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On the catastrophe time of fluids under the action of a gravitational field

Year: 2026

Type: article

Abstract: Motivated by the central role of the Zel’dovich approximation in the description of cosmic structure formation through gravitational collapse, we investigate Burgers-type dynamics in a spherically symmetric gravitational field. In the Newtonian setting, we derive perturbatively the catastrophe time for radial motion by imposing the loss of invertibility of the Lagrangian map. We show that the perturbative expansion is controlled by the dimensionless parameter [Formula: see text] rather than by the local gravitational acceleration alone. Hence, the expansion remains valid even when gravity is strong. We then extend the analysis to radial geodesic motion in Schwarzschild spacetime.

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s0219887826503445

Authors: Davide Astesiano, Giovanni Ortenzi, Matteo Luca Ruggiero

Institutions: University of Iceland, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, University of Turin

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7172030463

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