2016/01/31 by Koray Düztaş
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coulomb #Electromagnetic field #Electron #Field (mathematics) #Mathematical physics #Mathematics #Null (SQL) #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar field #Schwarzschild radius #Spacetime #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1140/epjp/i2017-11710-7
published as Eur. Phys. J. Plus (2017) 132:406 · More detailed than the published version
openalex publication_date 2017/09/01 · arxiv created 2017/10/12 · arxiv updated 2017/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a test, non-null electromagnetic field special in the sense that the principal null directions of the field lie along the two repeated principal null directions of the type D vacuum background. We prove that the special non-null field is a valid solution of the Maxwell equations on a type D background. This field behaves as 1/r2 and the only non-vanishing Maxwell scalar is ϕ1 so it can be called the Coulomb field. We show that the contribution to the energy and angular momentum fluxes of the Coulomb field vanishes at any surface of integration, on the type D vacuum backgrounds Kerr, Kerr-Taub-NUT, Taub-NUT, and Schwarzschild. Therefore this field does not lead to any perturbations of the mass and angular momentum parameters of these space-times.