Göttingen 2025 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 15: Cosmo III

GR 15.1: Vortrag

Freitag, 4. April 2025, 11:00–11:20, ZHG008

Self-similarity of small-scale cosmic structures — •Matthias Bartelmann — Institut für Theoretische Physik, Universität Heidelberg

Based on the saddle-point method within kinetic field theory, and independently on the asymptotic analysis of solutions of the Liouville equation, it has been possible to show that the power spectrum of cosmic density fluctuations necessarily develops an asymptotic behaviour with the wave number k proportional to k⁻³. I will outline the arguments leading to this result, and discuss implications for virialization and for the self-similarity of cosmic structures.

Keywords: structure formation; asymptotic behaviour of power spectrum; virialization