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arXiv · 2507.19166

Non-linear Dynamics and Primordial Black Hole Formation During Kination

Cheng Cheng·Panagiotis Giannadakis·Lucien Heurtier·Eugene A. Lim
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Abstract

We investigate the effects of large scalar inhomogeneities during the kination epoch, a period in which the universe's dynamics are dominated by the kinetic energy of a scalar field, by fully evolving the Einstein equations using numerical relativity. By tracking the non-linear growth of scalar perturbations with both sub-horizon and super-horizon initial wavelengths, we are able to compare their evolution to perturbative results. Our key findings show that in the deep sub-horizon limit, the perturbative behaviour remains valid, whereas in the super-horizon regime, non-linear dynamics exhibit a much richer phenomenology. Finally, we discuss the possibility of primordial black hole formation from the collapse of such perturbations and assess whether this process could serve as a viable mechanism to reheat the universe in the post-inflationary era.

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Cheng Cheng, Panagiotis Giannadakis, Lucien Heurtier, Eugene A. Lim. 2025-07-25. Non-linear Dynamics and Primordial Black Hole Formation During Kination. https://doi.org/10.1088/1475-7516%2F2026%2F07%2F048

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