Dimensionally continued Oppenheimer–Snyder gravitational collapse: Solutions in odd dimensions

Dimensionally continued Oppenheimer–Snyder gravitational collapse: Solutions in odd dimensions
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维度连续的奥本海默-斯奈德引力塌缩:奇维度的解

DOI:
10.1063/1.532904
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发表时间:
1996
期刊:
影响因子:
--
通讯作者:
J. Lemos
J. Lemos
中科院分区:
--
文献类型:
--
作者:
Anderson Ilha;J. Lemos

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洛夫洛克引力理论将广义相对论扩展到更高的维度,使得场方程仍然是二阶的。这个理论有许多没有先验意义的常系数。然而,我们可以把它们简化为两个:宇宙常数和牛顿常数。在这个过程中,我们把偶数维的理论和奇数维的理论分开。在之前的工作中,我们分析了偶数维的引力坍缩。在这项工作中,注意的是奇维。人们发现,黑洞也以引力坍缩的最终状态出现,是一种规则的尘埃流体。
The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless, it is possible to reduce them to two: the cosmological constant and Newton’s constant. In this process one separates theories in even dimensions from theories in odd dimensions. In a previous work, gravitational collapse in even dimensions was analyzed. In this work attention is given to odd dimensions. It is found that black holes also emerge as the final state of gravitational collapse of a regular dust fluid.