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Exact Solutions of Einstein's Field Equations

By: Dietrich Kramer, Hans Stephani, M. A. H. MacCallum, Eduard Herlt, Cornelius Hoenselaers
Exact Solutions of Einstein's Field Equations
Retail Price: $160.00
Booktopia Price $140.80
ISBN: 9780521467025
Format: Paperback
Published: September 2009

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1. Introduction; Part I. General Methods: 2. Differential geometry without a metric; 3. Some topics in Riemannian geometry; 4. The Petrov classification; 5. Classification of the Ricci tensor; 6. Vector fields; 7. The Newman-Penrose and related formalisms; 8. Continuous groups of transformations; 9. Invariants and the characterization of geometries; 10. Generation techniques; Part II. Solutions with Groups of Motions: 11. Classification of solutions with isometries or homotheties; 12. Homogeneous space-times; 13. Hypersurface-homogeneous space-times; 14. Spatially-homogeneous perfect fluid cosmologies; 15. Groups G3 on non-null orbits V2; 16. Spherical symmetric perfect fluid solutions; 17. Groups G2 and G1 on non-null orbits; 18. Stationary gravitational fields; 19. Stationary axisymmetric fields: basic concepts; 20. Stationary axisymmetric vacuum solutions; 21. Non-empty stationary axisymmetric solutions; 22. Groups G2I on spacelike orbits I: Cylindrical symmetry; 23. Inhomogeneous fluid solutions with symmetry; 24. Groups on null orbits. Plane waves; 25. Collision of plane waves; Part III. Algebraically Special Solutions: 26. The various classes of algebraically special solutions; 27. The line element for k=s=0, Q+iw�0; 28. Robinson-Trautman solutions; 29. Twisting vacuum solutions; 30. Twisting Einstein-Maxwell and pure radiation fields; 31. Non-diverging solutions (Kundt's class); 32. Kerr-Schild metrics; 33. Algebraically special perfect fluid solutions; Part IV. Special Methods: 34. Applications of generation techniques to General Relativity; 35. Special vector and tensor fields; 36. Solutions with special subspaces; 37. Embedding of four-dimensional Riemannian manifolds; Part V. Tables: 38. Introduction; References.

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