论文标题
常规黑洞内部时空由三型场支撑
Regular Black Hole Interior Spacetime Supported by Three-Form Field
论文作者
论文摘要
在本文中，我们表明，具有适当电势的最小耦合3形式可以支持常规的黑洞内部。通过为代表2-Sphere半径的度量函数选择适当的形式，我们可以解决3型场及其电势。使用所获得的溶液，我们构建了一个内部黑洞时空，到处都是常规的。奇异性被Nariai-Type时空替换，其拓扑为$ \ text {ds} _2 \ times \ times \ text {s}^2 $，其中2-Sphere的半径是常数。只要内部继续无限期扩展，几何形状基本上就会被压缩。尽管3形球场的负电势，但二维DE Sitter几何形状仍会出现。这样的动态压实可以使我们宇宙的de de Sitter几何形状的起源有所启发，这会因Swampland的猜想而加剧。此外，我们表明时空已完成。由于违反无效能量条件，几何形状是无奇异性的。
In this paper, we show that a minimally coupled 3-form endowed with a proper potential can support a regular black hole interior. By choosing an appropriate form for the metric function representing the radius of the 2-sphere, we solve for the 3-form field and its potential. Using the obtained solution, we construct an interior black hole spacetime which is everywhere regular. The singularity is replaced with a Nariai-type spacetime, whose topology is $\text{dS}_2 \times \text{S}^2$, in which the radius of the 2-sphere is constant. So long as the interior continues to expand indefinitely, the geometry becomes essentially compactified. The 2-dimensional de Sitter geometry appears despite the negative potential of the 3-form field. Such a dynamical compactification could shed some light on the origin of de Sitter geometry of our Universe, exacerbated by the Swampland conjecture. In addition, we show that the spacetime is geodesically complete. The geometry is singularity-free due to the violation of the null energy condition.
