homogeneous region can reach cosmic scales and the amplitude of relative perturbations can be suppressed to a value compatible with observations.

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