Abstract
The emergence of a four-dimensional de Sitter (dS4) universe on an expanding bubble in the five-dimensional anti-de Sitter (AdS5) background has been suggested as a possible cosmological scenario. It is motivated by the difficulties in the realization of a stable de Sitter vacua in string theory. The bubble can be nucleated in a meta-stable pure AdS5 spacetime, but it is known that a pure AdS spacetime is non-perturbatively unstable. It means that the pure AdS5 background is an idealized situation, and in realistic situations, non-linear perturbations in AdS may lead to the formation of black holes due to the gravitational turbulent instability. To investigate how the proposed scenario works in a more realistic situation, we here study the nucleation process of a vacuum bubble in the Kerr-AdS5 spacetime. Especially we investigate conditions sufficient to ensure the nucleation of a vacuum bubble with a rotating black hole and how the black hole affects the transition rate. We find that even in the Kerr-AdS5 spacetime, a quasi-dS4 expansion can be realized on the nucleated vacuum bubble without contradicting the de Sitter swampland conjectures.
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Acknowledgments
The authors thank Shinji Mukohyama, Toshifumi Noumi, Kota Ogasawara, and Hiroaki Tahara for their helpful comments. This work was supported in part by Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Research Activity Start-up Grant No. 21K20371 (NO) and JSPS Fellows Grant No. 20J22946 (KU). NO is also supported by the Special Postdoctoral Researcher (SPDR) Program at RIKEN and the FY2021 Incentive Research Project at RIKEN.
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Koga, I., Oshita, N. & Ueda, K. dS4 universe emergent from Kerr-AdS5 spacetime: bubble nucleation catalyzed by a black hole. J. High Energ. Phys. 2023, 107 (2023). https://doi.org/10.1007/JHEP05(2023)107
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DOI: https://doi.org/10.1007/JHEP05(2023)107