Newman-Penrose formalism


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Newman-Penrose formalism

[¦nü·mən ¦pen‚rōz ′fȯr·mə‚liz·əm]
(relativity)
A formalism in general relativity, based on spinor analysis, convenient for dealing with gravitational perturbations of space-time.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
To write the explicit form of Maxwell's electromagnetic field equations in Newman-Penrose formalism [47], the following complex null tetrad vectors I, n, m, and [bar.m] are chosen at each point in four-dimensional space, where 1 and n are a pair of real null tetrad vectors and m and [bar.m] are a pair of complex null tetrad vectors.
The dynamical behavior of spin-1 particles in curve spacetime is given by four coupled Maxwell's electromagnetic field equations expressed in Newman-Penrose formalism [48] as follows:
where [[phi].sub.0], [[phi].sub.1], and [[phi].sub.2] are the four components of Maxwell's spinor in the Newman-Penrose formalism. [epsilon], [rho], [pi], [alpha], [beta], [mu], [tau], and [gamma] are spin coefficients introduced by Newman and Penrose, and they are given by