PIRSA:25020038

Quasi-Einstein equations and a Myers-Perry rigidity problem

Woolgar, E. (2025). Quasi-Einstein equations and a Myers-Perry rigidity problem. Perimeter Institute. https://pirsa.org/25020038

Woolgar, Eric. Quasi-Einstein equations and a Myers-Perry rigidity problem. Perimeter Institute, Feb. 18, 2025, https://pirsa.org/25020038 

          @misc{ pirsa_PIRSA:25020038,
            doi = {10.48660/25020038},
            url = {https://pirsa.org/25020038},
            author = {Woolgar, Eric},
            keywords = {Cosmology},
            language = {en},
            title = {Quasi-Einstein equations and a Myers-Perry rigidity problem},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {feb},
            note = {PIRSA:25020038 see, \url{https://pirsa.org}}
          }

Eric Woolgar University of Alberta

Talk numberPIRSA:25020038
DOI10.48660/25020038
Collection
Talk Type Scientific Series
Subject

Abstract

Quasi-Einstein equations are generalizations of the Einstein equation. They arise from warped product Einstein metrics (Kaluza-Klein reductions), Ricci solitons, cosmology, near-horizon geometries, and smooth measured Lorentzian length spaces. Despite their apparent generality, they often have a surprising rigidity. I will review some recent developments in the area, focusing on near-horizon geometries, including Dunajski and Lucietti's near-horizon version of the Hawking rigidity theorem. I will discuss an application to 5-dimensional extreme (Myers-Perry type) black holes whose horizons admit the structure of the group SU(2).