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Finsler Geometry, Relativity and Gauge Theories

  • G. S. Asanov

Part of the Fundamental Theories of Physics book series (FTPH, volume 12)

Table of contents

  1. Front Matter
    Pages i-x
  2. Motivation and Outline of the Book

    1. Front Matter
      Pages 1-1
    2. G. S. Asanov
      Pages 3-16
  3. Introduction to Finsler Geometry

    1. Front Matter
      Pages 17-17
    2. G. S. Asanov
      Pages 19-46
    3. G. S. Asanov
      Pages 47-81
  4. Basic Equations

  5. Additional Observations

    1. Front Matter
      Pages 193-193
  6. Back Matter
    Pages 224-370

About this book

Introduction

The methods of differential geometry have been so completely merged nowadays with physical concepts that general relativity may well be considered to be a physical theory of the geometrical properties of space-time. The general relativity principles together with the recent development of Finsler geometry as a metric generalization of Riemannian geometry justify the attempt to systematize the basic techniques for extending general relativity on the basis of Finsler geometry. It is this endeavour that forms the subject matter of the present book. Our exposition reveals the remarkable fact that the Finslerian approach is automatically permeated with the idea of the unification of the geometrical space-time picture with gauge field theory - a circumstance that we try our best to elucidate in this book. The book has been written in such a way that the reader acquainted with the methods of tensor calculus and linear algebra at the graduate level can use it as a manual of Finslerian techniques orientable to applications in several fields. The problems attached to the chapters are also intended to serve this purpose. This notwithstanding, whenever we touch upon the Finslerian refinement or generalization of physical concepts, we assume that the reader is acquainted with these concepts at least at the level of the standard textbooks, to which we refer him or her.

Keywords

geometry gravity kinematics mechanics relativity special relativity theory of relativity transformation

Authors and affiliations

  • G. S. Asanov
    • 1
  1. 1.Department of Theoretical PhysicsMoscow State UniversityRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5329-1
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8853-4
  • Online ISBN 978-94-009-5329-1
  • Buy this book on publisher's site
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