Regular black hole interior spacetime supported by three-form field

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2021-04, Vol.81 (4), p.1-11, Article 278
• Main Authors: Bouhmadi-López, Mariam, Chen, Che-Yu, Chew, Xiao Yan, Ong, Yen Chin, Yeom, Dong-han
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Black holes; Elementary Particles; Geometry; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Singularities; Spacetime; String Theory; Topology
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09080-1

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 dS 2 × 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.