PIRSA:10050028

Algebraically special solutions in higher dimensions

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}}
          }

Harvey Reall University of Cambridge

DOI 10.48660/10050028
Collection
Talk Type Conference
Subject

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.