Tensors, Relativity, And Cosmology by Mirjana DalarssonTensors, Relativity, And Cosmology by Mirjana Dalarsson

Tensors, Relativity, And Cosmology

byMirjana Dalarsson, Nils DalarssonEditorMirjana Dalarsson

Paperback | July 7, 2015

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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.

  • 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
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, Up...
Title:Tensors, Relativity, And CosmologyFormat:PaperbackDimensions:276 pages, 8.75 × 6.35 × 0.68 inPublished:July 7, 2015Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128033975

ISBN - 13:9780128033975

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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