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General Relativity I (Spring 2016)

General:   (The webpage of the course is updated gradually)  - Last Update 23 July 2016

This is a Ph.D. course, which will be held in Physics Department of Sharif University of Technology.

Class Time:  Saturday and Monday   16:30 -  18:30

Place:  Physics Department - Room No. 517

Office Hours:  Mondays 9:00 - 10:00  /  Tuesdays 9:00 - 10:00  (Or by appointment) 

Number of Registered Students:

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

3) Concept of Curvature

4) Einstein Equations

5) The Schwarzschild Solution

6) More about Black Holes ( I )  (This topic can be touched more in GR II )

7) Perturbation Theory and Gravitation Radiation ( I ) ( This topic can be touched more in GR II )

The main goals of Course:

1) Making a  solid background in GR

2) A preparation for entering the advanced topics in GR.


Assignments:  7 points  (due to your performance  plus minus 1)  (Due to  25 Khordad  - 14 June )

Midterm exam: 5 points 

Final Exam: 6 points    ( 25 Khordad  - 14 June )  + Take HOME  (Due to Sunday 20 Tir  - 10 July)

Class Activity and Project:  3 points (due to your performance  plus minus 1)    (Due to Sunday 20 Tir  - 10 July)

Total grade: 21


You can find your  Mid term grades by clicking here

You can find your  Final Exam grades by clicking here

You can find your  Take Home  grades by clicking here

 You can find your  Total  grades

Suggested Reading:

THE main book of the course is:  Spacetime and Geometry by Sean Carroll - Addison Wesley Publication - 2004



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


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)



Papers BY THEME:


Lectrure Notes and Presentations:

Time Line of Lectures:

Lecture 1: ( Sat - 6  -  FEB  - 2016)

An introduction to the course. Three main ideas of non-Euclidian Geometry - The Physics of Gravity and the Concept of Relativity is discussed.

Lecture 2: ( Mon - 8  -  FEB  - 2016)

 Three main ideas of non-Euclidian Geometry - The Physics of Gravity and the Concept of Relativity is discussed.

Lecture 3: ( Sat - 13  -  FEB  - 2016)

Special relativity - Lorentz Transformation is discussed. An introduction to the concept of Manifolds, vectors and one-forms.

Lecture 4: ( Mon - 15  -  FEB  - 2016)

Coordinated transformation, metric and affine parameter is discussed.

Lecture 5: ( Sat-20  -  FEB  - 2016)

The geodesic equation is obtained and we discuss the weak field stationary case.

Lecture 6: ( Mon - 22  -  FEB  - 2016)

The concept of gravitational redshift is discussed.


1) Problem Set 1

2) Problem Set 2

3) Problem set 3   

4) Problem set 4  

 5) Problem set 5 (Midterm Exam)

6) Schwarzschiel Star

7) Lagrangian of linearized Einstein equations and MG


Data + Code :



Classic Papers:




You can choose one of the projects below for the paper reading, presentation and paper work of this class. The projects are going under an intensive update by adding references and review articles and key papers about them.


Interesting Links:


Useful Links: