Symmetries of Black Hole Perturbation Theory


Solomon, A. (2022). Symmetries of Black Hole Perturbation Theory. Perimeter Institute. https://pirsa.org/22110048


Solomon, Adam. Symmetries of Black Hole Perturbation Theory. Perimeter Institute, Nov. 03, 2022, https://pirsa.org/22110048


          @misc{ pirsa_22110048,
            doi = {10.48660/22110048},
            url = {https://pirsa.org/22110048},
            author = {Solomon, Adam},
            keywords = {Strong Gravity},
            language = {en},
            title = {Symmetries of Black Hole Perturbation Theory},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {nov},
            note = {PIRSA:22110048 see, \url{https://pirsa.org}}

Adam Solomon McMaster University

Talk Type Scientific Series


I discuss novel symmetries of perturbation theory around rotating and non-rotating black holes in general relativity, and discuss their origins and implications for gravitational-wave astronomy. This is motivated by two special aspects of black hole perturbations in four dimensions: isospectrality of quasinormal modes and the vanishing of tidal Love numbers. There turn out to be off-shell symmetries underlying each of these phenomena. One is a duality, which on shell reproduces the famous Chandrasekhar duality and therefore underlies isospectrality, and can be thought of as an extension of electric-magnetic duality to black hole backgrounds. The other is a set of "ladder symmetries" relating modes of different angular momentum or spin, which imply the vanishing of Love numbers. This has a geometric origin in the conformal symmetry of low-frequency modes.

Zoom link:  https://pitp.zoom.us/j/93633894223?pwd=cEFRYno5WSt5NUJlOWJLdVZHWjE1QT09