## Classical Fields: General Relativity and Gauge Theory |

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#### LibraryThing Review

User Review - ojodelince - LibraryThingAlthough this book concerns some of the most difficult topics in modern mathematics, it is easy to read; indeed, a pleasure to read in the early chapters. The terms are clearly and logically explained ... Read full review

### Contents

The Gravitational Field | 1 |

The Geometry of Curved Spacetime | 20 |

Definition of a tensor density LeviCivita tensor densities Problems | 45 |

Copyright | |

21 other sections not shown

### Common terms and phrases

approximation arbitrary assume Bianchi identities body calculate called chapter complex components condition conformal consider constant contravariant coordinate system corresponding curvature defined denoted density derivative described determined differential directions discussed eigenvalues electromagnetic field electromagnetic potential element energy energy-momentum tensor equal equations of motion expression fact field equations Finally formula four function gauge fields geodesic given by Eq gives gravitational field Hence identities independent indices integral introduced invariant Lagrangian latter leads linear Lorentz mass matrix Maxwell means method metric tensor momentum namely null null vectors obtain physical potential presented Problem properties quantities radiation relativity respectively result Ricci Riemann rotation satisfies scalar Schwarzschild Section Show solution space spacetime spherical spinor symmetric tetrad theory transformation values vanish variables vector wave Weyl whereas written Yang-Mills zero