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Approaching Wonderland

Classical and quantum gravity(2020)

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Abstract
Continuing previous work, we show the existence of stable, anisotropic future attractors in Bianchi invariant sets with a p -form field () and a perfect fluid. In particular, we consider the not previously investigated Bianchi invariant sets (II), (IV), (VII0) and (VIIh) and determine their asymptotic behaviour. We find that the isolated equilibrium set Wonderland is a future attractor on all of its existence () in all these sets except in (II), where the peculiar equilibrium sets Edge and Rope show up, taking over the stability for certain values of . In addition, in (IV) and (VIIh) plane gravitational wave solutions (with a non-zero p -form) serve as attractors whenever .
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Key words
p-form gauge fields,anisotropic space-times,Bianchi models,inflation,dynamical system,orthonormal frame,Wonderland
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