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... > mathematical technique > geometry > differential geometry > Riemannian manifold > Lorentz manifold > Petrov classification

Terme préférentiel

Petrov classification  

Définition(s)

  • In differential geometry and theoretical physics, the Petrov classification (also known as Petrov–Pirani–Penrose classification) describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold. It is most often applied in studying exact solutions of Einstein's field equations, but strictly speaking the classification is a theorem in pure mathematics applying to any Lorentzian manifold, independent of any physical interpretation. The classification was found in 1954 by A. Z. Petrov and independently by Felix Pirani in 1957. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Petrov_classification)

Concept(s) générique(s)

Concept(s) associé(s)

Synonyme(s)

  • Petrov–Pirani–Penrose classification

Traductions

URI

http://data.loterre.fr/ark:/67375/MDL-PK4G8QZP-6

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