PIRSA:21060045

Separable electromagnetic perturbations of rotating black holes

Wardell, B. (2021). Separable electromagnetic perturbations of rotating black holes. Perimeter Institute. https://pirsa.org/21060045

Wardell, Barry. Separable electromagnetic perturbations of rotating black holes. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060045 

          @misc{ pirsa_PIRSA:21060045,
            doi = {10.48660/21060045},
            url = {https://pirsa.org/21060045},
            author = {Wardell, Barry},
            keywords = {Other},
            language = {en},
            title = {Separable electromagnetic perturbations of rotating black holes},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060045 see, \url{https://pirsa.org}}
          }

Barry Wardell

University College Dublin

Talk number
PIRSA:21060045
Collection
Talk Type
Subject
Abstract
We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations, satisfy the Teukolsky equation, and are related to the Maxwell scalars by straightforward and separable inversion relations. Our construction, based on the GHP formalism, avoids the need for a mode ansatz and leads to potentials that represent both static and non-static solutions. As an explicit example, we specialise the procedure to mode-decomposed perturbations of Kerr spacetime and in the process make connections with previous results.