引力 [AN INTRODUCTION TO EINSTEINS GENERAL RELATIVITY] pdf epub mobi txt 電子書 下載 2024
內容簡介
Einstein的廣義相對論是現代物理的基石。它包括瞭大量講述時空的前沿話題,黑洞、重力波以及宇宙學。隨著廣義相對論越來越成為同時代物理和天文學的中心,其在本科教育中的地位也顯得尤為重要。這本全新的教材很適閤本科生作為瞭解該課程的基礎理論。物理優先、數學理論盡可能少、大量的應用實例,作者為物理學傢和對該學科感興趣的讀者自然順暢的講述瞭這門學科。
讀者對象:《引力》適用於物理專業的本科生,研究生以及對該學科感興趣的廣大讀者。
目次:(第一部分)牛頓物理和狹義相對論中的時空:引力物理;幾何作為物理;牛頓物理中的空間;時間和引力;狹義相對論原理;狹義相對論力學; (第二部分)廣義相對論的彎麯時空:引力作為幾何;彎麯時空的描述;測地綫;球形星體外的幾何;廣義相對論的太陽係檢驗;實用相對論引力;引力坍縮和黑洞;天體物理學黑洞;微小轉動;鏇轉黑洞;引力波;宇宙觀察;宇宙學模型;什麼是宇宙以及為什麼;(第三部分)Einstein方程:數學部分;麯率和Einstein方程;麯率源;引力波發射;相對論星體。
內頁插圖
目錄
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
前言/序言
~Einsteins relativistic theory of gravitation——general relativity——will shortly be acentury old. At its core is one of the most beautiful and revolutionary conceptionsof modem science——the idea that gravity is the geometry of four-dimensionalcurved spacetime. Together with quantum theory, general relativity is one of thetwo most profound developments of twentieth-century physics. General relativity has been accurately tested in the solar system. It underliesour understanding of the universe on the largest distance scales, and is centralto the explanation of such frontier astrophysical phenomena as gravitational col-lapse, black holes, X-ray sources, neutron stars, active galactic nuclei, gravita-tional waves, and the big bang. General relativity is the intellectual origin of manyideas in contemporary elementary particle physics and is a necessary prerequisiteto understanding theories of the unification of all forces such as string theory. An introduction to this subject, so basic, so well established, so central to sev-eral branches of physics, and so interesting to the lay public is naturally a partof the education of every undergraduate physics major. Yet teaching general rel-ativity at an undergraduate level confronts a basic problem. The logical order ofteaching this subject (as for most others) is to assemble the necessary mathemati-cal tools, motivate the basic defining equations, solve the equations, and apply thesolutions to physically interesting circumstances. Developing the tools of differ-ential geometry, introducing the Einstein equation, and solving it is an elegant andsatisfying story. But it can also be a long one, too long in fact to cover both thatand introduce the many con~~temporary applications in the time that is typicallyavailable for an introductory undergraduate course. Gravity introduces general relativity in a different order. The principles onwhich it is based are discussed at greater length in Appendix D, but essentiallythe strategy is the following: The simplest physically relevant solutions of theEinstein equation are presented first, without derivation, as spacetimes whose ob-servational consequences are to be explored by the study of the motion of testparticles and light rays in them. This
引力 [AN INTRODUCTION TO EINSTEINS GENERAL RELATIVITY] 下載 mobi epub pdf txt 電子書
引力 [AN INTRODUCTION TO EINSTEINS GENERAL RELATIVITY] pdf epub mobi txt 電子書 下載