内容简介:
《中外物理学精品书系·引进系列·引力:基础与前沿(影印版)》内容丰富,涵盖面广,可读性强,其中既有对我国传统物理学发展的梳理和总结,也有对正在蓬勃发展的物理学前沿的全面展示;既引进和介绍了世界物理学研究的发展动态,也面向国际主流领域传播中国物理的优秀专著。
目录:
List of exercises
List of projects
Preface
How to use this book
1 Special relativity
1.1 Introduction
1.2 The principles of special relativity
1.3 Transformation of coordinates and velocities
1.3.1 Lorentz transformation
1.3.2 Transformation of velocities
1.3.3 Lorentz boost in an arbitrary direction
1.4 Four-vectors
1.4.1 Four-velocity and acceleration
1.5 Tensors
1.6 Tensors as geometrical objects
1.7 Volume and surface integrals in four dimensions
1.8 Particle dynamics
1.9 The distribution function and its moments
1.10 The Lorentz group and Pauli matrices
2 Scalar and electromagnetic fields in special relativity
2.1 Introduction
2.2 External fields of force
2.3 Classical scalar field
2.3.1 Dynamics of a particle interacting with a scalar field
2.3.2 Action and dynamics of the scalar field
2.3.3 Energy-momentum tensor for the scalar field
2.3.4 Free field and the wave solutions
2.3.5 Why does the scalar field lead to an attractive force?
2.4 Electro magnetic field
2.4.1 Charged particle in an electromagnetic field
2.4.2 Lorentz transformation of electric and magnetic fields
2.4.3 Current vector
2.5 Motion in the Coulomb field
2.6 Motion in a constant electric field
2.7 Action principle for the vector field
2.8 Maxwell's equations
2.9 Energy and momentum of the electromagnetic field
2.10 Radiation from an accelerated charge
2.11 Larmor formula and radiation reaction
3 Gravity and spacetime geometry: the inescapable connection
3.1 Introduction
3.2 Field theoretic approaches to gravity
3.3 Gravity as a scalar field
3.4 Second rank tensor theory of gravity
3.5 The principle of equivalence and the geometrical description of ravity
3.5.1 Uniformly accelerated observer
3.5.2 Gravity and the fiow of time
4 Metric tensor, geodesics and covariant derivative
4.1 Introduction
4.2 Metric tensor and gravity
4.3 Tensor algebra in curved spacetime
4.4 Volume and surface integrals
4.5 Geodesic curves
4.5.1 Properties of geodesic curves
4.5.2 Affine parameter and null geodesics
4.6 Covariant derivative
4.6.1 Geometrical interpretation of the covariant derivative
4.6.2 Manipulation of covariant derivatives
4.7 Parallel transport
4.8 Lie transport and Killing vectors
4.9 Fermi-Walker transport
5 Curvature of spacetime
5.1 Introduction
5.2 Three perspectives on the spacetime curvature
5.2.1 Parallel transport around a closed curve
5.2.2 Non-commutativity of covariant derivatives
……
6 Einstein's field equations and gravitational dynamics
7 Spherically symmetric geometry
8 Black holes
9 Gravitational waves
10 RelatMstic cosmology
11 Differential forms and exterior calculus
12 Hamiltonian structure of general relativity
13 Evolution of cosmological perturbations
14 Quantum field theory in curved spacetime
15 Gravity in higher and lower dimensions
16 Gravity as an emergent phenomenon
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