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By Mirjana Dalarsson, Royal Institute of Technology, Sweden Nils Dalarsson, Royal Institute of Technology, Sweden
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.
Audience
Upper undergraduate and graduate students in physics and cosmology.
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
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