Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes.
Frolov, Valeri P
Phys Rev Lett
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Frolov, V. P., Krtouš, P., Kubizňák, D., & Pinto Da Silva e Conceicao Santos, J. (2018). Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes.. Phys Rev Lett, 120 (23), 231103-231103. https://doi.org/10.1103/PhysRevLett.120.231103
We demonstrate the separability of the massive vector (Proca) field equation in general Kerr-NUT-AdS black-hole spacetimes in any number of dimensions, filling a long-standing gap in the literature. The obtained separated equations are studied in more detail for the four-dimensional Kerr geometry and the corresponding quasinormal modes are calculated. Two of the three independent polarizations of the Proca field are shown to emerge from the separation ansatz and the results are found in an excellent agreement with those of the recent numerical study where the full coupled partial differential equations were tackled without using the separability property.
be equally used in those circumstances. V. F. thanks the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Killam Trust for their financial support. P. K. is supported by Czech Science Foundation Grant No. 17-01625S. D. K. acknowledges the Perimeter Institute for Theoretical Physics and the NSERC for their support. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation and Science. J. E. S. is supported in part by STFC Grants No. PHY-1504541 and No. ST/P000681/1.
External DOI: https://doi.org/10.1103/PhysRevLett.120.231103
This record's URL: https://www.repository.cam.ac.uk/handle/1810/296496
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Licence URL: http://creativecommons.org/licenses/by/4.0/
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