PIRSA:10050028 Conference Quantum Fields and Strings

DOI10.48660/10050028

Conference/School: Connections in Geometry and Physics 2010

Reall, H. (2010). Algebraically special solutions in higher dimensions. Perimeter Institute. https://pirsa.org/10050028

Reall, Harvey. Algebraically special solutions in higher dimensions. Perimeter Institute, May. 07, 2010, https://pirsa.org/10050028 

@misc{ pirsa_PIRSA:10050028,
  doi = {10.48660/10050028},
  url = {https://pirsa.org/10050028},
  author = {Reall, Harvey},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Algebraically special solutions in higher dimensions},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050028 see, \url{https://pirsa.org}}
}

Abstract

The Petrov classification of the Weyl tensor is an important tool in the study of exact solutions of the Einstein equation in 4d. For example, the Kerr solution was discovered in a study of spacetimes with algebraically special Weyl tensors. Algebraic classification of the Weyl tensor has been extended to higher dimensions. I shall review this classification and describe known families of algebraically special solutions. Recent progress towards obtaining a higher dimensional generalization of the Goldberg-Sachs theorem will be described.

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