Together with Quantum Theory, General Relativity and its underlying idea is the scientific discipline that creates 20. Century. The course, therefore, aims to figure out that how this idea gives to young followers a thing to look at the Universe by, of course, using Mathematics as a tool
-General Relativity, An Introduction for Physicists, M. P. Hobson, G. P. Efstathiou and A. N. Lasenby, Cambridge Univ. Press , 2006
Other Sources
-Introducing Einstein’ s Relativity, Ray D’ Inverno, Oxford Univ. Press, 1998
-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
Metric and Distance on Flat spaces, Euclidean Spaces
2. Week
Minkowski Space, Covariance and Contravariance
3. Week
General Coordinate Transformations, Spaces with Metrics depending on Space-Time
4. Week
Covariant Derivative, Afin Connections
5. Week
Understanding Being Curved, Parallel Transport
6. Week
Geodesic:Definition and Concept
7. Week
Covariant Maxweel Theory on 4-Dimensional Space
8. Week
Existence of Matter and Energy Tensor
9. Week
Newton Mechanics and Galilee Covariance
10. Week
Basic Principles of Einstein’s Special RelativitY
11. Week
Algebraic Structure of Lorentz Transformations
12. Week
Light Velocity Principle and Relativistic Invariance
13. Week
Making a Theory invariant under General Coordinate Transformations
14. Week
Geometrization of Force or A Brief Introduction to Einstein’s General Relativity
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-1
To acquire the ability of deeply understanding physical concepts, by extending knowledge and experience in physics.
PO-2
To be able to understand, interpret, and synthesise interdisciplinary relations.
PO-3
To be able to transfer field-specific information to other work groups in written, oral, and visual ways.
PO-4
To be able to identify and evaluate problems relevant to the mastering field, by using various databases and bibliographic resources.
PO-5
To be able to use the theoretical and applied information which is learned within the mastering field, with the help of information technologies.
PO-6
To understand the fundamentals of physics in an advanced way and to acquire the ability of problem solving.
PO-7
To adopt acting in accordance with scientific ethics.
PO-8
To acquire the ability of reading and writing in at least one foreign language.
PO-9
To be able to follow recent developments in the mastering field of physics, by making extensive scans of the literature.
PO-10
To be able to develop individual decision and creativity skills.
Learning Outcomes
LO-1
To figure out that there are so many, and hence different from the one, equivalent frameworks to think about a thing
LO-2
A Mathematical Modelling of Gravitational Attraction as a basic law holding the Universe together
LO-3
Universe is a place, not in, but on which we all live and what makes the Universe curved is the Mass
LO-4
How Velocity of Light determines the structure of Universe
LO-5
Understanding the solutions of Einstein Equations which we assume govern the whole space and as an extra bonus to see the existence of Black Holes in a mathematical way
