Title  ΓΕΝΙΚΗ ΘΕΩΡΙΑ ΣΧΕΤΙΚΟΤΗΤΑΣ / General Theory of Relativity 
Code  ΓΘΕ210 
Faculty  Sciences 
School  Physics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Coordinator  Nikolaos Stergioulas 
Common  No 
Status  Active 
Course ID  40003079 
Programme of Study: UPS of School of Physics (2012today)
Registered students: 120
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Special Election  8  4  4 
Academic Year  2019 – 2020 
Class Period  Spring 
Faculty Instructors 

Weekly Hours  3 
Class ID  600159881

Type of the Course
 Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600159881
 At the Website of the School: http://www.physics.auth.gr/courses/236
 eLearning: https://elearning.auth.gr/course/view.php?id=5950
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
 Greek (Instruction, Examination)
 English (Examination)
Learning Outcomes
Upon the completion of the course, the students are expected to have
1) familiarized themselves with using tensors,
2) comprehended the axioms of the theory of general relativity,
3) comprehended the implications and the applications of the theory of general relativity,
4) obtained the ability to solve exercises in general relativity.
General Competences
 Apply knowledge in practice
 Work autonomously
 Work in teams
Course Content (Syllabus)
Tensor Calculus (Algebraic Operations, Symmetries, Covariant Diferentiation, Connections, Parallel Transport, Geodesics, Curvature Tensor)  Riemann Geometry (Riemannian Spaces, Metric Τensor, Christoffel Symbols, Geodesics, Curvature Tensor, Geodesic Deviation, Weyl Tensor, Algebraic Classification, Lie Derivatives, Isometries, Killing Vectors)  The Gravitational Field (Linearized Field Equations, The Principle of Equivalence, Einstein's Field Equations of General Theory of Relativity)  Physics in the Presence of Gravitation  Solutions to the Einstein Equations (Schwarzschild, ReissnerNordstrom, Kerr, KerrNewman)  Tests and Applications of the General Theory of Relativity (Advance of the Perihelion of a Planet, The Deflection of the Light Rays, Gravitational Red Shift, The Delay of Radar Signals)  Gravitational Collapse, Black Holes (Schwarzschild, Kerr, KerrNewman)  Weak Gravitational Fields, Gravitational Waves (Sources, Propagation, Detection.
Keywords
General Relativity, Tensor Analysis, Einstein Equations, Black Holes
Educational Material Types
 Notes
 Slide presentations
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Course Teaching
 Use of ICT in Communication with Students
 Use of ICT in Student Assessment
Description
Presentations, elearning page for uploading and grading of homework
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  78  2.6  ✓  
Reading Assigment  10  0.3  ✓  
Written assigments  29  1.0  ✓  
Exams  3  0.1  ✓  
Total  120  4 
Student Assessment
Description
Final exam on problem solving and homework exercises that give a bonus of up to +1 grade.
Student Assessment methods
 Written Assignment (Formative)
 Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [6236]: Γενική Σχετικότητα, Bernard F. Schutz
Βιβλίο [18548942]: Βαρύτητα  Ειδική Σχετικότητα, Γενική Σχετικότητα, Hartle J.
Additional bibliography for study
1. Lecture notes on general relativity, S. Carroll, https://www.preposterousuniverse.com/grnotes/
2. Lectures on general relativity, D. Tong, http://www.damtp.cam.ac.uk/user/tong/gr.html
3. Lecture notes on general relativity, M. Blau, http://www.blau.itp.unibe.ch/newlecturesGR.pdf
Last Update
10112020