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PHYSICS262 general relativity课程简介

This course is a comprehensive introduction to Einstein’s General Theory of Relativity and its applications to modern physics, cosmology, and astrophysics. The course begins with a review of special relativity and the concept of gravity as arising from curved space.

The main topics covered in the course include:

1. Riemannian geometry and the geodesic equations: This topic lays the foundation for understanding the curvature of space and how it affects the motion of objects.
2. Curvature: The study of curvature in space is crucial for understanding the physical effects of gravity.
3. The energy-momentum tensor: This is a key concept in understanding the distribution of matter and energy in space and how it affects the curvature of space.
4. The Einstein field equations: These equations describe the relationship between the curvature of space and the distribution of matter and energy in space.
5. Experimental tests of General Relativity: The course will cover several experimental tests of General Relativity, including the precession of the orbit of Mercury and the bending of light by gravity.
6. The weak-field limit: This topic explores the behavior of gravity in the weak-field regime, which is relevant for understanding the motion of planets and other celestial objects.
7. Black holes: The course will cover different types of black holes, including the Schwarzschild, charged Reissner-Nordstrom, and rotating Kerr black holes.
8. Gravitational waves: The course will introduce the concept of gravitational waves and the methods used to detect them.
9. Cosmology: The course will provide an introduction to cosmology, including the cosmic microwave background radiation, dark energy, and experimental probes.

The course requires a prerequisite of Physics 121 or an equivalent course that covers special relativity. Students should have a strong background in calculus and differential equations. The course is suitable for graduate students and advanced undergraduate students who are interested in pursuing a career in physics, astrophysics, or cosmology.

PREREQUISITES 

Einstein’s General Theory of Relativity is a basis for modern ideas of fundamental physics, including string theory, as well as for studies of cosmology and astrophysics. The course begins with an overview of special relativity, and the description of gravity as arising from curved space. From Riemannian geometry and the geodesic equations, to curvature, the energymomentum tensor, and the Einstein field equations. Applications of General Relativity: topics may include experimental tests of General Relativity and the weak-field limit, black holes (Schwarzschild, charged Reissner-Nordstrom, and rotating Kerr black holes), gravitational waves (including detection methods), and an introduction to cosmology (including cosmic microwave background radiation, dark energy, and experimental probes). Prerequisite: PHYSICS 121 or equivalent including special relativity.

PHYSICS262 general relativity HELP（EXAM HELP， ONLINE TUTOR）

This will open the file in Emacs.

2. To move the cursor to just after the first occurrence of the word “HTML,” press the Ctrl and s keys together to initiate a search. Then, type “HTML” and press the Enter key. This will take you to the first occurrence of “HTML.” Press the Ctrl and f keys together to move the cursor forward one character at a time until it is just after the “L” in “HTML.”
3. To move the cursor to the start of the first later occurrence of the word “scavenger,” press the Ctrl and s keys together to initiate a search. Then, type “scavenger” and press the Enter key. This will take you to the first occurrence of “scavenger.” Press the Ctrl and s keys together to move to the next occurrence of “scavenger.” Press the Alt and x keys together to initiate the beginning-of-line command, which will take you to the start of the line containing “scavenger.”
4. To move the cursor to the start of the first later occurrence of the word “self-referential,” press the Ctrl and s keys together to initiate a search. Then, type “self-referential” and press the Enter key. This will take you to the first occurrence of “self-referential.” Press the Ctrl and s keys together to move to the next occurrence of “self-referential.” Press the Alt and x keys together to initiate the beginning-of-line command, which will take you to the start of the line containing “self-referential.”
5. To move the cursor to the start of the first later occurrence of the word “arrow,” press the Ctrl and s keys together to initiate a search. Then, type “arrow” and press the Enter key. This will take you to the first occurrence of “arrow.” Press the Ctrl and s keys together to move to the next occurrence of “arrow.” Press the Alt and x keys together to initiate the beginning-of-line command, which will take you to the start of the line containing “arrow.”
6. To move the cursor to the end of the current line, press the Ctrl and e keys together.
7. To move the cursor to the beginning of the current line, press the Ctrl and a keys together.
8. Using the Ctrl key in combination with other keys is a faster way to move around in Emacs than using the arrow keys. For example, Ctrl + f moves the cursor forward one character, Ctrl + b moves the cursor backward one character, Ctrl + n moves the cursor down one line, and Ctrl + p moves the cursor up one line.
9. I did not use the arrow keys to move the cursor.
10. To exit Emacs, press the Ctrl and x keys together, followed by the Ctrl and c keys together. When prompted to save the changes to the file, press the y key for “yes” or the n key for “no,” depending on whether or not you made any changes.

This will open the file in Emacs.

2. To delete the 69th line, move the cursor to the beginning of the line and press the Ctrl and k keys together. This will delete the entire line.
3. To delete the HTML comment containing the text “DELETE-ME DELETE-IIE DELETE-ME”, move the cursor to the beginning of the comment and press the Ctrl and k keys together. This will delete the entire comment.
4. To delete the HTML comment containing the text “https://en. wikipedia. org/wiki/HTML_comnenttHConnents”, move the cursor to the beginning of the comment and press the Ctrl and k keys together. This will delete the entire comment.
5. To delete the remaining two HTML comments, move the cursor to the beginning of each comment and press the Ctrl and k keys together. This will delete each entire comment.
6. Once you have deleted all the comments, save the file by pressing the Ctrl and x keys together, followed by the Ctrl and s keys together. Then, exit Emacs by pressing the Ctrl and x keys together, followed by the Ctrl and c keys together.

Textbooks

• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.

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