(hour/week) >
Prerequisites  None  
Course Language  English  
Course Type  Elective  
Course Level  First Cycle  
Mode of Delivery  face to face  
Teaching Methods and Techniques of the Course  Problem Solving Q&A Lecture / Presentation  
Course Coordinator    
Course Lecturer(s)  
Assistant(s) 
Course Objectives  The main objective of this course is to provide an introduction to the general theory of relativity, which explains the emergence of gravity as a geometrical consequence of the curvature of space and time, and its applications. 
Learning Outcomes  The students who succeeded in this course;

Course Description  The discussions in this course will involve the topics of fundamental importance to the theory of gravitation. After developing the bases of the tensor formalism, Einstein’s field equation will be introduced, and the Schwarzschild solution to the field equations will be obtained. Observational proofs of the theory will be presented, and two important consequences of the theory will be investigated, namely, black holes and gravitational waves. Elaborations will be made on quantum gravity and cosmology. 
 Core Courses  
Major Area Courses  X  
Supportive Courses  
Media and Managment Skills Courses  
Transferable Skill Courses 
Week  Subjects  Required Materials 
1  Review of special relativity  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 23. ISBN: 9780198596868 
2  Review of special relativity  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 4. ISBN: 9780198596868 
3  Tensor formalism  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 56. ISBN: 9780198596868 
4  The principle of equivalence  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 89. ISBN: 9780198596868 
5  Field equations in general relativity  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 1011. ISBN: 9780198596868 
6  Einstein’s field equations  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 1213. ISBN: 9780198596868 
7  10 December Midterm 1/Project 1 Presentations  
8  The Schwarzschild solution  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 14. ISBN: 9780198596868 
9  Solar system tests of general relativity  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 15. ISBN: 9780198596868 
10  Black holes, Charged and rotating black holes  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 16, Chapter 1819. ISBN: 9780198596868 
11  24 December Projects 2 Presentations  
12  Gravitational waves  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 2021. ISBN: 9780198596868 
13  Relativistic cosmology  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 22. ISBN: 9780198596868 
14  Cosmological models  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). Chapter 23. ISBN: 9780198596868 
15  14 January Projects 3 Presentations  
16  Final exam 
Course Notes/Textbooks  Ray d’Inverno, Introducing Einstein's Relativity (Oxford University Press, New York, 1998). ISBN: 9780198596868 
Suggested Readings/Materials 
Semester Activities  Number  Weigthing 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques  
Portfolio  
Homework / Assignments  
Presentation / Jury  
Project  3  60 
Seminar / Workshop  
Oral Exam  
Midterm  
Final Exam  1  40 
Total 
Weighting of Semester Activities on the Final Grade  3  60 
Weighting of EndofSemester Activities on the Final Grade  1  40 
Total 
Semester Activities  Number  Duration (Hours)  Workload 

Course Hours (Including exam week: 16 x total hours)  16  2  32 
Laboratory / Application Hours (Including exam week: 16 x total hours)  16  2  
Study Hours Out of Class  14  3  42 
Field Work  
Quizzes / Studio Critiques  
Portfolio  
Homework / Assignments  
Presentation / Jury  
Project  3  7  
Seminar / Workshop  
Oral Exam  
Midterms  
Final Exams  1  23  
Total  150 
#  Program Competencies/Outcomes  * Contribution Level  
1  2  3  4  5  
1  To be able master and use fundamental phenomenological and applied physical laws and applications,  X  
2  To be able to identify the problems, analyze them and produce solutions based on scientific method,  X  
3  To be able to collect necessary knowledge, able to model and selfimprove in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions,  X  
4  To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the nonexperts comfortably,  X  
5  To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License,  
6  To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in,  
7  To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance,  
8  To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results,  
9  To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,  
10  To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively.  
11  To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).  
12  To be able to speak a second foreign at a medium level of fluency efficiently  
13  To be able to relate the knowledge accumulated throughout the human history to their field of expertise. 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest