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Cosmological production of charged black hole pairs
Open accessAbstract
We investigate the pair creation of charged black holes in a backgrond with a positive cosmological constant. We consider C metrics with a cosmological constant, and show that the conical singularities in the metric only disappear when it reduces to the Reissner--Nordstr\"om--de Sitter metric. We construct an instanton describing the pair production of extreme black holes and an instanton describing the pair production of nonextreme black holes from the Reissner--Nordstr\"om--de Sitter metric, and calculate their actions. There are a number of striking similarities between these instantons and the Ernst instantons, which describe pair production in a background electromagnetic field. We also observe that the type I instanton in the ordinary C metric with zero cosmological constant is actually the Reissner-Nordstr\"om solution.
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The action for lukewarm and charged Nariai instantons in arbitrary dimensions has been calculated in [20].
“The action for lukewarm and charged Nariai instantons in an arbitrary number of dimensions has been calculated in [20].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [20]
Section 5 (Pair creation rate and entropy; page unavailable) gives actions for lukewarm and charged Nariai instantons. But the instantons described in the Introduction have topology S² × S², and the copy does not calculate their actions in an arbitrary number of dimensions. That dimensional scope is unsupported. (LLM, conf=0.90)
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Research works printed but not linked: 13
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Cited by
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Emparan, R., Gregory, R., & Santos, C. (2001) · Physical Review D · doi:10.1103/physrevd.63.104022 · Cited by 61
Transdimensional tunneling in the multiverse
Blanco-Pillado, J. J., Schwartz-Perlov, D., & Vilenkin, A. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/05/005 · Cited by 38
Metadata
- Authors
- Mann, R. B., & Ross, S. F.
- Affiliations
- University of Cambridge (GB)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1995-08-15
- Volume
- 52
- Issue
- 4
- Pages
- 2254-2265
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2150880345
- Cited by
- 194
- References
- 0
- Citations by year
- 2026: 16 · 2025: 10 · 2024: 5 · 2023: 7 · 2022: 6 · 2021: 5 · 2020: 3 · 2019: 9 · 2018: 6 · 2017: 4 · 2016: 8 · 2015: 4 · 2014: 4 · 2013: 5 · 2012: 3
- FWCI
- 4.04
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Durham Research Online (Durham University) (submittedVersion)
- Durham Research Online (Durham University) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- charged black holes, black hole pair creation, cosmological constant, C-metric, conical singularities, instantons, extremal black holes, Euclidean action
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