Tensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology

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Description

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.
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Product details

  • Paperback | 276 pages
  • 184.15 x 228.6 x 19.05mm | 589.67g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 2nd edition
  • 0128033975
  • 9780128033975
  • 1,150,256

Table of contents

1. Introduction
Part I: Tensor Algebra
2. Notation and Systems of Numbers
3. Vector Spaces
4. Definitions of Tensors
5. Relative Tensors
6. The Metric Tensor
7. Tensors as Linear Operators
Part II: Tensor Analysis
8. Tensor Derivatives
9. Christoffel Symbols
10. Differential Operators
11. Geodesic Lines
12. The Curvature Tensor
Part III: Special Theory of Relativity
13. Relativistic Kinematics
14. Relativistic Phenomena
15. Relativistic Dynamics
16. Electromagnetic Fields
17. Electromagnetic Field Equations
Part IV: General Theory of Relativity
18. Gravitational Fields
19. Gravitational Field Equations
20. Solutions of Field Equations
21. Applications of Schwarzschild Metric
22. Gravitational Waves
Part V: Elements of Cosmology
23. The Robertson-Walker Metric
24. The Cosmic Dynamics
25. Non-static Models of the Universe
26. The Quantum Cosmology
Bibliography
Index
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About Nils Dalarsson

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.
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