E-Book, Englisch, 408 Seiten, Web PDF
Torretti / Bunge Relativity and Geometry
1. Auflage 2014
ISBN: 978-1-4831-4737-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Foundations and Philosophy of Science and Technology Series
E-Book, Englisch, 408 Seiten, Web PDF
ISBN: 978-1-4831-4737-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Relativity and Geometry;4
3;Copyright Page;5
4;Table of Contents ;10
5;Preface;8
6;Introduction;14
7;Chapter 1. Newtonian Principles;21
7.1;1.1. The Task of Natural Philosophy;21
7.2;1.2. Absolute Space;22
7.3;1.3. Absolute Time;24
7.4;1.4. Rigid Frames and Coordinates;27
7.5;1.5. Inertial Frames and Newtonian Relativity;28
7.6;1.6. Newtonian Spacetime;33
7.7;1.7. Gravitation;44
8;Chapter 2. Electrodynamics and the Aether;48
8.1;2.1. Nineteenth-Century Views on Electromagnetic Action;48
8.2;2.2. The Relative Motion of the Earth and the Aether;51
9;Chapter 3. Einstein's 'Electrodynamics of Moving Bodies';61
9.1;3.1. Motivation;61
9.2;3.2. The Definition of Time in an Inertial Frame;63
9.3;3.3. The Principles of Special Relativity;67
9.4;3.4. The Lorentz Transformation. Einstein's Derivation of 1905;69
9.5;3.5. The Lorentz Transformation. Some Corollaries and Applications;79
9.6;3.6. The Lorentz Transformation. Linearity;84
9.7;3.7. The Lorentz Transformation. Ignatowsky's Approach;89
9.8;3.8. The "Relativity Theory of Poincaré and Lorentz";96
10;Chapter 4. Minkowski Spacetime;101
10.1;4.1. The Geometry of the Lorentz Group;101
10.2;4.2. Minkowski Spacetime as an Affine Metric Space and as a Riemannian Manifold;104
10.3;4.3. Geometrical Objects;111
10.4;4.4. Concept Mutation at the Birth of Relativistic Dynamics;120
10.5;4.5. A Glance at Spacetime Physics;127
10.6;4.6. The Causal Structure of Minkowski Spacetime;134
11;Chapter 5. Einstein's Quest for a Theory of Gravity;143
11.1;5.1. Gravitation and Relativity;143
11.2;5.2. The Principle of Equivalence;146
11.3;5.3. Gravitation and Geometry circa 1912;150
11.4;5.4. Departure from Flatness;156
11.5;5.5. General Covariance and the Einstein-Grossmann Theory;165
11.6;5.6. Einstein's Arguments against General Covariance: 1913-14;175
11.7;5.7. Einstein's Papers of November 1915;181
11.8;5.8. Einstein's Field Equations and the Geodesic Law of Motion;189
12;Chapter 6. Gravitational Geometry;199
12.1;6.1. Structures of Spacetime;199
12.2;6.2. Mach's Principle and the Advent of Relativistic Cosmology;207
12.3;6.3. The Friedmann Worlds;215
12.4;6.4. Singularities.;223
13;Chapter 7. Disputed Questions;233
13.1;7.1. The Concept of Simultaneity;233
13.2;7.2. Geometric Conventionalism;243
13.3;7.3. Remarks on Time and Causality;260
14;Appendix;270
14.1;A: Differentiable Manifolds.;270
14.2;B: Fibre Bundles;276
14.3;C: Linear Connections;278
14.4;D: Useful Formulae.;294
15;Notes;296
16;References;364
17;Index;394
