Off-shell duality invariance of Schwarzschild perturbation theory
General Relativity and Quantum Cosmology
2023-11-08 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2310.04502,
title = {Off-shell duality invariance of Schwarzschild perturbation theory},
author = {Adam R. Solomon},
journal= {arXiv preprint arXiv:2310.04502},
year = {2023}
}
Comments
38+7 pages. v2: verson published in Particles (special issue "Selected Papers from Testing Gravity 2023")