Singularities in spherically symmetric solutions with limited curvature invariants
Singularities in spherically symmetric solutions with limited curvature invariants
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DOI：
10.1088/1475-7516/2018/07/022
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发表时间：
2018-01
影响因子：
6.4
通讯作者：
Daisuke Yoshida;R. Brandenberger
中科院分区：
文献类型：
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作者：
Daisuke Yoshida;R. Brandenberger
我们研究引力理论中具有有限曲率不变量的静态球对称解，旨在消除史瓦西时空中的奇点。我们发现，如果我们只限制 Gauss-Bonnet 项和 Ricci 标量，那么原点处的奇点仍然存在。而且我们发现，在原始史瓦西时空中事件视界对应的位置可以产生曲率奇点，我们称之为雷电奇点。我们还研究了一类新的理论，其中黎曼张量的所有分量都是有界的。我们发现，在这个理论中，雷电奇点是可以避免的。然而，由于附加自由度的动力学而导致的其他种类的奇点无法被消除，时空仍然是奇点。
We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term and the Ricci scalar, then the singularity at the origin persists. Moreover we find that the position corresponding to the event horizon in the original Schwarzschild space-time can develop a curvature singularity, which we call thunderbolt singularity. We also investigate a new class of theories in which all components of the Riemann tensor are bounded. We find that the thunderbolt singularity is avoidable in this theory. However, other kinds of singularities due to the dynamics of additional degrees of freedom cannot be removed, and the space-time remains singular.