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arXiv · 2109.09768

Dynamical attractors in contracting spacetimes dominated by kinetically coupled scalar fields

Anna Ijjas·Frans Pretorius·Paul J. Steinhardt·David Garfinkle
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Abstract

We present non-perturbative numerical relativity simulations of slowly contracting spacetimes in which the scalar field driving slow contraction is coupled to a second scalar field through an exponential non-linear sigma model-type kinetic interaction. These models are important because they can generate a nearly scale-invariant spectrum of super-Hubble density fluctuations fully consistent with cosmic microwave background observations. We show that the non-linear evolution rapidly approaches a homogeneous, isotropic and flat Friedmann- Robertson-Walker (FRW) geometry for a wide range of inhomogeneous and anisotropic initial conditions. Ultimately, we find, the kinetic coupling causes the evolution to deflect away from flat FRW and towards a novel Kasner-like stationary point, but in general this occurs on time scales that are too long to be observationally relevant.

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Anna Ijjas, Frans Pretorius, Paul J. Steinhardt, David Garfinkle. 2021-09-20. Dynamical attractors in contracting spacetimes dominated by kinetically coupled scalar fields. https://doi.org/10.1088/1475-7516/2021/12/030

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