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.

在本文中，我们证明了具有适当电势的最小耦合3形式可以支持规则的黑洞内部。通过为表示2个球体半径的度量函数选择合适的形式，我们求解3形式的场及其势。使用获得的解决方案，我们构造了一个内部黑洞时空，该时空到处都是规则的。奇异性被Nariai型时空代替，其时空拓扑为\（\ text {dS} _2 \ times \ text {S} ^ 2 \），其中2个球体的半径是恒定的。只要内部继续无限期地膨胀，几何形状就基本上变得紧凑了。尽管3型场的电位为负，但仍显示二维de Sitter几何形状。这种动态压实可以为我们的宇宙de Sitter几何学的起源提供一些启示，而Swampland猜想使这一问题更加恶化。此外，我们证明时空是大地测量学上完整的。由于违反了零能量条件，因此几何结构没有奇点。