Petrov classification

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Petrov classification

[′pe‚träv ‚klas·ə·fə‚kā·shən]
(relativity)
An algebraic classification of space-times based on eigenvalues of the curvature tensor.
References in periodicals archive ?
Kerr, "Gravitational field of a spinning mass as an example of algebraically special metrics," Physical Review Letters, vol.
In [12], it was shown that the Newman-Janis translation works for algebraically special metrics which belong to the Kerr-Schild class [13] and can be presented as [g.sub.[mu]v] = [[eta].sub.[mu]v] + 2f(r)[k.sub.[mu][k.sub.v], where [[eta].sub.[mu]v] is the Minkowski metric and [k.[mu]] are principal null congruences.
Gurses and Gursey have found that the algebraically special metrics of the Kerr-Schild class can be presented in the Lorentz covariant coordinate system, developed the general approach based on the complex Trautman-Newman techniques (which include the Newman-Janis translation), and derived the axially symmetric metric in the general, model-independent form.
any algebraically special [V.sub.4] embedded into [E.sub.6] must have [F.sub.ab] = 0 (32)
For algebraically special metrics, the Petrov classification is a way to characterize the space-time by the number of times a principal null direction (PND) admits.