- Title: Introduction to 2-Spinors in General Relativity
- Author: Peter O’Donnell
- Pages: 204 pages
- Publisher: World Scientific Publishing Company (April 2003)
- Language: English
- ISBN-10: 9812383077
- ISBN-13: 978-9812383075
Book Description
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.
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- Relativity: The Special and the General Theory
- Title: General Relativity for Mathematicians (Graduate Texts in Mathematics)
- Authors: R.K. Sachs, H.-H. Wu
- Pages: 291 pages
- Publisher: Springer; 1 edition (February 7, 1983)
- Language: English
- ISBN-10: 038790218X
- ISBN-13: 978-0387902180
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Related posts
- Introduction to 2-Spinors in General Relativity - Peter O’Donnell
- General Relativity: A Geometric Approach - Malcolm Ludvigsen
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- Advanced General Relativity (Cambridge Monographs on Mathematical Physics) - John Stewart
- Topics in Mathematical Physics General Relativity and Cosmology in Honor of Jerzy Plebanski - Hugo Garcia-Compean, Bogdan Mielnik, Merced Montesinos, Maciej Przanowski
- Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology - Tai L. Chow
- Einstein’s Space-Time: An Introduction to Special and General Relativity - Rafael Ferraro
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- Lectures on General Relativity - A. Papapetrou
- Essentials of Mathematica: With Applications to Mathematics and Physics - Nino Boccara
- Title: General Relativity: A Geometric Approach
- Author: Malcolm Ludvigsen
- Pages: 230 pages
- Publisher: Cambridge University Press (May 28, 1999)
- Language: English
- ISBN-10: 0521630193
- ISBN-13: 978-0521630191
Book Description
Starting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear, concise and up-to-date introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional coordinate-dependent approach. This allows the theory to be pared down and presented in its simplest and most elegant form. Topics covered include flat spacetime (special relativity), Maxwell fields, the energy-momentum tensor, spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes and singularities, and cosmology. In developing the theory, all physical assumptions are clearly spelled out and the necessary mathematics is developed along with the physics. Exercises are provided at the end of each chapter and key ideas in the text are illustrated with worked examples. Solutions and hints to selected problems are also provided at the end of the book. This textbook will enable the student to develop a sound understanding of the theory of general relativity, and all the necessary mathematical machinery.
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Related posts
- Introduction to 2-Spinors in General Relativity - Peter O’Donnell
- General Relativity for Mathematicians (Graduate Texts in Mathematics) - R.K. Sachs, H.-H. Wu
- General Relativity - Robert M. Wald
- Advanced General Relativity (Cambridge Monographs on Mathematical Physics) - John Stewart
- Topics in Mathematical Physics General Relativity and Cosmology in Honor of Jerzy Plebanski - Hugo Garcia-Compean, Bogdan Mielnik, Merced Montesinos, Maciej Przanowski
- Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology - Tai L. Chow
- Einstein’s Space-Time: An Introduction to Special and General Relativity - Rafael Ferraro
- Relativity: An Introduction to Special and General Relativity - Hans Stephani
- Lectures on General Relativity - A. Papapetrou
- Relativity: The Special and the General Theory
- Title: General Relativity
- Author: Robert M. Wald
- Pages: 506 pages
- Publisher: University Of Chicago Press (June 15, 1984)
- Language: English
- ISBN-10: 0226870332
- ISBN-13: 978-0226870335
Reviews
“Wald’s book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding.”—S. Chandrasekhar
“A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect.”—L. P. Hughston, Times Higher Education Supplement
“Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come.”—James W. York, Physics Today
About the Author
Robert M. Wald is professor in the Department of Physics and the Enrico Fermi Institute at the University of Chicago. He is the author of Space, Time, and Gravity: The Theory of the Big Bang and Black Holes, also published by the University of Chicago Press.
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Related posts
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- General Relativity for Mathematicians (Graduate Texts in Mathematics) - R.K. Sachs, H.-H. Wu
- General Relativity: A Geometric Approach - Malcolm Ludvigsen
- Advanced General Relativity (Cambridge Monographs on Mathematical Physics) - John Stewart
- Topics in Mathematical Physics General Relativity and Cosmology in Honor of Jerzy Plebanski - Hugo Garcia-Compean, Bogdan Mielnik, Merced Montesinos, Maciej Przanowski
- Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology - Tai L. Chow
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- Relativity: The Special and the General Theory
- Title: Advanced General Relativity (Cambridge Monographs on Mathematical Physics)
- Author: John Stewart
- Pages: 238 pages
- Publisher: Cambridge University Press (November 26, 1993)
- Language: English
- ISBN-10: 0521449464
- ISBN-13: 978-0521449465
Reviews
“…the theoretical tools for detailed analytical and numerical prediction are becoming increasingly important. Stewart’s concise and lucid summary, the only book of its kind, is therefore very timely….a fine and very useful book, which I strongly recommend to all interested in the subject.” Malcolm MacCallum, Physics Today
“This is a very well written book, including topics such as spinor algebra, the Newman-Penrose formalism, Dirac spinors, and Lie derivatives. The mathematical proofs are very clear. A large number of exercises make Stewart’s text a valuable addition to advanced formal courses in general relativity. The book is also a valuable reference for researchers who have completed their formal education.” Joseph Weber, Comments on Astrophysics
Book Description
A modern self-contained introduction to key topics in advanced general relativity. The opening chapter reviews the subject, with strong emphasis on the geometric structures underlying the theory. The next chapter discusses 2-component spinor theory, its usefulness for describing zero-mass fields, its practical application via Newman-Penrose formalism, together with examples and applications. The subsequent chapter is an account of the asymptotic theory far from a strong gravitational source, describing the mathematical theory by which measurements of the far-field and gravitational radiation emanating from a source can be used to describe the source itself. The final chapter describes the natural characteristic initial value problem, first in general terms, and then with particular emphasis for relativity, concluding with its relation to Arnold’s singularity theory. Exercises are included.
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Related posts
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- General Relativity for Mathematicians (Graduate Texts in Mathematics) - R.K. Sachs, H.-H. Wu
- General Relativity: A Geometric Approach - Malcolm Ludvigsen
- General Relativity - Robert M. Wald
- Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology - Tai L. Chow
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- Cosmic Strings and Other Topological Defects (Cambridge Monographs on Mathematical Physics) - A. Vilenkin, E. P. S. Shellard
- Methods of Mathematical Physics, Vol. 2 - R. Courant, D. Hilbert
