References & Citations
General Relativity and Quantum Cosmology
Title: Off-shell duality invariance of Schwarzschild perturbation theory
(Submitted on 6 Oct 2023 (v1), last revised 7 Nov 2023 (this version, v2))
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.
Submission history
From: Adam Solomon [view email][v1] Fri, 6 Oct 2023 18:00:11 GMT (39kb)
[v2] Tue, 7 Nov 2023 16:23:40 GMT (39kb)
Link back to: arXiv, form interface, contact.