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Tensors, Relativity, and Cosmology
A fully updated, revised, and easy-to-understand book that combines relativity, astrophysics, and cosmology in a single volume
Mirjana Dalarsson (Author), Nils Dalarsson (Author)
9780128033975, Elsevier Science
Paperback, published 29 June 2015
276 pages
23.4 x 19 x 1.8 cm, 0.59 kg
Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects, with a final section on cosmology discussing cosmological models, observational tests, and scenarios for the early universe. This fully revised and updated second edition includes new material on relativistic effects, such as the behavior of clocks and measuring rods in motion, relativistic addition of velocities, and the twin paradox, as well as new material on gravitational waves, amongst other topics.
1. IntroductionPart I: Tensor Algebra2. Notation and Systems of Numbers3. Vector Spaces4. Definitions of Tensors5. Relative Tensors6. The Metric Tensor7. Tensors as Linear OperatorsPart II: Tensor Analysis8. Tensor Derivatives9. Christoffel Symbols10. Differential Operators11. Geodesic Lines12. The Curvature TensorPart III: Special Theory of Relativity13. Relativistic Kinematics14. Relativistic Phenomena15. Relativistic Dynamics16. Electromagnetic Fields17. Electromagnetic Field EquationsPart IV: General Theory of Relativity18. Gravitational Fields19. Gravitational Field Equations20. Solutions of Field Equations21. Applications of Schwarzschild Metric22. Gravitational WavesPart V: Elements of Cosmology23. The Robertson-Walker Metric24. The Cosmic Dynamics25. Non-static Models of the Universe26. The Quantum CosmologyBibliographyIndex
Subject Areas: Relativity physics [PHR], Physics [PH], Cosmology & the universe [PGK]
