General Theory of Relativity

Course Information
TitleΓΕΝΙΚΗ ΘΕΩΡΙΑ ΣΧΕΤΙΚΟΤΗΤΑΣ / General Theory of Relativity
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorNikolaos Stergioulas
Course ID40003079

Class Information
Academic Year2017 – 2018
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
Course Type 2016-2020
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
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 1) have familiarized themselves with using tensors, 2) have comprehended the axioms of the theory of general relativity, 3) have comprehended the implications and the applications of the theory of general relativity, 4) have 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, Reissner-Nordstrom, Kerr, Kerr-Newman) - 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, Kerr-Newman) - Weak Gravitational Fields, Gravitational Waves (Sources, Propagation, Detection.
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
Presentations, elearning page
Course Organization
Other / Others39
Student Assessment
Weekly exercises (15%), mid-term exam (25%), finial exam (60%)
Student Assessment methods
  • Written Assignment (Formative)
  • Written Exam with Problem Solving (Formative)
Course Bibliography (Eudoxus)
Βαρύτητα, J. Hartle, Εκδόσεις: ΤΖΙΟΛΑ Γενική Σχετικότητα, B.F. Schutz, Εκδόσεις: ΤΡΑΥΛΟΣ & ΣΙΑ ΟΕ
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