An Introduction to General Relativity: London Mathematical Society Student Texts, cartea 5
Autor L. P. Hughston, K. P. Toden Limba Engleză Paperback – 24 ian 1991
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Specificații
ISBN-13: 9780521339438
ISBN-10: 052133943X
Pagini: 192
Ilustrații: 32 b/w illus.
Dimensiuni: 153 x 230 x 14 mm
Greutate: 0.32 kg
Ediția:0002
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:Cambridge, United Kingdom
ISBN-10: 052133943X
Pagini: 192
Ilustrații: 32 b/w illus.
Dimensiuni: 153 x 230 x 14 mm
Greutate: 0.32 kg
Ediția:0002
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:Cambridge, United Kingdom
Cuprins
Preface; 1. Introduction; 2. Vectors and tensors in flat three-space; 3. Aspects of special relativistic geometry; 4. Tensor analysis on manifolds; 5. Covariant differentiation; 6. Properties of the Riemann tensor; 7. Riemannian geometry; 8. The Lie derivative; 9. Geodesics; 10. Geodesic deviation; 11. Differential forms; 12. The transition from Newtonian theory; 13. Einstein's field equations; 14. The slow motion approximation; 15. The Schwarzschild solution; 16. Gravitational red-shift and time dilation; 17. The geodesic equation for the Schwarzschild solution; 18. Classical tests; 19. The extended Schwarzschild solution; 20. Black holes and gravitational collapse; 21. Interior solutions; 22. The Kerr solution; 23. Homogeneous and isotropic three-spaces; 24. Cosmology: kinematics; 25. Cosmology: dynamics; 25. Anisotropic cosmologies; Index.
Recenzii
"...the authors guide the novice along a careful, well-planned route that provides a pleasing balance between the demands of the mathematics and those of the physics." Mathematical Reviews
"...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University
"...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University