Tensors, Relativity, and Cosmology

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Academic Press, Jul 8, 2015 - Science - 276 pages

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
 

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Contents

Introduction
1
Tensor Algebra
3
Tensor Analysis
53
Special Theory of Relativity
93
General Theory of Relativity
145
Elements of Cosmology
211
Bibliography
255
Index
257
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About the author (2015)

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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