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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: On the Newman-Penrose formalism in higher dimensions: Robinson-Trautman and Kerr-Schild spacetimes

Presented by Marcello Ortaggio, Institute of Mathematics of the Academy of Sciences of the Czech Republic

12 December 2008 13:00 in CM221

The study of geometric optics has played an important role in the construction and classification of exact solutions of Einstein's equations in D=4 dimensions. A remarkable connection with the Petrov classification is provided by the Goldberg-Sachs theorem ("a vacuum metric is algebraically special iff it contains a shearfree geodesic null congruence"). In the past few years, possible extensions of these concepts to higher dimensions have been investigated. For instance, it has been shown that the Goldberg-Sachs theorem is "violated" in many ways when D>4 (e.g. by Myers-Perry black holes), and some consequences of the Bianchi and Ricci identities have been studied. After an introductory review, we will describe the D>4 Robinson-Trautman and Kerr-Schild classes of spacetimes to exemplify some of these ideas.

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