1	Course Title:	GENERAL RELATIVITY
2	Course Code:	FZK6110
3	Type of Course:	Optional
4	Level of Course:	Third Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç. Dr. Cem Salih Ün
16	Course Lecturers:	Doç. Dr. Cem Salih ÜN, Dr. Öğr. Gör. Zerrin KIRCA
17	Contactinformation of the Course Coordinator:	Doç Dr. Cem Salih ÜN, Email: cemsalihun@uludag.edu.tr Tel: 0224-2955075
18	Website:
19	Objective of the Course:	The aim of this course is to provide information about basic concepts and mathematical structure of general relativity.
20	Contribution of the Course to Professional Development	The student can understand and interpret the current developments in theoretical and experimental general relativity. Besides, they can theoretically explain the experimental observations.

21

Learning Outcomes:

1 To learn the basic conceptual foundations of the general relativity.; 2 To learn mathematical structure of the general relativity ; 3 To learn experimental tests of the general relativity and standard cosmological models.;

22	Course Content:

Week	Theoretical	Practical
1	Special relativity, Lorentz transformations, spacetime diagrams, vectors and tensors
2	Special relativity; Proper time, Physics in flat spacetime
3	Manifolds; Coordinate systems, vectors, tensor transformation law
4	Manifolds; metric, tensor densities
5	Curvature; Covariant derivatives and connection coefficients, Parallel transport, geodesics, Riemann tensors
6	Gravitation; the principle of equivalance, Einstein’s equations, the Newtonian limit
7	Weak fields and gravational radiation; the weak field limit
8	Weak fields and gravational radiation; Linearized Einstein equations, gravitational waves
9	The Schwarzschild solution and black holes; Birkoff’s theorem, geodesics of Schwarzschild , Kruskal expansion
10	The Schwarzschild solution and black holes; Penrose diagrams, Black-hole thermodynamics
11	The Schwarzschild solution and black holes; Black-hole thermodynamics (Contiune)
12	Cosmology; Robertson-Walker metric, The Friedmann equations
13	Cosmology; Cosmological redshift, inflation
14	Cosmological models

23	Textbooks, References and/or Other Materials:	1. General theory of relativity by P. A. M. Dirac. 2. Schwarzschild and Kerr Solutions of Einstein’s Field Equation: an introduction by  C. Heinicke, F. W. Hehnl 3. Spacetime Geometry and General Relativity by N. Lambert 4. General Covariance and The Foundations of General Relativity by J. D. Norton 5. General Relativity by B. Crowell 6. Black Holes and Time Warps by K. S. Thorne
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	25
Quiz	0	0
Homeworks, Performances	1	25
Final Exam	1	50
Total	3	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course	The system of relative evaluation is applied.
Information

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ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	6	84
Homeworks, Performances	1	4	56
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	2	2
Others	0	0	0
Final Exams	1	2	2
Total WorkLoad			188
Total workload/ 30 hr			6,2
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 5 3 3 5 3 3 0 0 0 0 0 0 LO2 5 3 3 5 3 3 0 0 0 0 0 0 LO3 5 3 3 5 3 3 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High