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課程名稱 |
廣義相對論
General Relativity |
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開課學期 |
106-2 |
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授課對象 |
理學院 天文物理研究所 |
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授課教師 |
王名儒 |
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課號 |
AsPhys8017 |
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課程識別碼 |
244 D1120 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期一2,3,4(9:10~12:10) |
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上課地點 |
新物111 |
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備註 |
1.天文必選
2.在新物111上課
總人數上限：50人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1062AsPhys8017_ |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
1. Gravitational Physics
2. Principles of Special Relativity
3. Special Relativistic Mechanics
4. Equivalence Principle
5. Gravity as Geometry
6. The Description of Curved Spacetime Vectors, Dual Vectors, Tensors
7. Covariant Derivative
8. Riemannian Curvature
9. Einstein Equation
10. The Source of Curvature
11. Geodesics
12. The Geometry Outside a Spherical Star
13. Tests of General Relativity
14. Schwarzschild Black Hole
15. Rotating Black Hole
16. Gravitational Waves
17. Cosmological Models
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課程目標 |
待補 |
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Relativity (Special, General and Cosmological) Wolfgang Rinder 2nd Edition
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參考書目 |
Some easily accessible readings:
1. J. Foster and J.D. Nightingale, A Short Course in General Relativity, 3rd ed,
Springer
(2006). NTU campus access:
http://rd.springer.com/book/10.1007%2F978-0-387-27583-3
2. N. M. J. Woodhouse, General Relativity, Springer (2007). NTU campus access:
http://rd.springer.com/book/10.1007%2F978-1-84628-487-8
3. Benjamin Crowell, General Relativity (2009). Free online access:
http://www.lightandmatter.com/genrel/
4. Sean M. Carroll, Lecture Notes on General Relativity (1997). Free online access:
https://arxiv.org/abs/gr-qc/9712019 |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
midterm exam |
30% |
4/9 |
2. |
midterm exam |
30% |
5/21 |
3. |
final report |
30% |
6/25 |
4. |
平時成績 |
10% |
包含出席、習題等 |
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週次 |
日期 |
單元主題 |
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第1週 |
2/26 |
Overview & Special Relativity
(time dilation, length contraction, velocity addition ...etc.) |
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第2週 |
3/05 |
Lorentz transformation, Minkowski diagram, acceleration transformation & hyperbolic motion, rigid rod motion, 4-vector. |
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第3週 |
3/12 |
E=mc^2, GZK effect, gravitational time dilation, Compton scattering, Maxwell equations, metric. |
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第4週 |
3/19 |
Vector, tensor, spacetime curvature, rotating disk. |
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第5週 |
3/26 |
Christoffel symbol, geodesic equation, 考前複習 |
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第6週 |
4/02 |
溫書假 |
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第7週 |
4/09 |
Midterm |
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第8週 |
4/16 |
Geodesic coordinates, differentiation, Riemann curvature |
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第9週 |
4/23 |
Bianchi identity, energy momentum stress tensor, Einstein field equations |
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第10週 |
4/30 |
Schwarzschild solution, gravitational frequency shift |
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第11週 |
5/07 |
Birkhoff theorem, distance, Flamm paraboloid, massive particle path, precession, photon orbits. |
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第12週 |
5/14 |
Light deflection, massive particles free falling, Eddington-Finkelstein metric, Rindler space, Kruskal coordinate, 考前複習 |
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第13週 |
5/21 |
Midterm |
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第14週 |
5/28 |
Gravitational wave, TT gauge, modified Schwarzschild solution. |
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第15週 |
6/04 |
de Sitter / Anti-de Sitter space, cosmology basic facts, Hubble constant, FRW metric. |
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第16週 |
6/11 |
Cosmological redshift, horizons, observables, dynamics of FRW universes. |
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第17週 |
6/18 |
端午節放假 |
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