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. |
Contents
Computeraided classification of geometries in general relativity | 1 |
The gravitational field of the electromagnetic packet | 9 |
A Barnes | 15 |
Barrow | 25 |
The complete mixmaster dynamical system | 31 |
W Boucher | 43 |
P Dolan | 53 |
Applications | 59 |
J N Islam | 131 |
Ernsts form of Einsteins equations | 138 |
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 |
The A0 case | 62 |
55 | 72 |
Construction of coordinate and tetrad system | 80 |
Consequences of periodicity | 87 |
J N Goldberg | 95 |
G S Hall | 103 |
Spacetimes of given curvature | 109 |
Spacetimes of given sectional curvature | 115 |
Exact solutions for rotating charged dust | 121 |
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
2-spaces algebraic appear asymptotically become Bianchi identities bracket calculations Cambridge choice complex components conformal consider constant constraint coordinate corresponding curvature defined definition depend derivatives determined differential direction discussed eigenvalue Einstein energy evolution example exists expressions fact field equations flat follows function future gauge geodesic give given gravitational hypersurface identities independent infinity initial integral interesting invariant Killing vector limit manifold mass Math Mathematics means method metric natural Newtonian null numerical obtained Petrov type Phys physical possible problem radiation REDUCE References relativistic relativity respectively result Ricci rotating satisfy simple singularity solution space space-time structure surface symmetric tetrad theorem theory tion transformations University vacuum variables vector field waves Weyl tensor zero μν