Author(s): Anatoly Logunov
Publisher: Mir Publishers
Year: 1991
Language: English
City: Moscow
Front Cover
Title Page
CONTENTS
PREFACE
1. SPACE AND TIME
1.1. Space and Time in Newton s Mechanics
1.2. Maxwell–Lorentz Electrodynamics and Minkowski Unified Space-Time
1.3. Lorentz Transformations
1.4. Relativity of Time and Length Contraction
15 . Invariance of Maxwell — Lorentz Equations and Law of Transformation of Electromagnetic Field
1.6. Poincare’s Relativistic Mechanics
1.7. Stationary Action Principle in Electrodynamics
1.8. Electrodynamics in Arbitrary Coordinates
1.9. Equations of Motion and Conservation Laws in Classical Field Theory
1.10. Bel infante Energy-Momentum Tensor
1.11. Coordinate Velocity of Light
1.12. Generalized Inertial Reference Frames
1.13. Transformations Between Different Generalized Inertial Frames
1.14. Translation and Rotation Subgroup
1.15. Composition of Coordinate Velocities
1.16. Examples of Generalized Inertial Reference Frames
1.17. Clock Synchronization at Different Points of Space
1.18. Generalized Principle of Relativity
1.19. Relativistic Uniformly Accelerated Motion
1.20. Group of Relativistic Uniformly Accelerated Frames
1.21. Clock Paradox
1.22. Relation Between Coordinate and Physical Quantities
1.23. Equations and Relations of Mechanics in Arbitrary Inertial Reference Frame
1.24. Equations of Electrodynamics in Arbitrary Inertial Reference Frame
2. GEOMETRY AND PHYSICS
2 .1. Tensor Analysis
2.2. Riemannian Geometry
2.3. Physical Field and Related Natural Geometry
2.4. Form-Invariance Condition for Metric Tensor
2.5. Space-Time Geometry and Conservation Laws
2.6. Conditions for Killing Equations to be Solved
2.7. Killing Vectors and Conservation Laws in Pseudo-Euclidean Space-Time
2.8. Riemannian Geometry and Gravitation
3. RELATIVISTIC THEORY OF GRAVITATION
3.1. Inertial Mass in GTR
3.2. Geometrization and General Relations in RTG
3.3. Main Identity
3.4. Equations of RTG
3.5. On Ambiguity of GTR Predictions for Gravitational Effects and Fundamentals of RTG
REFERENCES
