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Generalized Oppenheimer–Snyder gravitational collapse into regular black holes
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2022-03-22 , DOI: 10.1088/1361-6382/ac5924
F Shojai 1, 2 , A Sadeghi 1 , R Hassannejad 1
Affiliation  

We shall study the formation of a particular class of regular black holes (BHs) from the gravitational collapse of a massive star. The inside geometry is described by spatially flat Friedmann–Robertson–Walker (FRW) metric and the stellar matter is distributed uniformly without any pre-assumption about its equation of state. Our model is a generalization of Oppenheimer–Snyder collapse for regular BHs. We have obtained the density and pressure of star by applying the condition of smooth joining of metrics at the freely falling surface of star. Specifying the regular BHs to Hayward and Bardeen cases, we see that the stellar matter is described by a polytropic equation of state and moreover, for the radius smaller than a certain value, the strong energy condition becomes invalid. Then for both BHs, the interior apparent and event horizons and also the stellar surface are obtained as functions of the proper time of star. At the end, we have constructed a new two parametric family of regular BHs jointed smoothly to the flat FRW interior metric of a polytropic star with an arbitrary index.

中文翻译:

广义奥本海默-斯奈德引力坍缩成规则黑洞

我们将研究从大质量恒星的引力坍缩中形成一类特定的规则黑洞 (BH)。内部几何由空间平坦的弗里德曼-罗伯逊-沃克 (FRW) 度量描述,恒星物质均匀分布,无需对其状态方程进行任何预先假设。我们的模型是对常规 BH 的 Oppenheimer-Snyder 坍缩的概括。应用恒星自由落体表面度量平滑连接的条件,我们得到了恒星的密度和压力。将正则黑洞具体化到 Hayward 和 Bardeen 情形,我们看到恒星物质是用多方状态方程描述的,并且对于小于某个值的半径,强能量条件变得无效。那么对于两个 BHs,内部视界和事件视界以及恒星表面是作为恒星本征时间的函数获得的。最后,我们构建了一个新的规则 BH 的两个参数族,它平滑地连接到具有任意索引的多变星的平坦 FRW 内部度量。
更新日期:2022-03-22
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