PIRSA:25020038 Scientific Series Cosmology

DOI10.48660/25020038

Series: Cosmology and Gravitation

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}}
}

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).

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