Separable electromagnetic perturbations of rotating black holes

APA

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

MLA

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

BibTex

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

Barry Wardell National University of Ireland

Talk Type Conference
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.