General Relativity I: Theoretical Foundations

The Hong Kong University of Science and Technology

General Relativity I: Theoretical Foundations

Yi Wang

位教师：Yi Wang

包含在中

了解更多

深入了解一个主题并学习基础知识。

2 周完成

在 10 小时一周

灵活的计划

自行安排学习进度

深入了解一个主题并学习基础知识。

2 周完成

在 10 小时一周

灵活的计划

自行安排学习进度

您将获得的技能

要了解的详细信息

可分享的证书

添加到您的领英档案

作业

14 项作业

授课语言：英语（English）

了解顶级公司的员工如何掌握热门技能

了解关于 Coursera for Business 的更多信息

Petrobras, TATA, Danone, Capgemini, P&G 和 L'Oreal 的徽标

该课程共有4个模块

This is an introductory course on general relativity (GR). We will introduce the physics of curved spacetime, Einstein field equations and their applications to the solar system, black hole physics, gravitational wave astronomy and cosmology.

单元详情

涵盖的内容

32个视频5个作业

32个视频总计256分钟

Why Do We Need General Relativity?10分钟
Einstein's "Happiest Thought"10分钟
Versions of the Principle11分钟
A Sharper Statement9分钟
Does Light Fall Under Gravity?4分钟
Plato's Prisoners10分钟
Yet Prisoners We Are!4分钟
Equation Rewritten7分钟
The Metric12分钟
An Expanding Universe5分钟
How Does Light Travel?6分钟
Redshift of Light8分钟
Recap: Invariant Interval, Metric & Light5分钟
Recap: The Principle8分钟
Future Event Horizon9分钟
Faster than Light?6分钟
Comments on the Metric8分钟
How Many Independent Components?6分钟
A General Equation10分钟
The Geodesic Equation10分钟
How to Solve the Equation?10分钟
How to Solve Γ from g?8分钟
Example: Solving a Component4分钟
Extremal of Proper Time8分钟
Recap: From the Metric to the Geodesic Equation4分钟
Maximal or Minimal?9分钟
How to Calculate the Connection?14分钟
Conditions in the Newtonian Limit6分钟
Which Equation to Study?11分钟
Meanings of Γ & g9分钟
Summary5分钟
Remaining Questions9分钟

5个作业总计55分钟

Why Do We Need General Relativity?5分钟
The Equivalence Principle5分钟
The invariant interval and the metric30分钟
Calculation of the connection10分钟
Newtonian limit of the geodesic equation5分钟

涵盖的内容

34个视频5个作业

34个视频总计283分钟

How to Apply the Equivalence Principle?7分钟
General Covariance Principle7分钟
Invariant Scalars6分钟
Recap: GC & Invariant Scalars7分钟
Covariant Vectors6分钟
Contravariant Vectors7分钟
Tensors in General9分钟
Making Tensors9分钟
Raising & Lowering Indices7分钟
For Scalars and Covariant Vectors8分钟
Is Γ a Tensor?11分钟
Covariant Derivative for Vectors7分钟
For Contravariant Vectors10分钟
For All Tensors and Some Special Cases9分钟
Recap: From EP to Tensor Differentiation3分钟
Recap: Tensor Differentiation5分钟
Differentiation of the Metric9分钟
Differentiation of the Inverse Metric12分钟
Differentiation Along a Curve12分钟
How Does the Determinant Transform?11分钟
Invariant Volume5分钟
An Alternative Expression12分钟
Levi-Civita Tensor11分钟
Particle Motion and Maxwell's Equations10分钟
Recap: Tensor Differentiation & Integration5分钟
Recap: From GC to Maxwell's Equations6分钟
Description of Charged Particles12分钟
Conservation of Charges8分钟
Stress Tensor of Particles in Special Relativity9分钟
Stress Tensor of Particles in General Relativity9分钟
For Conservation Laws10分钟
Gravity vs. E&M13分钟
Gauge Invariance vs. Global Symmetry6分钟
Summary3分钟

5个作业总计55分钟

General Covariance5分钟
Tensors5分钟
Tensor Differentiation30分钟
Tensor integration5分钟
Gravitational effect10分钟

涵盖的内容

20个视频3个作业

20个视频总计186分钟

Hints of Curved Spacetime8分钟
Where to Find Curvature?8分钟
Recap: The Riemann Curvature4分钟
How to Construct the Riemann Curvature?9分钟
Any Other Theories?7分钟
The Lagrangian of Gravity6分钟
Commutator of Covariant Derivatives16分钟
Parallel Transport11分钟
After Taylor Expansion14分钟
Geodesic Derivation13分钟
How Different Is g from η?14分钟
Recap: Constructing the Riemann Tensor7分钟
Symmetry of Indices for R9分钟
Algebric Independent Components8分钟
For One and Two Dimensions8分钟
Intrinsic & Extrinsic Curvature9分钟
For Three Dimensions12分钟
Why Do we Care About 3D Gravity?7分钟
Bianchi Identity12分钟
Summary5分钟

3个作业总计40分钟

Riemann Curvature20分钟
Alternative constructions of the Riemann tensor5分钟
Features of the Riemann tensor15分钟

涵盖的内容

7个视频1个作业

位教师

Yi Wang

The Hong Kong University of Science and Technology

5 门课程31,163 名学生

提供方

The Hong Kong University of Science and Technology

从 Physics and Astronomy 浏览更多内容

The Hong Kong University of Science and Technology
General Relativity II: Applications
课程
The Hong Kong University of Science and Technology
Understanding Modern Physics I: Relativity and Cosmology
课程
Birla Institute of Technology & Science, Pilani
General Physics
课程
Rice University
Physics 101 - Rotational Motion and Gravitation
课程

人们为什么选择 Coursera 来帮助自己实现职业发展

Felipe M.

自 2018开始学习的学生

''能够按照自己的速度和节奏学习课程是一次很棒的经历。只要符合自己的时间表和心情，我就可以学习。'

Jennifer J.

自 2020开始学习的学生

''我直接将从课程中学到的概念和技能应用到一个令人兴奋的新工作项目中。'

Larry W.

自 2021开始学习的学生

''如果我的大学不提供我需要的主题课程，Coursera 便是最好的去处之一。'

Chaitanya A.

''学习不仅仅是在工作中做的更好：它远不止于此。Coursera 让我无限制地学习。'

通过订阅解锁 10,000 多门课程的访问权限
通过在线学位推动您的职业生涯
获取世界一流大学的学位 - 100% 在线
加入全球超过 4,700 家选择 Coursera for Business 的公司

常见问题

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

更多问题

请访问学生帮助中心。

提供助学金，