Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes

Valeri P Frolov, Pavel Krtouš, David Kubizňák, Jorge Pinto Da Silva E Conceicao Santos, Apollo-University Of Cambridge Repository, Apollo-University Of Cambridge Repository
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
more » ... re 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.
doi:10.17863/cam.43543 fatcat:abxndruybzfnnhdyrwqrnuwgpa