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Exact Solutions of Einstein's Field Equations

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Informationen zum Autor Hans Stephani gained his diploma! Ph.D. and Habilitation at the Friedrich-Schiller-Universitat Jena. He be... Lire la suite
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Description

Informationen zum Autor Hans Stephani gained his diploma! Ph.D. and Habilitation at the Friedrich-Schiller-Universitat Jena. He became Professor of Theoretical Physics in 1992! before retiring in 2000. He has been lecturing in theoretical physics since 1964 and has published numerous papers and articles on relativity and optics. He is also the author of four books. Dietrich Kramer is Professor of Theoretical Physics at the Friedrich-Schiller-Universitat Jena. He graduated from this university! where he also finished his Ph.D. (1966) and Habilitation (1970). His current research concerns classical relativity. The majority of his publications are devoted to exact solutions in general relativity. Malcolm MacCallum is Professor of Applied Mathematics at the School of Mathematical Sciences! Queen Mary! University of London! where he is also Vice-Principal for Science and Engineering. He graduated from King's College! Cambridge and went on to complete his M.A. and Ph.D. there. His research covers general relativity and computer algebra! especially tensor manipulators and differential equations. He has published over 100 pages! review articles and books. Cornelius Hoenselaers gained his Diploma at Technische Universitat Karlsruhe! his D.Sc. at Hiroshima Daigaku and his Habilitation at Ludwig-Maximilian Universitat Munchen. He is Reader in Relativity Theory at Loughborough University. He has specialized in exact solutions in general relativity and other non-linear partial differential equations! and published a large number of papers! review articles and books. Eduard Herlt is wissenschaftlicher Mitarbeiter at the Theoretisch Physikalisches Institut der Friedrich-Schiller-Universitat Jena. Having studied physics as an undergraduate at Jena! he went on to complete his Ph.D. there as well as his Habilitation. He has had numerous publications including one previous book. Klappentext A paperback edition of a classic text! this book contains six new chapters! covering generation methods and their application! colliding waves! classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity! theoretical physics! astrophysics and mathematics. Zusammenfassung A paperback edition of a classic text! this book contains six new chapters! covering generation methods and their application! colliding waves! classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity! theoretical physics! astrophysics and mathematics. Inhaltsverzeichnis Preface; List of tables; Notation; 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 and the energy-movement tensor; 6. Vector fields; 7. The Newman-Penrose and related formalisms; 8. Continuous groups of transformations; isometry and homothety groups; 9. Invariants and the characterization of geometrics; 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. Spherical and plane symmetry; 16. Spherically-symmetric perfect fluid solutions; 17. Groups G2 and G1 on non-null orbits; 18. Stationary gravitational fields; 19. Stationary axisymmetric fields: basic concepts and field equations; 20. Stationary axisymmetiric vacuum solutions; 21. Non-empty stationary axisymmetric solutions; 22. Groups G2I on spacelike orbits: cylindrical symmetry; 23. Inhomogeneous perfect fluid solutions with symmetry; 24. Groups on null orbits. Plane waves; 25. Collision of plane waves; Part III. Algebr...

Auteur

Hans Stephani gained his diploma, Ph.D. and Habilitation at the Friedrich-Schiller-Universitat Jena. He became Professor of Theoretical Physics in 1992, before retiring in 2000. He has been lecturing in theoretical physics since 1964 and has published numerous papers and articles on relativity and optics. He is also the author of four books. Dietrich Kramer is Professor of Theoretical Physics at the Friedrich-Schiller-Universitat Jena. He graduated from this university, where he also finished his Ph.D. (1966) and Habilitation (1970). His current research concerns classical relativity. The majority of his publications are devoted to exact solutions in general relativity. Malcolm MacCallum is Professor of Applied Mathematics at the School of Mathematical Sciences, Queen Mary, University of London, where he is also Vice-Principal for Science and Engineering. He graduated from King's College, Cambridge and went on to complete his M.A. and Ph.D. there. His research covers general relativity and computer algebra, especially tensor manipulators and differential equations. He has published over 100 pages, review articles and books. Cornelius Hoenselaers gained his Diploma at Technische Universitat Karlsruhe, his D.Sc. at Hiroshima Daigaku and his Habilitation at Ludwig-Maximilian Universitat Munchen. He is Reader in Relativity Theory at Loughborough University. He has specialized in exact solutions in general relativity and other non-linear partial differential equations, and published a large number of papers, review articles and books. Eduard Herlt is wissenschaftlicher Mitarbeiter at the Theoretisch Physikalisches Institut der Friedrich-Schiller-Universitat Jena. Having studied physics as an undergraduate at Jena, he went on to complete his Ph.D. there as well as his Habilitation. He has had numerous publications including one previous book.



Texte du rabat

A paperback edition of a classic text, this book contains six new chapters, covering generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.



Contenu

Preface; List of tables; Notation; 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 and the energy-movement tensor; 6. Vector fields; 7. The Newman-Penrose and related formalisms; 8. Continuous groups of transformations; isometry and homothety groups; 9. Invariants and the characterization of geometrics; 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. Spherical and plane symmetry; 16. Spherically-symmetric perfect fluid solutions; 17. Groups G2 and G1 on non-null orbits; 18. Stationary gravitational fields; 19. Stationary axisymmetric fields: basic concepts and field equations; 20. Stationary axisymmetiric vacuum solutions; 21. Non-empty stationary axisymmetric solutions; 22. Groups G2I on spacelike orbits: cylindrical symmetry; 23. Inhomogeneous perfect 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. Some algebraically general solutions; 27. The line element for metrics with kappa=sigma=0=R11=R14=R44, THETA+iomega 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. Local isometric embedding of four-dimensional Riemannian manifolds; Part V. Tables: 38. The interconnections between the main classification schemes; References; Index.

Informations sur le produit

Titre: Exact Solutions of Einstein's Field Equations
Auteur:
Code EAN: 9780521467025
ISBN: 0521467020
Format: Couverture cartonnée
Editeur: Cambridge University Press
nombre de pages: 732
Poids: 1240g
Taille: H244mm x B170mm x T38mm
Année: 2015
Auflage: 2., überarb. Aufl.