论文标题
探索具有高斯术语的理论中固定黑洞的小质量限制
Exploring the Small Mass Limit of Stationary Black Holes in Theories with Gauss-Bonnet Terms
论文作者
论文摘要
在这项工作中，我们检查了标量场与高斯 - 骨网术语的标量场中的理论中，黑洞的质量较小，没有自旋。首先，我们为理论提供了一个分析示例，其中已知具有较小质量极限的静态闭合溶液，然后使用分析和数值技术来探索具有延展，线性和二次指定式耦合的标准标量-Gauss-bonnet理论中的这一限制。在大多数情况下，在这里研究的情况下，我们发现一个内部奇异性与静态黑洞的事件范围重叠，因为达到了较小的质量极限。此外，由于该极限中的解决方案具有非变化的鹰温度，因此预计将通过蒸发达到裸露的奇异性，从而提出有关这些理论一致性的问题。另一方面，在此上下文中，我们第一次提供了一个耦合的示例，即从未达到小质量限制，因此从宇宙审查的角度来看。最后，我们考虑带有自旋的黑洞，并数值研究如何改变图片，使用它们将迄今为止最紧密的上限放在Dilatonic和线性理论的耦合常数上，并使用$ \ sqrt {\overlineα} <1 $ km。
In this work we examine the small mass limit of black holes, with and without spin, in theories where a scalar field is non-minimally coupled to a Gauss-Bonnet term. First, we provide an analytical example for a theory where a static closed-form solution with a small mass limit is known, and later use analytical and numerical techniques to explore this limit in standard scalar-Gauss-Bonnet theories with dilatonic, linear and quadratic-exponential couplings. In most cases studied here, we find an inner singularity that overlaps with the event horizon of the static black hole as the small mass limit is reached. Moreover, since solutions in this limit possess a non-vanishing Hawking temperature, a naked singularity is expected to be reached through evaporation, raising questions concerning the consistency of these theories altogether. On the other hand, we provide for the first time in this context an example of a coupling where the small mass limit is never reached, thus preferred from the point of view of cosmic censorship. Finally, we consider black holes with spin and numerically investigate how this changes the picture, using these to place the tightest upper bounds to date on the coupling constant for the dilatonic and linear theories, with $\sqrt{\overlineα} < 1$ km.
