1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际授课需要或在课程检讨之后产生变动。如对课程有任何疑问，请联
系授课教师。
The course information as follows may be subject to change, either during the session because of unforeseen
circumstances, or following review of the course at the end of the session. Queries about the course should be
directed to the course instructor.
1.
课程名称 Course Title
广义相对论:从黑洞到宇宙学 General Relativity: from Black Holes to Cosmology
2.
授课院系
Originating Department
物理系 Department of Physics
3.
课程编号
Course Code
PHY439
4.
课程学分 Credit Value
3
5.
课程类别
Course Type
Major Selective Course
6.
授课学期
Semester
Spring
7.
授课语言
Teaching Language
English
8.
授课教师、所属学系、联系方
式（如属团队授课，请列明其
他授课教师）
Instructor(s), Affiliation&
Contact
（For team teaching, please list
all instructors）
Leonardo Modesto, Department of Physics
9.
实验员/助教、所属学系、联系
方式
Tutor/TA(s), Contact
待公布 To be announced
10.
选课人数限额(可不填)
Maximum Enrolment
（Optional）
授课方式
Delivery Method
习题/辅导/讨论
Tutorials
实验/实习
Lab/Practical
其它(请具体注明)
Other（Please specify）
总学时
Total
11.
学时数
Credit Hours
48
2
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
线性代数 A Linear Algebra A（MA107A）
分析力学 Analytical Mechanics（PHY205-15）
13.
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
Advanced quantum field theory
14.
其它要求修读本课程的学系
Cross-listing Dept.
无 N/A
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
This is a course for students interesting in relativistic astrophysics from the solar system scale to cosmological scale.
From a mathematical standpoint they will learn more about linear algebra, tensor calculus, differential geometry, and
classical mechanics. From the physical standpoint they will learn the modern geometrical understanding of gravity as
curvature of the space-time. In modern physics General Relativity is not anymore a speculative research topic, but a well-
tested theory with implications in the everyday life as shown by the application to the ``Global Position System” and the
very recent discovery of the gravitational waves. Indeed, the latter discovery opens new possibilities of employment for
the new generations of experimental as long as theoretical physicists. Moreover, the physics of gravitational waves is
only one of the numerous job possibilities offered in astrophysics and cosmology, in public and private institutions, in
China and abroad, for which a background in general relativity is needed.
16.
预达学习成果 Learning Outcomes
By the end of this course, students will be able to understand the following topics:
- black hole physics,
- cosmology,
- gravitational collapse,
- gravitational waves,
- Einstein gravitational equations.
17.
课程内容及教学日历 （如授课语言以英文为主，则课程内容介绍可以用英文；如团队教学或模块教学，教学日历须注明
主讲人）
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
3
1) Special Relativity in a nutshell. 4 学时
2) Short review of linear algebra.4 学时
3) Geodesic principle. 4 学时
4) Spherically symmetric Schwarzschild Black Hole. 4 学时
5) Rotating Kerr Black Hole and other black hole splutions. 4 学时
6) Cosmological spacetimes. 4 学时
7) Gravitational collapse.4 学时
8) Tensor calculus and differential geometry.4 学时
9) Einstein Equations.4 学时
10) Einstein-Hilbert Action. 4 学时
11) Gravitational waves. 4 学时
12) Goedel Universe, wormholes, and time machines. 4 学时
18.
教材及其它参考资料 Textbook and Supplementary Readings
James B. Hartle, GRAVITY, an introduction to Einstein’s General Relativity (Addison Wesley).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Volume 2 (Chapters:1, 2, and 10).
Ray d’Inverno, Introducing Einstein’s Relativity.
Other master books:
Charles W. Misner, Kip S. Thorne, and John Archibald, GRAVITATION.
Stephen Hawking and George Ellis , The Large Scale Structure of Space-Time.
课程评估 ASSESSMENT
19.
评估形式
Type of
Assessment
评估时间
Time
占考试总成绩百分比
% of final
score
违纪处罚
Penalty
备注
Notes
出勤 Attendance
10%
课堂表现
Class
Performance
10%
小测验
Quiz
课程项目 Projects
平时作业
Assignments
20%
4
期中考试
Mid-Term Test
期末考试
Final Exam
60%
期末报告
Final
Presentation
其它（可根据需要
改写以上评估方
式）
Others (The
above may be
modified as
necessary)
20.
记分方式 GRADING SYSTEM
A. 十三级等级制 Letter Grading
B. 二级记分制（通过/不通过） Pass/Fail Grading
课程审批 REVIEW AND APPROVAL
21.
本课程设置已经过以下责任人/委员会审议通过
This Course has been approved by the following person or committee of authority
物理系教学指导委员会
Education Instruction Committee of Physics department