General Information: Home About Me CV Contact /// Physics Department SUT Cosmology Group of Sharif University of Technology
Academic Activities: Research Interest Publication 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 II ( Fall 2016)
General: (The webpage of the course is updated gradually) - Last Update 6 February 2017
This is a Ph.D. course, which will be held in Physics Department of Sharif University of Technology.
Class Time: Saturday and Monday 16:00 - 18:00
Place: Physics Department - Physics 3
Office Hours: ---- (Or by appointment)
Number of Registered Students:
About the Course:
The main subject of the course is advance course for a Graduate Student to deepen their General Relativity knowledge and start reseacrh in GR.
The topics that will be covered or touched are as below:
1) More General Black Holes
2) GR and Cosmology
3) Gravitational Wave II
4) Mathematical Foundation of GR revisited
5) Quantum Field Theory in Curved Space Time
6) Modified Gravity
Grading:
Assignments: 4 points
Midterm exam: 3 points Midterm exam will be Monday 21 November 2016 / 1 Azar 1395
Project - Presentation - Term Paper: 8 points Saturday 14 January 2017/ 25 Day 1395
Take Home Exam: 5 points Saturday 28 January 2017/ 9 Bahman 1395
Please Find the Take Home Exam
Total grade: 20
You can find your Mid term 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 and ...
Gravitation: Foundations and Frontiers by T. Padmanabhan - Cambridge University Press - 2010
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 T. Padmanabhan - Cambridge University Press - 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:
Time Line of Lectures:
Time Line of Lectures:
Lecture 1: ( Saturday - 17 Sep 2016)
More General Black Holes: a) A review session on what we learn in General Relativity I b) Concept of Event Horizon c) No Hair Theorem
Lecture 2: ( Monday - 19 Sep 2016)
More General Black Holes: a) No Hair theorem b) Kerr Black Holes
Lecture 3: (Saturday - 24 Sep 2016)
More General Black Holes: a) Kerr Black Holes b) Reissner–Nordström Black Holes
Lecture 4: ( Monday - 26 Sep 2016)
More General Black Holes: The geodesics congruence, Raychaudhuri's equations
Lecture 5 : ( Saturday - 1 Oct 2016 )
More General Black Holes: The concept of Horizon is revisited - Killing Horizons
Lecture 6 : ( Monday 3 Oct 2016)
More General Black Holes: Energy Conditions and Hawking Penrose Singularity Theorem
Lecture 7 : ( Saturday 8 Oct 2016 )
GR and Cosmology: Maximally symmetric solutions of GR
Lecture 8 : ( Monday 10 Oct 2016)
GR and Cosmology: A review on Background Cosmology, Geometry, Thermal History and Universe constituents
Lecture 9 : ( Saturday 15 Oct 2016)
GR and Cosmology: The concept of shrinking Hubble radius and Horizon Problem.
Lecture 10 : (Monday 17 Oct 2016)
GR and Cosmology: Inflationary paradigm as a solution to Horizon problem and Mechanism to introduce the shrinking Hubble radius.
GR and Cosmology: Perturbation Theory in FRW Universe, Gauge Invariant quantities and inflationary mechanism for producing perturbations in EU.
GR and Cosmology: Scalar perturbation in Inflationary model. Mukhanov-Sasaki equation and power spectrum initial curvature spectrum is discussed.
Mathematical Foundation of GR: coordinate and non coordinate basis, Tangent and cotangent spaces and the concept of curvature
Mathematical Foundation of GR: The consept of structures is discussed
Mathematical Foundation of GR: Concept of Curvature and metric
Mathematical Foundation of GR: Wedge product
Mathematical Foundation of GR
Mathematical Foundation of GR
Prmordial Black Holes - I
Hawking Radiation and thermal state of Horizons
Assignments:
1) Problem Set 1: Kerr Black Holes due to Session # 13 - Saturday 29 Oct 2016
2) Problem Set 2: Reissner–Nordström Black Holes due to Session # 13 - Saturday 29 Oct 2016
3) Problem Set 3: Raychaudhuri's equations due to Session # 13 - Saturday 29 Oct 2016
4) Problem Set 4: Perturbed FRW Universe due to Session # 18 Monday 14 Nov 2016
5) Problem Set 5: Curvature Perturbation as a guage invariant quantity due to Session # 18 Monday 14 Nov 2016
6) Problem Set 6: Mukhanov- Sassaki Equation due to Session # 18 Monday 14 Nov 2016
Data + Code :
....
Classic Papers:
...
Projects:
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.
1) Delta - N formalism : Mohammad Ansari
2) Primordial Black Holes and Inflationary models: Maryam Rahimi
3) Quantum Field Theory in Curved Space-Time: Elaheh Khaloei
4) Perturbation Theory in Modified Gravity: Mohammad Ali Islami
Interesting Links:
...