Shear-free, twisting Einstein-Maxwell metrics in the Newman-Penrose formalism | Zendy

Robert W. Lind | Zendy

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Shear-free, twisting Einstein-Maxwell metrics in the Newman-Penrose formalism

Author(s) -

Robert W. Lind

Publication year - 1974

Publication title -

general relativity and gravitation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.822

H-Index - 94

eISSN - 1572-9532

pISSN - 0001-7701

DOI - 10.1007/bf00758073

Subject(s) - physics , hypersurface , degenerate energy levels , general relativity , mathematical physics , differential geometry , maxwell's equations , formalism (music) , einstein , classical mechanics , linearized gravity , quantum mechanics , mathematical analysis , mathematics , art , musical , visual arts

The problem of finding algebraically special solutions of the vacuum Einstein-Maxwell equations is investigated using the spin coefficient formalism of Newman and Penrose. The general case, in which the degenerate null vectors are not hypersurface orthogonal, is reduced to a problem of solving five coupled differential equations that are no longer dependent on the affine parameter along the degenerate null directions.

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