Relativity: Proceedings of the Relativity Conference in the Midwest, held at Cincinnati, Ohio, June 2–6, 1969

The Relativity Conference in the Midwest was held in Cincin nati from June 2-6, 1969 and was sponsored jointly by the Aerospace Research Laboratories and the University of Cincinnati. During 1969, the Aerospace Research Laboratories celebrated the twentieth year of its existence and the University of Cincinnati celebrated its sesquicentennial year. Because of the extended interest of the Aerospace Research Laboratories in the Theory of Relativity and the recent arrival at the University of Cincinnati of one of the confer ence organizers it was felt that sponsoring a National Conference on Relativity designed primarily for participation by American scientists would represent a worthwhile contribution to the joint celebrations. This was the first formal national conference specifically devoted to relativity held in this country since the 1957 conference on The Role of Gravitation in Physics held in Chapel Hill. The format of the week-long conference consisted primarily of invited papers and extensive informal discussions. Contributed papers were generally discouraged except as their subject matter fit into the discussions. At no time was a clock used to terminate an invited talk; it was frequently necessary, however, to terminate the dis cussions after some hours because of the onset of weariness in mind and stomache. By general demand a special informal session was organized and held on Tuesday night to discuss "Superspace. " The Superspace Session started at 8:00 P. M. and faded away beginning at 2:00 A. ~L This volume contains a summary of most of the invited papers.

Science & Math

Carmeli, Moshe

Fickler, Stuart I

Witten, Louis

Mathematics

Plenum Press

This work presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view. About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation. The text includes an introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.

Classical fields: General relativity and gauge theory

Physics

John Wiley and Sons

Statistical Theory and Random Matrices (Pure & Applied Mathematics)

Marcel Dekker, Inc.

Representations of the rotation and Lorentz groups: An introduction (Lecture notes in pure and applied mathematics ; 16)

M. Dekker

This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory.There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems.The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book. The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed.The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Group Theory and General Relativity: Representations of the Lorentz Group and Their Applications to the Gravitational Field

Imperial College Pr

This book deals with special relativity theory and its application to cosmology. It presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The book will be of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

Cosmological Special Relativity: Structure of Space, Time and Velocity

Astronomy & Space Science

World Scientific Publishing Company

Theory of Spinors: An Introduction

Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only.
The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.
The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.
Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.

Malin, Shimon

This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view.About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation.The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.

Classical Fields

This study presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied.

Cosmological Special Relativity: The Large-Scale Structure of Space, Time and Velocity, Second Edition

World Scientific Pub Co Inc

Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only.The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.

See the best price to sell, buy, or rent books by Carmeli, Moshe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Carmeli, Moshe

See the best price to sell, buy, or rent books by Carmeli, Moshe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Relativity: Proceedings of the Relativity Conference in the Midwest, held at Cincinnati, Ohio, June 2–6, 1969

Classical fields: General relativity and gauge theory

Statistical Theory and Random Matrices (Pure & Applied Mathematics)

Representations of the rotation and Lorentz groups: An introduction (Lecture notes in pure and applied mathematics ; 16)

Group Theory and General Relativity: Representations of the Lorentz Group and Their Applications to the Gravitational Field

Cosmological Special Relativity: Structure of Space, Time and Velocity

Theory of Spinors: An Introduction

Classical Fields

Cosmological Special Relativity: The Large-Scale Structure of Space, Time and Velocity, Second Edition

Theory of Spinors: An Introduction