Transverse Frames for Petrov Type I Spacetimes: A General Algebraic Procedure |
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| Authors: | Virginia Re Marco Bruni David R. Matravers Frances T. White |
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| Affiliation: | (1) Dip. di Fisica, !["ldquo"]("/content/m355p270652w2070/xlarge8220.gif") E. R. Caianiello,!["rdquo"]("/content/m355p270652w2070/xlarge8221.gif") Universitá di Salerno, Italy;(2) sez. di Napoli, Gruppo Coll. di Salerno, INFN, Via S. Allende, 84081 Baronissi (Sa), Italy;(3) Institute of Cosmology and Gravitation, Portsmouth University, Portsmouth, PO1 2EG, U.K |
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| Abstract: | We develop an algebraic procedure to rotate a general Newman-Penrose tetrad in a Petrov type I spacetime into a frame with Weyl scalars  1 and 3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting 1 and 3 to zero makes apparent the superposition of a Coulomb-type effect 2 with transverse degrees of freedom 0 and 4. |
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| Keywords: | Newman-Penrose formalism Weyl scalars Petrov types |
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