Scalar wave falloff in asymptotically anti–de Sitter backgrounds
Open accessAbstract
Conformally invariant scalar waves in black hole spacetimes which are asymptotically anti--de Sitter spacetimes are investigated. We consider both the $(2+1)$-dimensional black hole and $(3+1)$-dimensional Schwarzschild--anti-de Sitter spacetime as backgrounds. Analytical and numerical methods show that the waves decay exponentially in the $(2+1)$-dimensional black hole background. However, the falloff pattern of the conformal scalar waves in the Schwarzschild--anti-de Sitter background is generally neither exponential nor an inverse power rate, although the approximate falloff of the maximal peak is weakly exponential. We discuss the implications of these results for mass inflation.
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- Authors
- Chan, J. S. F., & Mann, R. B.
- Affiliations
- University of Waterloo (CA)
- ORCID
- Mann, R. B.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1997-06-15
- Volume
- 55
- Issue
- 12
- Pages
- 7546-7562
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2032416837
- Cited by
- 186
- References
- 26
- Citations by year
- 2026: 1 · 2025: 7 · 2024: 7 · 2023: 2 · 2022: 7 · 2021: 6 · 2020: 5 · 2019: 3 · 2018: 5 · 2017: 14 · 2016: 4 · 2015: 3 · 2014: 8 · 2013: 1 · 2012: 2
- FWCI
- 1.27
- 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)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- asymptotically anti-de Sitter spacetimes, black hole spacetimes, (2+1)-dimensional black holes, Schwarzschild-anti-de Sitter spacetime, exponential decay, mass inflation
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