Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 81, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-021-09080-1
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Funding
- Basque Foundation of Science Ikerbasque
- Basque government (Spain) [IT956-16]
- Basque government (MINECO/AEI/FEDER, UE) [FIS2017-85076-P]
- Ministry of Science and Technology (MOST), Taiwan [107-2119-M-002-005, 108-2811-M-002-682]
- Institute of Physics of Academia Sinica (ASIoP)
- Taiwan National Center for Theoretical Sciences (NCTS)
- National Research Foundation of Korea [2018R1D1A1B07049126]
- NNSFC [11922508, 11705162]
- Natural Science Foundation of Jiangsu Province [BK20170479]
- Leung Center for Cosmology and Particle Astrophysics (LeCosPA) of National Taiwan University
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This paper demonstrates that a minimally coupled 3-form with a proper potential can sustain a regular black hole interior. By determining the metric function representing the radius of the 2-sphere, the solution for the 3-form field and its potential is obtained to construct a singularity-free interior black hole spacetime, with a Nariai-type spacetime replacing the singularity and potential implications for the de Sitter geometry of the Universe.
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 dS2xS2, 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.
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