2018/04/30 by Valeri P. Frolov, Pavel Krtouš, David Kubizňák +1 · 2 citations
Mathematics · Physics and Astronomy · #Angular momentum #Ansatz #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Field (mathematics) #Mathematical physics #Mathematics #Mechanics #Partial differential equation #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Rotating black hole #Vector field #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevlett.120.231103
published as Phys. Rev. Lett. 120, 231103 (2018) · 5 pages, 1 figure [v3: title changed, minor modifications, references updated]
arxiv created 2018/05/31 · openalex publication_date 2018/06/06 · arxiv updated 2018/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.