The semiclassical Wheeler-DeWitt wavefunction matches the perturbation-theory wavefunction of cosmology up to a specific phase and normalization, verified in exponential-potential and slow-roll mini-superspace models.
Rotating cosmologies: classical and quantum
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abstract
We revisit spatially flat, anisotropic cosmologies within the framework of mini-superspace. Putting special emphasis on the symmetries of the mini-superspace action and on the associated conservation laws, we unveil a new class of rotating cosmologies driven by solid matter. Their rotating is physical, in that it is characterized in an invariant way in terms of a conserved angular momentum. Along the way, we confirm the results of Bartolo et al. regarding the slow decay of anisotropies for solid inflation. We then use our minisuperspace approach as a laboratory to address certain puzzles of quantum cosmology-among these, how to characterize the spacetime symmetries of a quantum state at the level of the wavefunction of the universe. For the case of a solid driven cosmology, this question seems better defined than in more standard cases. Other questions remain unanswered, though; in particular, the general question of how to operate a minisuperspace-like truncation of degrees of freedom that is consistent at the quantum level.
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Cosmological perturbations meet Wheeler DeWitt
The semiclassical Wheeler-DeWitt wavefunction matches the perturbation-theory wavefunction of cosmology up to a specific phase and normalization, verified in exponential-potential and slow-roll mini-superspace models.