What the study found
In 2D cold dark matter cosmologies, the study found that many pancakes evolve into filaments, while pancakes that evolve into halos are more strongly curved. The shapes are mostly C-shaped, and shell crossing is highly anisotropic, meaning it differs by direction.
Why the authors say this matters
The authors say this matters because these singularities help characterize the cosmic web, the large-scale structure formed by cold dark matter. The study suggests that extending this work to 3D could allow tests against observations of the cosmic web and searches for signatures of non-Gaussianity, meaning departures from a Gaussian, or bell-curve-like, statistical pattern, at corresponding scales.
What the researchers tested
The researchers used catastrophe theory in 2D to study motion around singularities and to model the shape of emerging structures, especially pancakes that later evolve into halos and filaments. They also computed higher-order corrections to pancake shape, including curvature and the scale of transition from C-shaped to S-shaped forms.
What worked and what didn't
The model produced distributions of observable shape features using Gaussian statistics under the assumption of a Zeldovich flow. Under this framework, the study found that a larger fraction of pancakes becomes filaments, pancakes are more strongly curved when they evolve into halos, and the pancakes are dominantly C-shaped.
What to keep in mind
The abstract describes a 2D model and an assumed Zeldovich flow, so the results are limited to that setup. It also states that extension to 3D is still needed to test the predictions against actual observations.
Key points
- Many 2D pancakes evolve into filaments.
- Pancakes that evolve into halos are more strongly curved.
- Pancakes are dominantly C-shaped.
- Shell crossing is highly anisotropic.
- The authors say a 3D extension is needed to compare predictions with observations.
Disclosure
- Research title:
- Pancakes in 2D cosmic structure are mostly C-shaped
- Authors:
- Abineet Parichha, Stéphane Colombi, Shohei Saga, Atsushi Taruya
- Institutions:
- Institut d'Astrophysique de Paris
- Publication date:
- 2026-04-22
- OpenAlex record:
- View
Get the weekly research newsletter
Stay current with peer-reviewed research without reading academic papers — one filtered digest, every Friday.

