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Quantum radiation from a5-dimensional rotating black hole
Open accessAbstract
We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We show that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables. The obtained angular equation is a generalization of the equation for spheroidal functions. The radial equation is similar to the radial Teukolsky equation for the 4-dimensional Kerr metric. We use these results to quantize the massless scalar field in the space-time of the 5-dimensional rotating black hole and to derive expressions for energy and angular momentum fluxes from such a black hole.
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Cites
Large Mass Hierarchy from a Small Extra Dimension
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3370 · Cited by 9,227
The hierarchy problem and new dimensions at a millimeter
Arkani–Hamed, N., Dimopoulos, S., & Dvali, G. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00466-3 · Cited by 6,563
Schwarzschild field inn dimensions and the dimensionality of space problem
Tangherlini, F. R. (1963) · Il Nuovo Cimento · doi:10.1007/bf02784569 · Cited by 1,003
Emparan, R., Gregory, R., & Santos, C. (2001) · Physical Review D · doi:10.1103/physrevd.63.104022 · Cited by 61
Cited by
Black Holes in Higher Dimensions
Emparan, R., & Reall, H. S. (2008) · Living Reviews in Relativity · doi:10.12942/lrr-2008-6 · Cited by 665
Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
Berti, E., Cardoso, V., & Casals, M. (2006) · Physical Review D · doi:10.1103/physrevd.73.024013 · Cited by 334
Hawking radiation from a (4+ n )-dimensional black hole: exact results for the Schwarzschild phase
Harris, C. M., & Kanti, P. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/10/014 · Cited by 170
Metadata
- Authors
- Frolov, V., & Stojković, D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-04-15
- Volume
- 67
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2165524476
- Cited by
- 191
- References
- 4
- FWCI
- 13.65
- Type
- journal article
- Language
- en
- Open access
- green
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- Frolov, V., & Stojković, D. (2003). Quantum radiation from a5-dimensional rotating black hole. Physical Review D. https://doi.org/10.1103/physrevd.67.084004
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
