Tensors, Relativity, and Cosmology
- 1st Edition - March 21, 2005
- Authors: Nils Dalarsson, Mirjana Dalarsson
- Language: English
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… Read more
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Description
Description
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.
Key features
Key features
* 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
* 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
Readership
Readership
Upper undergraduate and graduate students in physics and cosmology.
Table of contents
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 Dynamics
15 Electromagnetic Fields
16 Electromagnetic Field Equations
Part IV. GENERAL THEORY OF RELATIVITY
17 Gravitational Fields
18 Gravitational Field Equations
19 Solutions of Field Equations
20 Applications of Schwarzschild Metric
Part V ELEMENTS OF COSMOLOGY
21 The Robertson-Walker Metric
22 The Cosmic Dynamics
23 Non-static Models of the Universe
24 The Quantum Cosmology
Bibliography
Index
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 Dynamics
15 Electromagnetic Fields
16 Electromagnetic Field Equations
Part IV. GENERAL THEORY OF RELATIVITY
17 Gravitational Fields
18 Gravitational Field Equations
19 Solutions of Field Equations
20 Applications of Schwarzschild Metric
Part V ELEMENTS OF COSMOLOGY
21 The Robertson-Walker Metric
22 The Cosmic Dynamics
23 Non-static Models of the Universe
24 The Quantum Cosmology
Bibliography
Index
Review quotes
Review quotes
"…it’s absolutely perfect if you need help with the mathematical aspects of relativity…Many notions from tensor algebra and differential geometry are introduced and explained very clearly, and the main essential formulas are all presented in details."—BookInspections.com, May 27, 2013
Product details
Product details
- Edition: 1
- Published: March 21, 2005
- Language: English
About the authors
About the authors
ND
Nils Dalarsson
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.
Affiliations and expertise
Royal Institute of Technology, Department of Theoretical Physics, Stockholm, SwedenMD
Mirjana 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.
Affiliations and expertise
Ericsson Research and Development, Stockholm, Sweden