Continued Gravitational Collapse for Newtonian Stars

Yan Guo; Mahir Hadzic; Juhi Jang

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arXiv · 1811.01616

Continued Gravitational Collapse for Newtonian Stars

Yan Guo·Mahir Hadzic·Juhi Jang

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Abstract

The classical model of an isolated selfrgavitating gaseous star is given by the Euler-Poisson system with a polytropic pressure law $P(\rho)=\rho^\gamma$, $\gamma>1$. For any $1<\gamma<\frac43$, we construct an infinite-dimensional family of collapsing solutions to the Euler-Poisson system whose density is in general space inhomogeneous and undergoes gravitational blowup along a prescribed space-time surface, with continuous mass absorption at the origin. The leading order singular behavior is described by an explicit collapsing solution of the pressureless Euler-Poisson system.

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Yan Guo, Mahir Hadzic, Juhi Jang. 2018-11-05. Continued Gravitational Collapse for Newtonian Stars. https://arxiv.org/abs/1811.01616

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