The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A space-time calculus based on pairs of null directions
Abstract
A formalism is presented for the treatment of space-times, which is intermediate between a fully covariant approach and the spin-coefficient method of Newman and Penrose. With the present formalism, a pair of null directions only, rather than an entire null tetrad, is singled out at each point. The concept of a spin- and boost-weighted quantity is defined, the formalism operating entirely with such quantities. This entails the introduction of modified differentiation operators, one of which represents a natural extension of the definition of the operator ð which had been introduced earlier by Newman and Penrose. For suitable problems, the present formalism should lead to considerable simplifications over that achieved by the standard spin-coefficient method.
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“The resulting formalism is covariant with respect to rotations of the spatial basis vectors and boosts of the real null directions and, as such, is 'halfway' between a fully covariant approach and the NP spin-coefficient approach and leads to considerably simpler equations with fewer complex variables.”
From Algebraically special Einstein–Maxwell fields (2017) · cites this paper as [17]
Citations
Cites
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
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Cited by
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
Algebraically special Einstein–Maxwell fields
Van den Bergh, N. (2017) · General Relativity and Gravitation · doi:10.1007/s10714-016-2171-x · Cited by 11
Metadata
- Authors
- Geroch, R., Held, A., & Penrose, R.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1973-07-01
- Volume
- 14
- Issue
- 7
- Pages
- 874-881
- ISSN
- 0022-2488
- 1089-7658
- Cited by
- 424
- References
- 1
- Language
- en
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