Develop students' research skills by tackling some of the current research topics in the field of gravity.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.2 demonstrate a thorough knowledge of advanced methods of theoretical physics including classical mechanics, classical electrodynamics, statistical physics and quantum physics
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.1 identify the essentials of a process/situation and set up a working model of the same or recognize and use the existing models
2.2 evaluate clearly the orders of magnitude in situations which are physically different, but show analogies, thus allowing the use of known solutions in new problems;
2.3 apply standard methods of mathematical physics, in particular mathematical analysis and linear algebra and corresponding numerical methods
3. MAKING JUDGEMENTS
3.2 develop a personal sense of responsibility, given the free choice of elective/optional courses
5. LEARNING SKILLS
5.1 search for and use physical and other technical literature, as well as any other sources of information relevant to research work and technical project development (good knowledge of technical English is required)
5.3 carry out research by undertaking a PhD
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon completing the course, students will be able to:
* use tensor calculus to quantitatively describe curved n-dimensional space(time).
* explain the geometry of certain exact solutions of Einstein equation using Carter-Penrose diagrams.
* compare the geometry of spherically symmetric and rotating black holes.
* explain the laws of mechanics and the laws of thermodynamics of black holes.
* explain creation, propagation and measurement of gravitational waves.
* list the basic assumptions of the bosonic string theory.
Spherically symmetric black holes. (6 hours)
Rotating and electrically charged black holes. (6 hours)
Exact solutions of Einstein equations. Carter-Penrose diagrams. (6 hours)
Mechanics and thermodynamics of black holes. (6 hours)
Gravitational waves. (6 hours)
Quantum field theory in curved spacetime. (6 hours)
Lagrangian and Hamiltonian formulation of general relativity. (6 hours)
Basic elements of the bosonic string theory. (3 hours)
REQUIREMENTS FOR STUDENTS:
Students are required to present their solutions to problems, follow the lectures actively and give a seminar.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Grading performance during seminars and presentations of solutions to problems.