## General Relativity; an Einstein Centenary Survey |

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### Contents

An introductory survey | 1 |

The confrontation between gravitation theory | 24 |

Gravitationalradiation experiments | 90 |

The initial value problem and the dynamical formulation | 138 |

Global structure of spacetimes | 212 |

The general theory of the mechanical electromagnetic | 294 |

Black hole astrophysics | 454 |

The big bang cosmology enigmas and nostrums | 504 |

Anisotropic and inhomogeneous relativistic cosmologies | 533 |

Singularities and timeasymmetry | 581 |

Quantum field theory in curved spacetime | 639 |

the new synthesis | 680 |

The pathintegral approach to quantum gravity | 746 |

Ultraviolet divergences in quantum theories of gravitation | 790 |

833 | |

903 | |

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### Common terms and phrases

accretion amplitude asymptotic safety asymptotically flat baryon Bianchi big bang binary black hole boundary conditions Cauchy horizon Cauchy surface causal classical closed timelike curves coefficients collapse compact consider constant coordinates cosmic censorship cosmological coupling covariant curvature defined density derivatives detector dimensional discussed effect Einstein electromagnetic energy entropy example field equations field theory finite flux frequency future galaxy gauge geodesic geometry given global gravitational field gravitational radiation graviton Green's function Hawking horizon hypersurface infinity initial integral interactions invariant Kerr Kerr metric Killing vector Lagrangian limit linear Lorentz metric manifold mass matter Minkowski spacetime models neutron star normal null observed obtain orbit parameters particles perturbation photons physical potential problem pulsar quantum region relativity renormalizable renormalization rotation satisfy scalar Schwarzschild singularity slice solution space spacelike symmetry tensor theorem thermal timelike curve topology universe vacuum vanish vector field velocity white hole zero