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arXiv · 2310.04502

Off-shell duality invariance of Schwarzschild perturbation theory

Adam R. Solomon
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Abstract

We explore the duality invariance of the Maxwell and linearized Einstein-Hilbert actions on a non-rotating black hole background. On shell these symmetries are electric-magnetic duality and Chandrasekhar duality, respectively. Off shell they lead to conserved quantities; we demonstrate that one of the consequences of these conservation laws is that even- and odd-parity metric perturbations have equal Love numbers. Along the way we derive an action principle for the Fackerell-Ipser equation and Teukolsky-Starobinsky identities in electromagnetism.

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Adam R. Solomon. 2023-10-06. Off-shell duality invariance of Schwarzschild perturbation theory. https://doi.org/10.3390/particles6040061

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