On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime

Abstract

We investigate the dynamics of classical solutions to the dust fluid model under spherical symmetry in Schwarzschild spacetime. According to whether the solution will persist globally or develop a finite-time singularity, a precise classification of initial data is provided. Moreover, a detailed analysis on the exact blowup profile near the singularity is given.

arXiv comment30pages, 4figures, all comments are welcome