General Information: Home About Me CV Contact /// Physics Department SUT Cosmology Group of Sharif University of Technology
Academic Activities: Research Interest Publication Projects Collaborators My Students Courses Cosmology Talks درس نامه ها
Other Activities: Science Outreach Outside Physics Articles News Press Links Photo Gallery فارسی Հայերէն
General Relativity I (Spring 2020)
General Relativity Class - 13 June 2020 - virtual class - Pandemic era
General: ( This webpage is updated gradually) - Last Update 7 August 2020
This is a Ph.D. course, which will be held in Physics Department of Sharif University of Technology.
Class Time: Saturdays and Mondays 16:30-18:30
Place: Physics Department - TBA
Office Hours: Sundays and Tuesdays 8:00 - 9:00 (Or by appointment - Email: baghram@sharif.edu)
Registered students: ...
About the Course:
About the Course:
The main subject of the course is a classic course for a Graduate Student to learn about General Relativity.
The topics that will be covered or touched are as below:
1) A fast review on Special Relativity
2) Manifolds and mathematical foundations of GR
3) Concept of Curvature
4) Einstein Equations
5) The Schwarzschild Solution
6) More about Black Holes
7) GR and Cosmology
8) Perturbation Theory and Gravitation Wave
The main goals of Course:
1) Making a solid background in GR
2) A preparation for entering the advanced topics in GR.
Teacher Assitants:
Javad Tabatabaie email address: smjty25@gmail.com
Mohammad Hosein Sharifi email address: smhsksharifi@gmail.com
Grading:
Assignments: 4 points YOU CAN SEE THE RESULTS HERE
Midterm Exam I: 4 points YOU CAN SEE THE RESULTS HERE
MID-TERM I - EXAM - TAKE HOME LINK TO DOWNLOAD
START: Monday 25 Farvardin 1399 - 13 April 2020 @ 21:00
Due to : FRIDAY 29 Farvardin 1399 - 17 April 2020 @ 23:59
Send your solutions to sh.baghram@gmail.com
Midterm Exam II: 4 points YOU CAN SEE THE RESULTS HERE
MID-TERM II - EXAM - TAKE HOME Quasi-Normal Mode Video 1 and Video 2 (by Prof. B. Mashhoon)
START: Monday 12 Khordad 1399 - 1 June 2020 @ 21:00
Due to : FRIDAY 16 Khordad 1399 - 5 June 2020 @ 23:59
Send your solutions to sh.baghram@gmail.com
Take Home: 4 points YOU CAN SEE THE RESULTS HERE
START: Wednesday 18 Tir 1399 - 8 July 2020 @ 00:01
Due to : FRIDAY 27 Tir 1399 - 17 July 2020 @ 23:59
Send your solutions to sh.baghram@gmail.com
Term Paper: 4 points Due to Tuesday 31 Tir 1399 / 21 July 2020 @ 23:59
Class Activity: 1 points
Total grade: 21 The Final Results are here!
Suggested Reading:
THE main book of the course is: Spacetime and Geometry by Sean Carroll - Addison Wesley Publication - 2004
Very GOOD BOOKS ON CHRONOLOGICAL ORDER to keep an EYE on them
1) Gravitation and Cosmology: principles and applications of the general theory of relativity by Steven Weinberg 1972
2) Gravitation - Charles W. Misner, Kip S. Thorne, John Archibald Wheeler - 1973.
3) General Relativity - Robert M. Wald - 1984
4) Introducing Einstein's Relativity by Ray d'Inverno (1992)
5) Exact Solutions of Einstein's field equations- Hans Stephani - 2003
6) General Relativity: An Introduction for Physicists by M. P. Hobson, G. P. Efstathiou, A. N. Lasenby (2006)
7) A first course in General Relativity - Bernard Schutz - 2009
8) Gravitation: Foundations and Frontiers by Thanu Padmanabhan (2010)
Some very NICE HISTORICAL BOOKS on story of GR:
1) Subtle Is the Lord: The Science and the Life of Albert Einstein by Abraham Pais (2005)
REVIEW ARTICLES:
.....
Papers BY THEME:
....
Lectrure Notes and Presentations:
Lecture for 10 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 12 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 17 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 19 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 24 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 26 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture for 16 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture for 18 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture for 23 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture for 25 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture for 30 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture for 1 Ordibehesht 1399 This lecture will be taught and discussed in vclass
Lecture for 6 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 8 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 13 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 15 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 20 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 22 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 27 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 29 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture for 10 Khordad 1399 The link to vclass
Lecture for 12 Khordad 1399 The link to vclass
Lecture for 17 Khordad 1399 The link to vclass
Lecture for 19 Khordad 1399 The link to vclass
Lecture for 24 Khordad 1399 The link to vclass
Lecture for 26 Khordad 1399 The link to vclass
Time Line of Lectures:
Lecture 1: ( Saturday - 19 Bahman 1398 - 8 Feb 2020)
The history of geometry, space time and gravity is discussed.
Lecture 2: ( Monday - 21 Bahman 1398 - 10 Feb 2020)
A short review on the idea of special relativity and equivalence principle.
Lecture 3: ( Saturday - 26 Bahman 1398 - 15 Feb 2020)
Geodesics equation and the concepts in tensor calculus is introduced.
Lecture 4: ( Monday - 28 Bahman 1398 - 17 Feb 2020)
We discuss the implication of geodesic equation, gravitational redshif is also discussed.
Lecture 5: ( Saturday - 3 Esfand 1398 - 22 Feb 2020)
Review on Covariant derivative, manifolds and asolute derivative.
Lecture 6: ( Monday - 5 Esfand 1398 - 24 Feb 2020)
University is closed due to COVID-19
Lecture 7: ( Saturday - 10 Esfand 1398 - 29 Feb 2020)
Lecture for 10 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture 8: ( Monday - 12 Esfand 1398 - 2 March 2020)
Lecture for 12 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat.
Lecture 9: ( Saturday - 17 Esfand 1398 - 7 March 2020)
Lecture for 17 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture 10: ( Monday - 19 Esfand 1398 - 9 March 2020)
Lecture for 19 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture 11: ( Saturday - 24 Esfand 1398 - 14 March 2020)
Lecture for 24 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
Lecture 12: ( Monday - 26 Esfand 1398 - 16 March 2020)
Lecture for 26 Esfand 1398 You can find the Audio-Video of this lecture in youtube or aparat
NEW YEAR - 1399
Lecture 13: ( Saturday - 16 Farvardin 1399 - 4 April 2020)
Lecture for 16 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture 14: ( Monday - 18 Farvardin 1399 - 6 April 2020)
Lecture for 18 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture 15: ( Saturday - 23 Farvardin 1399 - 11 April 2020)
Lecture for 23 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture 16: ( Monday - 25 Farvardin 1399 - 13 April 2020)
Lecture for 25 Farvardin 1399 This lecture will be taught and discussed in vclass
********************
MID-TERM I - EXAM - TAKE HOME LINK TO DOWNLOAD
START: Monday 25 Farvardin 1399 - 13 April 2020 @ 21:00
Due to : FRIDAY 29 Farvardin 1399 - 17 April 2020 @ 23:59
Send your solutions to sh.baghram@gmail.com
*********************
Lecture 17: ( Saturday - 30 Farvardin 1399 - 18 April 2020)
Lecture for 30 Farvardin 1399 This lecture will be taught and discussed in vclass
Lecture 18: ( Monday - 1 Ordibehesht 1399 - 20 April 2020)
Lecture for 1 Ordibehesht 1399 This lecture will be taught and discussed in vclass
Lecture 19: ( Saturday - 6 Ordibehesht 1399 - 25 April 2020)
Lecture for 6 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 20: ( Monday - 8 Ordibehesht 1399 - 27 April 2020)
Lecture for 8 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 21: ( Saturday - 13 Ordibehesht 1399 - 2 May 2020)
Lecture for 13 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 22: ( Monday - 15 Ordibehesht 1399 - 4 May 2020)
Lecture for 15 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 23: ( Saturday - 20 Ordibehesht 1399 - 9 May 2020)
Lecture for 20 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 24: ( Monday - 22 Ordibehesht 1399 - 11 May 2020)
Lecture for 22 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 25: ( Saturday - 27 Ordibehesht 1399 - 16 May 2020)
Lecture for 27 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 26: ( Monday - 29 Ordibehesht 1399 - 18 May 2020)
Lecture for 29 Ordibehesht 1399 The link to vclass Audio-Video of this lecture in aparat (part I, part II, part III )
Lecture 27: ( Saturday - 3 Khordad 1399 - 23 May 2020)
Pause - Reading Time
Monday - 5 Khordad 1399 - 25 May 2020 Official Holiday
Lecture 28: ( Saturday - 10 Khordad 1399 - 30 May 2020)
Lecture for 10 Khordad 1399 The link to vclass
Lecture 29: ( Monday - 12 Khordad 1399 - 1 June 2020)
Lecture for 12 Khordad 1399 The link to vclass
MID-TERM II - EXAM - TAKE HOME Quasi-Normal Mode Video 1 and Video 2 (by Prof. B. Mashhoon)
START: Monday 12 Khordad 1399 - 1 June 2020 @ 21:00
Due to : FRIDAY 16 Khordad 1399 - 5 June 2020 @ 23:59
Send your solutions to sh.baghram@gmail.com
Lecture 30: ( Saturday - 17 Khordad 1399 - 6 June 2020)
Lecture for 17 Khordad 1399 The link to vclass
Lecture 31: ( Monday - 19 Khordad 1399 - 8 June 2020)
Lecture for 19 Khordad 1399 The link to vclass
Lecture 32: ( Saturday - 24 Khordad 1399 - 13 June 2020)
Lecture for 24 Khordad 1399 The link to vclass
Lecture 33: ( Monday - 26 Khordad 1399 - 15 June 2020)
Lecture for 26 Khordad 1399 The link to vclass
Assignments:
Please send your homeworks to sh.baghram@gmail.com (pdf file - scanned)
1) Homework Set 1 due to Monday 25 Farvardin 1399 - 13 April 2020
2) Homework Set 2 due to Monday 1 Ordibehesht 1399 - 20 April 2020
3) Homework Set 3 due to Monday 1 Ordibehesht 1399 - 20 April 2020
4) Homework Set 4 due to Monday 1 Ordibehesht 1399 - 20 April 2020
5) Homework Set 5 due to Monday 29 Ordibehesht 1399 - 18 May 2020
Term Papers
You can choose one of the projects below for the paper reading, presentation and paper work of this class.
You can choose your project for term papers from APS 2015 - General Relativity’s Centennial
Despite tthis projects you can work on
1) Non-Local Gravity.
2) Gravity in higher dimensions.
3) Gravity and condensed matter.
Projects:
Classic Papers:
Useful Links:
Gravitationa lensing Lecture by Jonathan Pritchard - Harvard
Gravitationa lensing Lecture by Nastassia Grimm Zurich