## Classical General Relativity: Proceedings of the Conference on Classical (Non-Quantum) General Relativity, City University, London, 21-22 December 1983W. B. Bonnor, Jamal Nazrul Islam, Malcolm A. H. MacCallum This volume is made up of papers presented at the Conference on Classical General Relativity held at the City University, London, in December 1983. New tests, arising from space experimentation, pulsars and black holes have revitalised the study of Einstein's theory of gravitation (classical general relativity). Nineteen contributors survey recent progress and identify future avenues of research. |

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### Contents

J E Aman | 1 |

The electromagnetic wave packet | 7 |

A Barnes | 15 |

Barrow | 25 |

The complete mixmaster dynamical system | 31 |

W Boucher | 43 |

A generalization of the Lie derivative | 53 |

Applications | 59 |

Einsteins equations | 134 |

The TomimatsuSato solutions | 141 |

Algebraic computing in general relativity | 145 |

What can computer algebra do in relativity? | 151 |

Available systems | 162 |

McCrea | 170 |

A stationary axially symmetric solution | 176 |

B G Mcintosh | 183 |

Generalized RobertsonWalker metrics | 65 |

Discussion | 73 |

Construction of coordinate and tetrad system | 80 |

Consequences of periodicity on J | 87 |

J N Goldberg | 95 |

G S Hall | 103 |

Spacetimes of given curvature | 109 |

Spacetimes of given sectional curvature | 115 |

J N Islam | 121 |

Cylindrically symmetric rigid rotation in general relativity | 128 |

Discussion | 191 |

Persistent curvature | 197 |

The Censorship theorem | 204 |

Large amplitude waves | 215 |

Stewart | 231 |

The Cauchy problem | 237 |

The characteristic initial value problem | 246 |

Charged rotating dust in general relativity | 263 |

### Common terms and phrases

algebraic computing Aman asymptotically flat Bianchi identities black hole Bondi Bondi mass Bonnor calculations Cambridge Cauchy Cauchy surface components computer algebra conformally flat constraint equations cosmic censorship cosmological constant curvature tensor d'Inverno defined Department of Mathematics derivatives dual pair eigenvalue eigenvectors Einstein equations electromagnetic evolution exact solutions field equations follows function g and g gauge given Grav gravitational field gravitational radiation gravitational waves GRW metrics hypersurface initial data invariant Islam Karlhede Killing tensors Killing vector Lett Lie derivative linearized theory Lorentz MacCallum MACSYMA manifold Math metric g Mixmaster Newman non-zero null geodesic null infinity numerical orthogonal paper Penrose perturbation Petrov type Phys physical Piran problem Proc relativistic relativity result Ricci tensor Riemann tensor satisfy scalar Schutz Segre type singularity Smarr solutions of Einstein's space space-time spacelike theorem timelike tion transformations University vacuum variables vector field Weyl tensor zero