2016/10/31 by Bernardo Araneda
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Cosmology and Gravitation Theories #Killing spinor #Noncommutative and Quantum Gravity Theories #Operator (biology) #Scalar (mathematics) #Scalar field #Spin (aerodynamics) #Spinor #Symmetry (geometry) #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1088/1361-6382/aa51ff
published as Class. Quantum Grav. 34 (2017) 035002 · 57 pages, no figures; v3: minor changes, matches published version
openalex created_date 2016/10/14 · openalex publication_date 2016/12/29 · arxiv created 2017/03/27 · arxiv updated 2017/03/28 · openalex updated_date 2026/08/05
Abstract In the class of vacuum Petrov type D spacetimes with cosmological constant, which includes the Kerr-(A)dS black hole as a particular case, we find a set of four-dimensional operators that, when composed off shell with the Dirac, Maxwell and linearized gravity equations, give a system of equations for spin weighted scalars associated with the linear fields, that decouple on shell . Using these operator relations we give compact reconstruction formulae for solutions of the original spinor and tensor field equations in terms of solutions of the decoupled scalar equations. We also analyze the role of Killing spinors and Killing–Yano tensors in the spin weight zero equations and, in the case of spherical symmetry, we compare our four-dimensional formulation with the standard 2 + 2 decomposition and particularize to the Schwarzschild-(A)dS black hole. Our results uncover a pattern that generalizes a number of previous results on Teukolsky-like equations and Debye potentials for higher spin fields.