Graduate
Institute of Graduate Studies
Physics
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Physics Main Page / Program Curriculum / General Relativity Theory II

General Relativity Theory II

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
FBY0013 General Relativity Theory II 3/0/0 DE Turkish 9
Course Goals

Together with the aid of basic concepts of the previous course, how can we get a feel about the Universe by simply using  mathematics as a tool. Beside a pure faith, how one can turn the results to a living philosophy which  are constantly tried by experiments

Prerequisite(s) None
Corequisite(s) None
Special Requisite(s) None
Instructor(s) Professor Sevim Akyüz
Course Assistant(s) None
Schedule Day, hours, XXX Campus, classroom number.
Office Hour(s) Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques -
Principle Sources -General Relativity, An Introduction for Physicists, M. P. Hobson, G. P. Efstathiou and A. N. Lasenby,  Cambridge Univ. Press , 2006
Other Sources -An Introduction to General Relativity and Cosmology, J. Plebanski and A. Krasinski, Cambridge Univ. Press, 2006

-Exploring Black Holes, Introduction to General Relativity, E. F. Taylor and J. A. Wheeler, Addison-Wesley Longman,2000

-Gravity from the Ground Up, B. Schutz, Cambridge Univ. Press, 2003


Course Schedules
Week Contents Learning Methods
1. Week Geometrization of Force and Einstein’s general Relativity
2. Week Mathematical Essentials of Riemann Geometry
3. Week Parallel Transport and Curvature
4. Week Curvature Tensor, Ricci Tensor and Curvature, Einstein Spaces
5. Week Algebraic Properties of Curvature Tensor and its independent components
6. Week Identifying Schwartz-Christoffel as Affine Connections and General Relativity as a Gauge Theory
7. Week Defining Metric Tensor as a Spin-2 Graviton Field
8. Week Metric dependence of Einstein’s Field Equations
9. Week Understanding Particle Interpretation by linearizing General Relativity
10. Week How one can determine Local Geometries by Metric Identifications
11. Week Some Exemplary Solutions which provide the validity of General Relativity
12. Week Definition of Spherical Geometries
13. Week Schwarzschild Metric and Black Hole Solution
14. Week Kerr Geometry, Friedmann–Robertson–Walker Geometry, Understanding Gravitational Wave Concept
15. Week
16. Week
17. Week
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 20
Quizzes 3 10
Homework / Term Projects / Presentations 3 10
Attendance 10 10
Final Exam 1 50


Program Outcomes
PO-1To acquire the ability of deeply understanding physical concepts, by extending knowledge and experience in physics.
PO-2To be able to understand, interpret, and synthesise interdisciplinary relations.
PO-3To be able to transfer field-specific information to other work groups in written, oral, and visual ways.
PO-4To be able to identify and evaluate problems relevant to the mastering field, by using various databases and bibliographic resources.
PO-5To be able to use the theoretical and applied information which is learned within the mastering field, with the help of information technologies.
PO-6To understand the fundamentals of physics in an advanced way and to acquire the ability of problem solving.
PO-7To adopt acting in accordance with scientific ethics.
PO-8To acquire the ability of reading and writing in at least one foreign language.
PO-9To be able to follow recent developments in the mastering field of physics, by making extensive scans of the literature.
PO-10To be able to develop individual decision and creativity skills.
Learning Outcomes
LO-1Basic goal is to bring back the students near to an immense ocean such as General Relativity and to make feel how this is the ocean
LO-2To show General Relativity and Mathematics are nested friends and think a little about the Riemann Geometry
LO-3Before solving Einstein Equations, to see the basic structure of these equations
LO-4Course’s program proclaims that, beside Cosmology or something like that, its progress is the direction of Particle Physics which is known to be quite important to gain an insight about the Universe today
LO-5It could be that mathematical details could be forgotten with years though it is clearly seen that this course aims to gain a basic understanding about the Universe and hence a living philosophy. Since the last 100 years and several tests one can see that this philosophy do misguide its believers
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10
LO 1
LO 2
LO 3
LO 4
LO 5