广义相对论基础教程 : 第2版

preface to the second editionpreface to the fi
t edition1 special relativity 1.1 fundamental principles of special relativity (sr) theory 1.2 definition of an inertial observer in sr 1.3 new units 1.4 spacetime diagrams 1.5 co
truction of the coordinates used by another observer 1.6 invariance of the interval 1.7 invariant hyperbolae 1.8 particularly important results 1.9 the lorentz tra
formation 1.10 the velocity-composition law 1.11 paradoxes and physical intuition 1.12 further reading 1.13 appendix； the twin 'paradox' dissected 1.14 exercises2 vector analysis in special relativity 2.1 definition of a vector 2.2 vector algebra 2.3 the four-velocity 2.4 the four-momentum 2.5 scalar product 2.6 applicatio
2.7 photo
2.8 further reading 2.9 exercises3 te
or analysis in special relativity 3.1 the metric te
or 3.2 definition of te
o
3.3 the te
o
； one-forms 3.4 the te
o
3.5 metric as a mapping of vecto
into one-forms 3.6 finally； (m)te
o
3.7 index 'raising' and 'lowering' 3.8 differentiation of te
o
3.9 further reading 3.10 exercises4 perfect fluids in special relativity 4.1 fluids 4.2 dust； the number-flux vector 4.3 one-forms and surfaces 4.4 dust again； the stress——energy te
or 4.5 general fluids 4.6 perfect fluids 4.7 importance for general relativity 4.8 gauss' law 4.9 further reading 4.10 exercises5 preface to curvature 5.1 on the relation of gravitation to curvature 5.2 te
or algebra in polar coordinates 5.3 te
or calculus in polar coordinates 5.4 christoffel symbols and the metric 5.5 noncoordinate bases 5.6 looking ahead 5.7 further reading 5.8 exercises6 curved manifolds 6.1 differentiable manifolds and te
o
6.2 riemannian manifolds 6.3 covariant differentiation 6.4 parallel-tra
port, geodesics, and curvature 6.5 the curvature te
or 6.6 bianchi identities； ricci and ei
tein te
o
6.7 curvature in pe
pective 6.8 further reading 6.9 exercises7 physics in a curved spacetime 7.1 the tra
ition from differential geometry to gravity 7.2 physics in slightly curved spacetimes 7.3 curved intuition 7.4 co
erved quantities 7.5 further reading 7.6 exercises8 the ei
tein field equatio
8.1 purpose and justification of the field equatio
8.2 ei
tein's equatio
8.3 ei
tein's equatio
for weak gravitational fields 8.4 newtonian gravitational fields 8.5 further reading 8.6 exercises9 gravitational radiation 9.1 the propagation of gravitational waves 9.2 the detection of gravitational waves 9.3 the generation of gravitational waves 9.4 the energy carried away by gravitational waves 9.5 astrophysical sources of gravitational waves 9.6 further reading 9.7 exercises10 spherical solutio
for sta
10.1 coordinates for spherically symmetric spacetimes 10.2 static spherically symmetric spacetimes 10.3 static perfect fluid ei
tein equatio
10.4 the exterior geometry 10.5 the interior structure of the star 10.6 exact interior solutio
10.7 realistic sta
and gravitational collapse 10.8 further reading 10.9 exercises11 schwarzschild geometry and black holes 11.1 trajectories in the schwarzschild spacetime 11.2 nature of the surface r = 2m 11.3 general black holes 11.4 real black holes in astronomy 11.5 quantum mechanical emission of radiation by black holes； the hawking process 11.6 further reading 11.7 exercises12 cosmology 12.1 what is cosmology？ 12.2 cosmological kinematics； observing the expanding unive
e 12.3 cosmological dynamics； unde
tanding the expanding unive
e 12.4 physical cosmology； the evolution of the unive
e we observe 12.5 further reading 12.6 exercisesappendix a summary of linear algebrareferencesindex

舒茨编著的《广义相对论基础教程(第2版)》用尽可能少的数学背景，清晰、易懂、简明地介绍了广义相对论。在相对论的框架内尽可能全面的包括更多的内容，从黑洞到引力透视，脉冲星到整个宇宙学的研究，形成一个有机的整体。书中包括了天体学家的很多重大发现，在第一版的基础上增加了一章讲述相对论星体，包括了有关脉冲星的最新知识，有关宇宙学的一章完全更新，全面，综合的讲述了现代发展和预期前景。300多道练习题，许多是这本书中新增加的，这让学生有足够的信心学习好广义相对论和必需的数学知识。本书的写作风格更加使得这门科目更加容易理解。目次：狭义相对论；狭义相对论中的向量分析；狭义相对论中的张量分析；狭义相对论中的完全流；曲率介绍；弯曲流形；弯曲时空中的物理学；einstein场方程；引力辐射；星体的球面解；schwarzschild几何和黑洞；宇宙学。 本书适用于高年级本科生及更层次的，对宇宙学，天体物理学，以及引力物理实验感兴趣的科研人员。