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No-boundary<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>θ</mml:mi></mml:math>sectors in spatially flat quantum cosmology

No-boundary<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>θ</mml:mi></mml:math>sectors in spatially flat quantum cosmology

Gravitational $\ensuremath{\theta}$ sectors are investigated in spatially locally homogeneous cosmological models with flat closed spatial surfaces in 2+1 and 3+1 spacetime dimensions. The metric ansatz is kept in its most general form compatible with Hamiltonian minisuperspace dynamics. Nontrivial $\ensuremath{\theta}$ sectors admitting a semiclassical no-boundary wave function are shown to exist …