Introduction to the Theory of RelativityComprehensive coverage of the special theory (frames of reference, Lorentz transformation, relativistic mechanics of mass points, more), the general theory (principle of equivalence, Riemann-Christoffel curvature tensor, more) and the unified theory (Weyl's gauge-invariant geometry, Kaluza's five-dimensional theory and projective field theories, more.) Foreword by Albert Einstein. |
Contents
CHAPTER | 3 |
THE PROPAGATION OF LIGHT | 16 |
THE LORENTZ TRANSFORMATION | 28 |
VECTOR AND TENSOR CALCULUS IN AN n DIMENSIONAL | 47 |
RELATIVISTIC MECHANICS OF MASS POINTS | 85 |
RELATIVISTIC ELECTRODYNAMICS | 106 |
THE MECHANICS OF CONTINUOUS MATTER | 121 |
APPLICATIONS OF THE SPECIAL THEORY OF RELATIVITY | 133 |
THE FIELD EQUATIONS OF THE GENERAL THEORY | 175 |
RIGOROUS SOLUTIONS OF THE FIELD EQUATIONS OF | 198 |
THE EXPERIMENTAL TESTS OF THE GENERAL THEORY | 211 |
THE EQUATIONS OF MOTION IN THE GENERAL THEORY | 223 |
WEYLS GAUGEINVARIANT GEOMETRY | 245 |
KALUZAS FIVE DIMENSIONAL THEORY AND THE PROJEC | 254 |
A GENERALIZATION OF KALUZAS THEORY | 271 |
APPENDIX A | 281 |
THE PRINCIPLE OF EQUIVALENCE | 151 |
THE RIEMANNCHRISTOFFEL CURVATURE TENSOR | 161 |
APPENDIX B | 300 |
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Common terms and phrases
A-cylindrical acceleration affine connection approximation arbitrary assume body Christoffel symbols classical components compute conservation laws constant contravariant coördinate system coördinate transformations covariant with respect curvature tensor derivatives determined differential equations dimensional space electromagnetic field energy equal equations of motion Euler-Lagrange equations expression field equations five dimensional force formalism four dimensional frame of reference functions Galilean transformations geometry gravitational field identities inertial system infinitesimal integral introduce invariant Kaluza's linear Lorentz covariant Lorentz transformation mass points mathematical Maxwell's Maxwell's equations mc² mechanics metric tensor momentum multiplied obtain p-tensor p-vector parameter particle physics quantities relativistic right-hand side satisfied scalar side of eq singularity skewsymmetric solutions special coördinate system speed of light surface symmetric tensor density tensor of rank theory of gravitation theory of relativity three dimensional tions transformation equations transformation law u²/c² v²/c² values vanish variation velocity wave world vector