Off-shell duality invariance of Schwarzschild perturbation theory
arXiv:2310.04502 · doi:10.3390/particles6040061
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.
arXiv comment38+7 pages. v2: verson published in Particles (special issue "Selected Papers from Testing Gravity 2023")
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