## The mathematical theory of relativity |

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### Contents

INTRODUCTION | 1 |

CHAPTER I | 8 |

The fundamental quadratic form | 10 |

Copyright | |

102 other sections not shown

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### Common terms and phrases

3-index symbols Accordingly affine geometry antisymmetrical antisymmetrical tensor arbitrary atom becomes clock coefficients components condition consider constant contravariant vector coordinate-system corresponding covariant derivative covariant differentiation defined definition density determined differentiation dimensions direction distance Einstein's law electromagnetic field electromagnetic potential electron empty space energy energy-tensor equivalent expression field of force flux formulae four-dimensional function Galilean coordinates gauge-system Gaussian curvature generalised geodesic geometry gives gravitational field Hamiltonian derivative Hence identified in-tensor integral interval invariant invariant mass law of gravitation length Lorentz transformation mass material mathematical matter measure measure-numbers mechanical momentum motion observer obtain origin parallel displacement particle physical quantities possible potential propagation properties quadric radius of curvature recognised rectangular coordinates region relation relative represent result Riemannian geometry rotating Sitter's solution space-time spherical stationary symmetrical system of coordinates tensor-density theory transformation values vanish variations velocity of light volume Weyl's