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Introduction to 2-Spinors in General Relativity
 
 
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Introduction to 2-Spinors in General Relativity [Hardcover]

Peter O'Donnell (Author)

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Book Description

9812383077 978-9812383075 April 2003
A study of 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract. This should give the reader greater physical intuition into the way in which spinors behave. The author concentrates on the algebra and calculus of spinors connected with curved space-time. Many of the well-known tensor fields in general relativity are shown to have spinor counterparts. An analysis of the Lanczos spinor concludes the work, and some of the techniques so far encountered are applied to this. Exercises play an important role throughout and are given at the end of each chapter.

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Editorial Reviews

Review

... useful for those who are working with the two-spinor formalism and/or are interested in the Lanczos theory. -- General Relativity and Gravitation

this book is good reading for students not being acquainted with general relatvity theory -- Zentralblatt fur Mathematik

From the Publisher

Readership: Postgraduate level students and researchers.

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Inside This Book (learn more)
First Sentence:
It has been argued that the most natural way of discussing spinors is by means of the theory of representations of groups (see, for example, Cartan, 1966; Carmeli and Malin, 2000). Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
orthonormalisation conditions, univalent spinors, spin coefficient form, null tetrad vectors, spinor equivalent, spin coefficients, spinor version, curvature spinors, geodesic coordinate system, principal null directions, dyad components, intrinsic derivatives, spin basis, prime operation, tensor belonging, unique tensor, natural basis vectors, null flag, weighted scalars, metric tensor gab, covariant vector field, spinor form, tensor transformation law, null cone, timelike vector
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Weyl Lanczos
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