Year: 2021
Type: article
Abstract: 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 $$\text {dS}_2 \times \text {S}^2$$ 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.
Source: The European Physical Journal C
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Center for Theoretical Sciences, National Natural Science Foundation of China, Academia Sinica, Eusko Jaurlaritza, Ministerio de Economía y Competitividad, National Research Foundation of Korea, Ikerbasque, Basque Foundation for Science, Natural Science Foundation of Jiangsu Province, Ministry of Science and Technology, Taiwan, National Taiwan University, Yangzhou University, Physics Division, National Center for Theoretical Sciences, Agencia Estatal de Investigación
OpenAlex ID: W3030728719