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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.
Regions, Physical interpretation & Classification theorem
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tensor type weyl displaystyle classification petrov field null types general gravitational event iii relativity special fields theorem ii algebraically regions
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the Weyl tensor | instance of | Classification theoremWe can think of a fourth rank tensor | 0.80 | text |
| evaluated at some event | instance of | Classification theoremWe can think of a fourth rank tensor | 0.80 | text |
| as acting on the space of bivectors at that event like a linear operator acting on a vector space | instance of | Classification theoremWe can think of a fourth rank tensor | 0.80 | text |
| Petrov classification | related to References | Coley | 0.60 | section |
| Petrov classification | related to References | Classification | 0.60 | section |
| Petrov classification | related to References | Weyl | 0.60 | section |
| Petrov classification | related to References | Classical | 0.60 | section |
| Petrov classification | related to References | Quantum Gravity | 0.60 | section |
| Petrov classification | related to References | L35 | 0.60 | section |
| Petrov classification | related to References | L42 | 0.60 | section |
| Petrov classification | related to References | Bibcode | 0.60 | section |
| Petrov classification | related to References | L01 | 0.60 | section |
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