## Classical Fields, Particles, and the Theory of Relativity |

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### Contents

Comments on PreRelativity Physics | 3 |

HI Properties of the Lorentz Group of Transformations | 22 |

Transformation Properties of Certain Geometric Objects | 50 |

Copyright | |

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### Common terms and phrases

angular momentum Charged Particles Classical Theory components connection conservation laws considered constant coordinate transformations curvature tensor defined derivatives Dirac discussed Einstein's field equations electrodynamics energy equations of motion example expression field theory flat space-time formulation frame of reference fundamental form given space-time gives gravitational field group of motions hypersurface identities independent inertial frame infinitesimal transformation interaction invariance properties J. A. Wheeler L. P. Eisenhart Lagrange density Lagrangian leads linear first integrals Lorentz covariant Lorentz group Lorentz transformation matter tensor Maxwell-Lorentz theory metric tensor obtained parameter Phys physical problem quantities quantization radiation relativistic restricted theory Riemannian Geometry Riemannian space-time rotation satisfy scalar Schwarzschild solution space space-time space-time admitting spatial spinor superpotential symmetry properties synchronous frame takes the form test particle tetrad Theory of Fields theory of relativity timelike transformation law vanish variational principle vector velocity verified York