Abstract

The Universe may pass through an effectively matter-dominated epoch between inflation and Big Bang Nucleosynthesis during which gravitationally bound structures can form on subhorizon scales. In particular, the inflaton field can collapse into inflaton halos, forming "large scale" structure in the very early universe. We combine N-body simulations with high-resolution zoom-in regions in which the non-relativistic Schr\"odinger-Poisson equations are used to resolve the detailed, wave-like structure of inflaton halos. Solitonic cores form inside them, matching structure formation simulations with axion-like particles in the late-time universe. We denote these objects \textit{inflaton stars}, by analogy with boson stars. Based on a semi-analytic formalism we compute their overall mass distribution which shows that some regions will reach overdensities of $10^{15}$ if the early matter-dominated epoch lasts for 20 $e$-folds. The radii of the most massive inflaton stars can shrink below the Schwarzschild radius, suggesting that they could form primordial black holes prior to thermalization.

Highlights

  • Cosmological inflation [1,2,3,4] is a period of accelerated expansion in the early Universe

  • The mass distribution of inflaton stars can be predicted using the mass distribution of inflaton halos and their radii at different times found in the N-body simulations in Ref. [18]

  • Taking a sample of five halos with masses ranging from 8.5 g to 225 g at N = 17.3 e-folds after the end of inflation, we confirm the existence of solitonic cores in the very early universe

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Summary

INTRODUCTION

Cosmological inflation [1,2,3,4] is a period of accelerated expansion in the early Universe. It is possible that this era supports a lengthy period during which the local gravitational dynamics are nonlinear, leading to large overdensities [17, 18] These structures are necessarily evanescent, since thermalization must convert all remnant inflaton material into Standard Model particles and dark matter. Using an N-body particle representation of the scalar field on coarse grid levels and only solving the Schrodinger-Poisson equations in isolated, highly refined regions surrounding pre-selected halos made it possible to observe the formation and growth of solitonic cores from cosmological initial conditions. We use the same hybrid methods to extend our previous N-body simulations of the early matter-dominated post-inflationary era [18] to much smaller length scales This confirms the formation of inflaton stars at the center of inflaton halos during EMD.

SIMULATION SETUP AND NUMERICAL METHODS
Classical wave approximation
Simulation Setup
SIMULATION RESULTS
INFLATON STAR MASS FUNCTION
CONCLUSIONS
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