PIRSA:21060045 Conference Other

DOI10.48660/21060045

Conference/School: The 24th Capra meeting on Radiation Reaction in General Relativity

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}}
}

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.

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