Tensors, Relativity, and Cosmology,
Edition 1Editors: By Mirjana Dalarsson, MSc – Engineering Physics 1984 Licentiate – Engineering Physics 1989, Nils Dalarsson, MSc – Engineering Physics 1982 Licentiate (Swedish degree between MSc and PhD) – Theoretical Physics 1990 PhD – Theoretical Physics 1993 MBA – Mathematical Finance 1998 MSc – Education 2012 and Mirjana Dalarsson, MSc – Engineering Physics 1984 Licentiate – Engineering Physics 1989
Publication Date:
21 Mar 2005
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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
* 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 resultsAbout the author
By Mirjana Dalarsson, MSc – Engineering Physics 1984 Licentiate – Engineering Physics 1989, Ericsson Research and Development, Stockholm, Sweden; Nils Dalarsson, MSc – Engineering Physics 1982 Licentiate (Swedish degree between MSc and PhD) – Theoretical Physics 1990 PhD – Theoretical Physics 1993 MBA – Mathematical Finance 1998 MSc – Education 2012 , Royal Institute of Technology, Department of Theoretical Physics, Stockholm, Sweden and Mirjana Dalarsson, MSc – Engineering Physics 1984 Licentiate – Engineering Physics 1989, Ericsson Research and Development, Stockholm, Sweden
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
ISBN:
9780122006814
Page Count:
320
Retail Price (USD)
:
Dodelson: MODERN COSMOLOGY, Academic Press (2003, Hardback, 440 pp, ISBN: 0122191412) $70.00
Raychaudhuri: GENERAL RELATIVITY, ASTROPHYSICS, AND COSMOLOGY, Springer (2003, Paperback, 312 pp, ISBN: 038740628X) $49.95
Raychaudhuri: GENERAL RELATIVITY, ASTROPHYSICS, AND COSMOLOGY, Springer (2003, Paperback, 312 pp, ISBN: 038740628X) $49.95
Upper undergraduate and graduate students in physics and cosmology.