Tensor Calculus, Relativity, and Cosmology: A First Course

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Gulf Professional Publishing, 2005 - Science - 280 pages
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This book combines relativity, astrophysics, and cosmology in a single volume, providing an introduction to each subject that enables students to understand more detailed treatises as well as the current literature. The section on general relativity 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, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The next section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects. Lastly, the section on cosmology discusses various cosmological models, observational tests, and scenarios for the early universe.

* Clearly combines relativity, astrophysics, and cosmology in a single volume so students can understand more detailed treatises and current literature

* Extensive introductions to each section are followed by relevant examples and numerous exercises

* 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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All the Math You Need for GR

User Review  - akiranick - Overstock.com

In a remarkably clear and concise manner this book manages to introduce the notations that are commonly used demonstrate how a physical system can be represented using the new formalisms outline the ... Read full review

Contents

Introduction
1
Vector Spaces
15
Definitions of Tensors
23
Relative Tensors
33
The Metric Tensor
43
Tensors as Linear Operators
55
Tensor Derivatives
61
ChristofFel Symbols
71
Electromagnetic Fields
135
Electromagnetic Field Equations
147
Gravitational Fields
165
Gravitational Field Equations
177
Solutions of Field Equations
193
Applications of the Schwarzschild Metric
207
The RobertsonWalker Metric
225
Cosmic Dynamics
239

Differential Operators
79
Geodesic Lines
89
The Curvature Tensor
97
Relativistic Kinematics
111
Relativistic Dynamics
123
Nonstatic Models of the Universe
253
Quantum Cosmology
265
Bibliograhy
275
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About the author (2005)

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.

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.

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