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.
38+7 pages. v2: verson published in Particles (special issue "Selected Papers from Testing Gravity 2023")
References in corpus (16)
- Relativistic theory of tidal Love numbers
- Tidal Deformation and Dissipation of Rotating Black Holes
- On the Vanishing of Love Numbers for Kerr Black Holes
- The Tune of Love and the Nature(ness) of Spacetime
- Static response and Love numbers of Schwarzschild black holes
- Hidden Symmetry of Vanishing Love
- Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
- Love symmetry
- Fundamental theorem on gauge fixing at the action level
- Near-Zone Symmetries of Kerr Black Holes
- Electromagnetic duality anomaly in curved spacetimes
- Linear perturbations of self-gravitating spherically symmetric configurations
- Quantization of Gravity in the Black Hole Background
- Separable electromagnetic perturbations of rotating black holes
- Quantization of Gravity in Spherical Harmonic Basis
- Weyl Curvature Evolution System for GR