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arXiv · 2011.01013

Larson-Penston Self-similar Gravitational Collapse

Yan Guo·Mahir Hadzic·Juhi Jang
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Abstract

Using numerical integration, in 1969 Penston [22] and Larson [17] independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $p=k\varrho$, $k>0$, and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.

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Yan Guo, Mahir Hadzic, Juhi Jang. 2020-11-02. Larson-Penston Self-similar Gravitational Collapse. https://doi.org/10.1007/s00220-021-04175-y

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