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Self-similar solutions for fuzzy dark matter

Raquel Galazo-Garcia, Philippe Brax, Patrick Valageas

SciPost Phys. Proc. 12, 060 (2023) · published 5 July 2023

Proceedings event

14th International Conference on Identification of Dark Matter


Self-similar solutions for fuzzy dark matter are very different from their counterparts in the standard cold dark matter model. In contrast to the familiar hierarchical collapse of the current model for structure formation, they correspond to an inverse hierarchical blow-up. This fact highlights the gravitational cooling process, which in the absence of dissipation, allows the system to eject excess energy through the intermittent expulsion of clumps of matter. These surprising behaviours are due to the wave properties of the Schrödinger equation and to the quantum pressure. These features are printed in the Eulerian density-velocity representation of the nonrelativistic scalar field, or in the Lagrangian representation in the mass-shell trajectories.

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