引力
目 录内容简介
Preface
PART I SPACE AND TIME IN NEWTONIAN PHYSICS AND SPECIAL RELATIVITY
1 Gravitational Physics
2 Geometry as Physics
2.1 Gravity Is Geometry
2.2 Experiments in Geometry
2.3 Different Geometries
2.4 Specifying Geometry
2.5 Coordinates and Line Element
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PART I SPACE AND TIME IN NEWTONIAN PHYSICS AND SPECIAL RELATIVITY
1 Gravitational Physics
2 Geometry as Physics
2.1 Gravity Is Geometry
2.2 Experiments in Geometry
2.3 Different Geometries
2.4 Specifying Geometry
2.5 Coordinates and Line Element
查看完整
目 录内容简介
Einstein的广义相对论是现代物理的基石。它包括了大量讲述时空的前沿话题，黑洞、重力波以及宇宙学。随着广义相对论越来越成为同时代物理和天文学的中心，其在本科教育中的地位也显得尤为重要。这本全新的教材很适合本科生作为了解该课程的基础理论。物理优先、数学理论尽可能少、大量的应用实例，作者为物理学家和对该学科感兴趣的读者自然顺畅的讲述了这门学科。
读者对象：《引力》适用于物理专业的本科生，研究生以及对该学科感兴趣的广大读者。
目次：（第一部分）牛顿物理和狭义相对论中的时空：引力物理；几何作为物理；牛顿物理中的空间；时间和引力；狭义相对论原理；狭义相对论力学； （第二部分）广义相对论的弯曲时空：引力作为几何；弯曲时空的描述；测地线；球形星体外的几何；广义相对论的太阳系检验；实用相对论引力；引力坍缩和黑洞；天体物理学黑洞；微小转动；旋转黑洞；引力波；宇宙观察；宇宙学模型；什么是宇宙以及为什么；（第三部分）Einstein方程：数学部分；曲率和E…
查看完整
读者对象：《引力》适用于物理专业的本科生，研究生以及对该学科感兴趣的广大读者。
目次：（第一部分）牛顿物理和狭义相对论中的时空：引力物理；几何作为物理；牛顿物理中的空间；时间和引力；狭义相对论原理；狭义相对论力学； （第二部分）广义相对论的弯曲时空：引力作为几何；弯曲时空的描述；测地线；球形星体外的几何；广义相对论的太阳系检验；实用相对论引力；引力坍缩和黑洞；天体物理学黑洞；微小转动；旋转黑洞；引力波；宇宙观察；宇宙学模型；什么是宇宙以及为什么；（第三部分）Einstein方程：数学部分；曲率和E…
查看完整
目 录内容简介
Preface
PART I SPACE AND TIME IN NEWTONIAN PHYSICS AND SPECIAL RELATIVITY
1 Gravitational Physics
2 Geometry as Physics
2.1 Gravity Is Geometry
2.2 Experiments in Geometry
2.3 Different Geometries
2.4 Specifying Geometry
2.5 Coordinates and Line Element
2.6 Coordinates and Invariance
3 Space， Time， and Gravity in Newtonian Physics
3.1 Inertial Frames
3.2 The Principle of Relativity
3.3 Newtonian Gravity
3.4 Gravitational and Inertial Mass
3.5 Variational Principle for Newtonian Mechanics
4 Principles of Special Relativity
4.1 The Addition of Velocities and the Michelson-Morley Experiment
4.2 Einsteins Resolution and Its Consequences
4.3 Spacetime
4.4 Time Dilation and the Twin Paradox
4.5 Lorentz Boosts
4.6 Units
5 Special Relativistic Mechanics
5.1 Four-Vectors
5.2 Special Relativistic Kinematics
5.3 Special Relativistic Dynamics
5.4 Variational Principle for Free Particle Motion
5.5 Light Rays
5.6 Observers and Observations
PART Ⅱ THE CURVED SPACETIMES OF GENERAL RELATIVITY
6 Gravity as Geometry
6.1 Testing the Equality of Gravitational and Inertial Mass
6.2 The Equivalence Principle
6.3 Clocks in a Gravitational Field
6.4 The Global Positioning System
6.5 Spacetime Is Curved
6.6 Newtonian Gravity in Spacetime Terms
7 The Description of Curved Spacetime
7.1 Coordinates
7.2 Metric
7.3 The Summation Convention
7.4 Local Inertial Frames
7.5 Light Cones and World Lines
7.6 Length， Area， Volume， and Four-Volume for Diagon Metrics
7.7 Embedding Diagrams and Wormholes
7.8 Vectors in Curved Spacetime
7.9 Three-Dimensional Surfaces in Four-Dimensional Spacetime
8 Geodesics
8.1 The Geodesic Equation
8.2 Solving the Geodesic Equation——-Symmetries and Conservation Laws
8.3 Null Geodesics
8.4 Local Inertial Frames and Freely Falling Frames
9 The Geometry Outside a Spherical Star
9.1 Schwarzschild Geometry
9.2 The Gravitational Redshift
9.3 Particle Orbits——Precession of the Perihelion
9.4 Light Ray Orbits——The Deflection and Time Delay of Light
10 Solar System Tests of General Relativity
10.1 Gravitational Redshift
10.2 PPN Parameters
10.3 Measurements of the PPN Parametery
10.4 Measurement of the PPN Parameter B-Precession of Mercurys Perihelion
11 Relativistic Gravity in Action
11.1 Gravitational Lensing
11.2 Accretion Disks Around Compact Objects
11.3 Binary Pulsars
12 Gravitational Collapse and Black Holes
12.1 The Schwarzschild Black Hole
12.2 Collapse to a Black Hole
12.3 Kruskal-Szekeres Coordinates
12.4 Nonspherical Gravitational Collapse
13 Astrophysical Black Holes
13.1 Black Holes in X-Ray Binaries
13.2 Black Holes in Galaxy Centers
13.3 Quantum Evaporation of Black Holes——Hawking Radiation
14 A Little Rotation
14.1 Rotational Dragging of Inertial Frames
14.2 Gyroscopes in Curved Spacetime
14.3 Geodetic Precession
14.4 Spacetime Outside a Slowly Rotating Spherical Body
14.5 Gyroscopes in the Spacetime of a Slowly Rotating Body
14.6 Gyros and Freely Falling Frames
15 Rotating Black Holes
15.1 Cosmic Censorship
15.2 The Kerr Geometry
15.3 The Horizon of a Rotating Black Hole
15.4 Orbits in the Equatorial Plane
15.5 The Ergosphere
16 Gravitational Waves
16.1 A Linearized Gravitational Wave
16.2 Detecting Gravitational Waves
16.3 Gravitational Wave Polarization
16.4 Gravitational Wave Interferometers
16.5 The Energy in Gravitational Waves
17 The Universe Observed
17.1 The Composition of the Universe
17.2 The Expanding Universe
17.3 Mapping the Universe
18 Cosmological Models
18.1 Homogeneous， Isotropic Spacetimes
18.2 The Cosmological Redshift
18.3 Matter， Radiation， and Vacuum
18.4 Evolution of the Flat FRW Models
18.5 The Big Bang and Age and Size of the Universe
18.6 Spatially Curved Robertson-Walker Metrics
18.7 Dynamics of the Universe
19 Which Universe and Why？
19.1 Surveying the Universe
19.2 Explaining the Universe
PART III THE EINSTEIN EQUATION
20 A Little More Math
20.1 Vectors
20.2 Dual Vectors
20.3 Tensors
20.4 The Covariant Derivative
20.5 Freely Falling Frames Again
21 Curvature and the Einstein Equation
21.1 Tidal Gravitational Forces
21.2 Equation of Geodesic Deviation
21.3 Riemann Curvature
21.4 The Einstein Equation in Vacuum
21.5 Linearized Gravity
22 The Source of Curvature
22.1 Densities
22.2 Conservation
22.2 Conservation of Energy-Momentum
22.3 The Einstein Equation
22.4 The Newtonian Limit
23 Gravitational Wave Emission
23.1 The Linearized Einstein Equation with Sources
23.2 Solving the Wave Equation with a Source
23.3 The General Solution of Linearized Gravity
23.4 Production of Weak Gravitational Waves
23.5 Gravitational Radiation from Binary Stars
23.6 The Quadrupole Formula for the Energy Loss in Gravitational Waves
23.7 Effects of Gravitational Radiation Detected in a Binary Pulsar
23.8 Strong Source Expectations
24 Relativistic Stars
24.1 The Power of the Pauli Principle
24.2 Relativistic Hydrostatic Equilibrium
24.3 Stellar Models
24.4 Matter in Its Ground State
24.5 Stability
24.6 Bounds on the Maximum Mass of Neutron Stars
APPENDIXES
A Units
A.1 Units in General
A.2 Units Employed in this Book
B Curvature Quantities
C Curvature and the Einstein Equation
D Pedagogical Strategy
D.1 Pedagogical Principles
D.2 Organization
D.3 Constructing Courses
Bibliography
Index
^ 收 起
PART I SPACE AND TIME IN NEWTONIAN PHYSICS AND SPECIAL RELATIVITY
1 Gravitational Physics
2 Geometry as Physics
2.1 Gravity Is Geometry
2.2 Experiments in Geometry
2.3 Different Geometries
2.4 Specifying Geometry
2.5 Coordinates and Line Element
2.6 Coordinates and Invariance
3 Space， Time， and Gravity in Newtonian Physics
3.1 Inertial Frames
3.2 The Principle of Relativity
3.3 Newtonian Gravity
3.4 Gravitational and Inertial Mass
3.5 Variational Principle for Newtonian Mechanics
4 Principles of Special Relativity
4.1 The Addition of Velocities and the Michelson-Morley Experiment
4.2 Einsteins Resolution and Its Consequences
4.3 Spacetime
4.4 Time Dilation and the Twin Paradox
4.5 Lorentz Boosts
4.6 Units
5 Special Relativistic Mechanics
5.1 Four-Vectors
5.2 Special Relativistic Kinematics
5.3 Special Relativistic Dynamics
5.4 Variational Principle for Free Particle Motion
5.5 Light Rays
5.6 Observers and Observations
PART Ⅱ THE CURVED SPACETIMES OF GENERAL RELATIVITY
6 Gravity as Geometry
6.1 Testing the Equality of Gravitational and Inertial Mass
6.2 The Equivalence Principle
6.3 Clocks in a Gravitational Field
6.4 The Global Positioning System
6.5 Spacetime Is Curved
6.6 Newtonian Gravity in Spacetime Terms
7 The Description of Curved Spacetime
7.1 Coordinates
7.2 Metric
7.3 The Summation Convention
7.4 Local Inertial Frames
7.5 Light Cones and World Lines
7.6 Length， Area， Volume， and Four-Volume for Diagon Metrics
7.7 Embedding Diagrams and Wormholes
7.8 Vectors in Curved Spacetime
7.9 Three-Dimensional Surfaces in Four-Dimensional Spacetime
8 Geodesics
8.1 The Geodesic Equation
8.2 Solving the Geodesic Equation——-Symmetries and Conservation Laws
8.3 Null Geodesics
8.4 Local Inertial Frames and Freely Falling Frames
9 The Geometry Outside a Spherical Star
9.1 Schwarzschild Geometry
9.2 The Gravitational Redshift
9.3 Particle Orbits——Precession of the Perihelion
9.4 Light Ray Orbits——The Deflection and Time Delay of Light
10 Solar System Tests of General Relativity
10.1 Gravitational Redshift
10.2 PPN Parameters
10.3 Measurements of the PPN Parametery
10.4 Measurement of the PPN Parameter B-Precession of Mercurys Perihelion
11 Relativistic Gravity in Action
11.1 Gravitational Lensing
11.2 Accretion Disks Around Compact Objects
11.3 Binary Pulsars
12 Gravitational Collapse and Black Holes
12.1 The Schwarzschild Black Hole
12.2 Collapse to a Black Hole
12.3 Kruskal-Szekeres Coordinates
12.4 Nonspherical Gravitational Collapse
13 Astrophysical Black Holes
13.1 Black Holes in X-Ray Binaries
13.2 Black Holes in Galaxy Centers
13.3 Quantum Evaporation of Black Holes——Hawking Radiation
14 A Little Rotation
14.1 Rotational Dragging of Inertial Frames
14.2 Gyroscopes in Curved Spacetime
14.3 Geodetic Precession
14.4 Spacetime Outside a Slowly Rotating Spherical Body
14.5 Gyroscopes in the Spacetime of a Slowly Rotating Body
14.6 Gyros and Freely Falling Frames
15 Rotating Black Holes
15.1 Cosmic Censorship
15.2 The Kerr Geometry
15.3 The Horizon of a Rotating Black Hole
15.4 Orbits in the Equatorial Plane
15.5 The Ergosphere
16 Gravitational Waves
16.1 A Linearized Gravitational Wave
16.2 Detecting Gravitational Waves
16.3 Gravitational Wave Polarization
16.4 Gravitational Wave Interferometers
16.5 The Energy in Gravitational Waves
17 The Universe Observed
17.1 The Composition of the Universe
17.2 The Expanding Universe
17.3 Mapping the Universe
18 Cosmological Models
18.1 Homogeneous， Isotropic Spacetimes
18.2 The Cosmological Redshift
18.3 Matter， Radiation， and Vacuum
18.4 Evolution of the Flat FRW Models
18.5 The Big Bang and Age and Size of the Universe
18.6 Spatially Curved Robertson-Walker Metrics
18.7 Dynamics of the Universe
19 Which Universe and Why？
19.1 Surveying the Universe
19.2 Explaining the Universe
PART III THE EINSTEIN EQUATION
20 A Little More Math
20.1 Vectors
20.2 Dual Vectors
20.3 Tensors
20.4 The Covariant Derivative
20.5 Freely Falling Frames Again
21 Curvature and the Einstein Equation
21.1 Tidal Gravitational Forces
21.2 Equation of Geodesic Deviation
21.3 Riemann Curvature
21.4 The Einstein Equation in Vacuum
21.5 Linearized Gravity
22 The Source of Curvature
22.1 Densities
22.2 Conservation
22.2 Conservation of Energy-Momentum
22.3 The Einstein Equation
22.4 The Newtonian Limit
23 Gravitational Wave Emission
23.1 The Linearized Einstein Equation with Sources
23.2 Solving the Wave Equation with a Source
23.3 The General Solution of Linearized Gravity
23.4 Production of Weak Gravitational Waves
23.5 Gravitational Radiation from Binary Stars
23.6 The Quadrupole Formula for the Energy Loss in Gravitational Waves
23.7 Effects of Gravitational Radiation Detected in a Binary Pulsar
23.8 Strong Source Expectations
24 Relativistic Stars
24.1 The Power of the Pauli Principle
24.2 Relativistic Hydrostatic Equilibrium
24.3 Stellar Models
24.4 Matter in Its Ground State
24.5 Stability
24.6 Bounds on the Maximum Mass of Neutron Stars
APPENDIXES
A Units
A.1 Units in General
A.2 Units Employed in this Book
B Curvature Quantities
C Curvature and the Einstein Equation
D Pedagogical Strategy
D.1 Pedagogical Principles
D.2 Organization
D.3 Constructing Courses
Bibliography
Index
^ 收 起
目 录内容简介
Einstein的广义相对论是现代物理的基石。它包括了大量讲述时空的前沿话题，黑洞、重力波以及宇宙学。随着广义相对论越来越成为同时代物理和天文学的中心，其在本科教育中的地位也显得尤为重要。这本全新的教材很适合本科生作为了解该课程的基础理论。物理优先、数学理论尽可能少、大量的应用实例，作者为物理学家和对该学科感兴趣的读者自然顺畅的讲述了这门学科。
读者对象：《引力》适用于物理专业的本科生，研究生以及对该学科感兴趣的广大读者。
目次：（第一部分）牛顿物理和狭义相对论中的时空：引力物理；几何作为物理；牛顿物理中的空间；时间和引力；狭义相对论原理；狭义相对论力学； （第二部分）广义相对论的弯曲时空：引力作为几何；弯曲时空的描述；测地线；球形星体外的几何；广义相对论的太阳系检验；实用相对论引力；引力坍缩和黑洞；天体物理学黑洞；微小转动；旋转黑洞；引力波；宇宙观察；宇宙学模型；什么是宇宙以及为什么；（第三部分）Einstein方程：数学部分；曲率和Einstein方程；曲率源；引力波发射；相对论星体。
^ 收 起
读者对象：《引力》适用于物理专业的本科生，研究生以及对该学科感兴趣的广大读者。
目次：（第一部分）牛顿物理和狭义相对论中的时空：引力物理；几何作为物理；牛顿物理中的空间；时间和引力；狭义相对论原理；狭义相对论力学； （第二部分）广义相对论的弯曲时空：引力作为几何；弯曲时空的描述；测地线；球形星体外的几何；广义相对论的太阳系检验；实用相对论引力；引力坍缩和黑洞；天体物理学黑洞；微小转动；旋转黑洞；引力波；宇宙观察；宇宙学模型；什么是宇宙以及为什么；（第三部分）Einstein方程：数学部分；曲率和Einstein方程；曲率源；引力波发射；相对论星体。
^ 收 起
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