Introduction to 2-spinors in General RelativityWorld Scientific, 2003 - 204 páginas This book deals with 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 gives the reader greater physical intuition into the way in which spinors behave. The book 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 book, 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. Sample Chapter(s). Spinor Geometry (238 KB). Contents: Spinor Geometry; Spinor Algebra; Spinor Analysis; Lanczos Spinor. Readership: Postgraduate level students and researchers. |
Conteúdo
Preface | 1 |
Spinor algebra | 13 |
Lanczos spinor | 91 |
102 | 117 |
Appendix A Aspects of general relativity | 127 |
97 | 170 |
| 185 | |
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Termos e frases comuns
arbitrary array belonging to Tp Bianchi identities called Christoffel symbols complex conjugate Consider constant contraction contravariant vector covariant derivative covariant vector curve denoted ds² Einstein Əxi Əxt field equations geodesic coordinate system geometry gij,k given Grav gravitational field H₁ Habc HABCC Hence independent components indices kpc² Lanczos coefficients Lanczos tensor linear Lorentz Math matrix metric tensor Minkowski space Newtonian null directions null tetrad null vectors obtained parameter partial derivatives particle Penrose Phys quantities Rabcd Ricci tensor Riemann space Riemann tensor rotation scalar field sin² space-time manifold special relativity spin coefficients spin-vector spinor equivalent symmetric tensor equation tensor field term theorem theory timelike transformation law Transvecting unique tensor V₁ VABCD valence vector field vector space Weyl spinor Weyl tensor Weyl-Lanczos equations XABCD yields zero მე მი