Lavoisier S.A.S.
14 rue de Provigny
94236 Cachan cedex
FRANCE

Heures d'ouverture 08h30-12h30/13h30-17h30
Tél.: +33 (0)1 47 40 67 00
Fax: +33 (0)1 47 40 67 02


Url canonique : www.lavoisier.fr/livre/autre/tensors-relativity-and-cosmology/descriptif_3777335
Url courte ou permalien : www.lavoisier.fr/livre/notice.asp?ouvrage=3777335

Tensors, Relativity, and Cosmology (2nd Ed.)

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Tensors, Relativity, and Cosmology

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
Graduate students in physics, cosmology, biological physics, and engineering taking courses in modern physics, theory of relativity, and electrodynamics; Researchers in academia and industry in physics, cosmology, biological physics, and engineering.
Mirjana Dalarsson is affiliated with the Research and Development program at Ericsson Corporation. She holds a Licentiate degree in Engineering Physics and has more than 25 years of research and teaching experience. Former affiliations in the academic and private sector include the Royal Institute of Technology, Belgrade University, Uppsala University, and ABB Corporation.
Nils Dalarsson has been with the Royal Institute of Technology, Department of Theoretical Physics in Stockholm, Sweden, since 1999. His research and teaching experience spans 32 years. Former academic and private sector affiliations include University of Virginia, Uppsala University, FSB Corporation, France Telecom Corporation, Ericsson Corporation, and ABB Corporation. He holds a PhD in Theoretical Physics, an MSc in Engineering Physics, and an MSc in Education.
  • Clearly combines relativity, astrophysics, and cosmology in a single volume
  • Extensive introductions to each section are followed by relevant examples and numerous exercises
  • Presents topics of interest to those researching and studying tensor calculus, the theory of relativity, gravitation, cosmology, quantum cosmology, Robertson-Walker Metrics, curvature tensors, kinematics, black holes, and more
  • Fully revised and updated with 80 pages of new material on relativistic effects, such as relativity of simultaneity and relativity of the concept of distance, amongst other topics
  • Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

Ces ouvrages sont susceptibles de vous intéresser