柔性数值特征粘合到极端Reissner-Nordström黑洞
Flexible numerical characteristic gluing to extremal Reissner-Nordström black holes
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中文总结 AI 辅助
本文用数值方法研究极端Reissner-Nordström黑洞的特征粘合构造，显著提高无质量标量场情形下粘合可行的黑洞尺寸下界，并证明有质量标量场质荷比界限1的尖锐性。
中文摘要 AI 辅助
近期工作利用特征粘合方法构造了违反黑洞力学第三定律的时空。本文采用数值方法研究带电标量场引力坍缩形成极端Reissner-Nordström黑洞的粘合构造解的两个方面。首先，对于无质量标量场，我们显著提高了可实现粘合的最终黑洞尺寸的下界。其次，对于有质量标量场，已知若标量场的质荷比超过1，则形成极端Reissner-Nordström黑洞是不可能的。我们通过构造标量场质荷比略低于1的粘合解，提供了该界限是精确的强有力证据。
英文摘要
Recent work has used the method of characteristic gluing to construct spacetimes violating the third law of black hole mechanics. This paper uses numerical methods to investigate two aspects of the gluing construction of solutions describing the gravitational collapse of a charged scalar field to form an extremal Reissner-Nordström black hole. First, for a massless scalar field, we improve significantly the lower bounds on the size of the final black hole for which gluing is possible. Second, for a massive scalar field, it is known that the formation of an extremal Reissner--Nordström black hole is impossible if the mass-to-charge ratio of the scalar field exceeds unity. We present strong evidence that this bound is sharp by constructing gluing solutions with a scalar field mass-to-charge ratio just below unity.
发表机构
- University of Cambridge（剑桥大学）
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