Stability of Toomre-Hayashi Disk

Tomoyuki Hanawa, Kazuya Saigo, Tomoaki Matsumoto

We investigate stability of Toomre-Hayashi model for a self-gravitating, rotating gas disk. The rotation velocity, $v_{\varphi }$, and sound speed, $c_{\mathrm{s}}$, are spatially constant i…