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Cited by 2,172Relativity and Gravitational TheoryAlgebraic and Geometric AnalysisAdvanced Differential Geometry Research

Spinors and Space-Time

Penrose, Roger, Rindler, Wolfgang·1984·Cambridge University Press eBooks
DOI 10.1017/cbo9780511564048
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Abstract

This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.

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  • The photon wave function is the self-dual (or anti self-dual) part of the electromagnetic field tensor.

    “For those who are accustomed to using the spinorial description of relativistic particles, the photon wave function is a familiar object. It is the self-dual (or anti self-dual) part of the electromagnetic field tensor (cf. Ref. [29]).”

    From On the Wave Function of the Photon (1994) · cites this paper as [29]

  • In the spinorial formalism, the observation that in curved space both helicities propagate without mixing is a simple consequence of the fact that both spinors φAB and φA'B' satisfy separate equations.

    “In. the spinorial formalism, our observation that in curved space both helicities propagate without mixing is a simple consequence of the fact that both spinors φAB and φA'B' satisfy separate equations of the form [29]”

    From On the Wave Function of the Photon (1994) · cites this paper as [29]

  • Classical Dirac fields necessarily violate the DEC.

    “3. classical Dirac fields [necessarily] (Penrose and Rindler 1984)”

    From A Primer on Energy Conditions (2017) · cites this paper as Penrose and Rindler 1984

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Authors
Penrose, R., & Rindler, W.
Venue
Cambridge University Press eBooks
Publisher
Cambridge University Press
Published
1984-10-18
DOI
10.1017/cbo9780511564048
OpenAlex
W1789645782
Cited by
2,172
References
0
Citations by year
2026: 42 · 2025: 47 · 2024: 36 · 2023: 62 · 2022: 66 · 2021: 82 · 2020: 50 · 2019: 54 · 2018: 55 · 2017: 53 · 2016: 63 · 2015: 55 · 2014: 69 · 2013: 76 · 2012: 60
FWCI
14.09
Type
book
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 9239 d)
Locations
  • Cambridge University Press eBooks (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Mathematics › Applied Mathematics › Algebraic and Geometric Analysis
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
Keywords
spinor calculus, spacetime structure, general relativity, differential geometry

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