Relativity: The Special and General TheoryRobert Geroch builds on Einstein's work with commentary that addresses the ideas at the heart of the theory, bringing a modern understanding of relativity to the text. He elucidates how special relativity is a reconciliation of the contradictions between the nature of light and the principle of relativity; he expands on Einstein's treatment of the geometry of space-time and the fundamental notion of an "event"; he explains in detail, but without technical language, the equivalence of inertial and gravitational mass, a cornerstone of general relativity. |
Contents
PART I | 5 |
Space and Time in Classical Mechanics | 13 |
The Theorem of the Addition of Velocities | 23 |
On the Idea of Time in Physics | 29 |
On the Relativity of the Conception | 38 |
The Lorentz Transformation | 40 |
The Behaviour of MeasuringRods | 47 |
The Heuristic Value of the Theory | 56 |
Behaviour of Clocks and MeasuringRods | 101 |
Gaussian Coordinates | 111 |
The SpaceTime Continuum of the Special | 116 |
Exact Formulation of the General | 123 |
PART III | 133 |
The Structure of Space According to | 143 |
Minkowskis FourDimensional Space | 155 |
Commentary by Robert Geroch | 171 |
Experience and the Special Theory | 65 |
Minkowskis FourDimensional Space | 72 |
The Gravitational Field | 82 |
In What Respects Are the Foundations | 92 |
The Cultural Legacy of Relativity Theory | 225 |
| 247 | |
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Common terms and phrases
acceleration according ęther al field behaviour body of reference brick bullets chest classical mechanics clocks co-ordinate system consideration continuum coordinate-values corresponding curvature curved definition describe determine direction disc discussion distance earth eclipse Einstein embankment emitted ence energy equation Euclidean geometry experience fixed stars formulated four-dimensional fundamental Gauss gravitational field gravitational mass ideas imagine inertial mass introduce laws of nature laws of physics length light in vacuo little rods Lorentz transformation manner marble slab material points matter mc² means measure measuring-rods Minkowski's motion observer obtain orbit particle phenomena physicists plane geometry position principle of relativity propagation of light railway carriage ray of light reference-body regard rela relativity theory respect rest result rigid body Robert Geroch rotating Section simultaneous space-time special relativity special theory speed spherical statement straight line surface system of co-ordinates theory of relativity tion universe velocity of light


