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arXiv · 2206.01389

Critical gravitational collapse of a massive complex scalar field

Erik Jimenez-Vazquez·Miguel Alcubierre
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Abstract

We study the critical collapse of a massive complex scalar field coupled minimally to gravity. Taking as initial data a simple gaussian pulse with a shape similar to the harmonic ansatz for boson stars, we obtain critical collapse of type type I and II when varying the gaussian width $σ$. For $σ\leq 0.5$ we find collapse of type II with a critical exponent $γ=0.38\pm0.01$ and an echoing period $Δ=3.4\pm0.1$. These values are very similar to the known results for a real massless scalar field. On the other hand, for $σ\geq 2.5$ we obtain collapse of type I. In this case we find that the critical solutions turn out to be an unstable boson stars in the ground state: all the data obtained from our simulations can be contrasted with the characteristic values for unstable boson stars and their corresponding Lyapunov exponents.

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Erik Jimenez-Vazquez, Miguel Alcubierre. 2022-08-17. Critical gravitational collapse of a massive complex scalar field. https://doi.org/10.1103/physrevd.106.044071

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