We observe critical phenomena in spherical collapse of radiation fluid. Asequence of spacetimes $\cal{S}[\eta]$ is numerically computed, containingmodels ($\eta\ll 1$) that adiabatically disperse and models ($\eta\gg 1$) thatform a black hole. Near the critical point ($\eta_c$), evolutions develop aself-similar region within which collapse is balanced by a strong,inward-moving rarefaction wave that holds $m(r)/r$ constant as a function of aself-similar coordinate $\xi$. The self-similar solution is known and we shownear-critical evolutions asymptotically approaching it. A critical exponent$\beta \simeq 0.36$ is found for supercritical ($\eta>\eta_c$) models.
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机译：我们观察到辐射流体球形塌陷中的关键现象。数值计算时空序列$ \ cal {S} [\ eta $}，其中包含绝热分散的模型（$ \ eta \ ll 1 $）和形成黑洞的模型（$ \ eta \ gg 1 $）。在临界点（$ \ eta_c $）附近，演化形成了一个自相似区域，在该区域内崩溃由强大的，向内移动的稀疏波平衡，该波动将$ m（r）/ r $保持为自相似坐标的函数$ \ xi $。自相似解是已知的，并且我们展示了渐近渐近逼近的关键进化。对于超临界（$ \ eta> \ eta_c $）模型，找到了临界指数$ \ beta \ simeq 0.36 $。
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