Black Hole Thermodynamics
Course
Code: NTMF091, Summer Term 2024/25
Lecturers:
- Olda Semerák
(Oldrich.Semerak@mff.cuni.cz)
- David Kubiznak
(david.kubiznak@matfyz.cuni.cz)
- Marek Liška (liska.mk@seznam.cz)
- Ana Alonso Serrano
(a.alonso.serrano@gmail.com)
Institute:
Institute of Theoretical Physics, MFF UK
Course Details: 2/0, Exam (13 lectures)
Description
We
will cover several selected topics in black hole thermodynamics, spanning basic
properties of black hole horizons, 4 laws of black hole thermodynamics,
Euclidean action calculation, covariant phase space approach, black hole
chemistry, and quantum information properties of black holes.
For PhD and Mgr students – basic knowledge of general
relativity and quantum field theory is required.
Preliminary Topics
- Horizons as null congruences, weak rigidity theorem,
... (Semerák)
- Basics of black hole thermodynamic, black hole
chemistry (Kubiznak)
- Wald formalism, Bekenstein
entropy, Brown-York grand-canonical ensemble (Liška)
- Shannon and von Neumann entropy, Black hole
information paradox (Serrano)
Additional Reading
- Black hole chemistry: Thermodynamics with Lambda, DK, R. Mann, and M. Teo, Class.
Quantum Gravity 34 (2107) 063001; ArXiv:1608:06147
- Advanced Lectures on General Relativity, Geoffrey Compčre, Adrien
Fiorucci, ArXiv:1801.07064, Chapter 1
- Additional material will be announced during the
course
Lecture Schedule
Regular
time (Fridays 10:40, T1)
- Lecture 1: Black hole mechanics 1
- Lecture 2: Black hole mechanics 2
- Lecture 3: Black hole mechanics 3
- Lecture 4: Introduction to BH
thermodynamics
- Lecture 5: Black hole chemistry
- Lecture 6: Adventure with the
C-metric
Remaining
lectures
- Lectures 7&8: Friday, April 4,
13:10-16:30 (T1)
- Lectures 9&10: Friday, April
11, 10:40-15:00 (T1)
- Lectures 11&12: Friday, April
25, 10:40-15:00 (T1)
- Lecture 13: Tuesday, April 29,
9:00-10:40 (T1)
Materials:
· Part 1: Black hole mechanics (Semerak)
· Part 2: Classical black hole thermodynamics
(Kubiznak)
o D. Kubiznak -
Lecture 4: Introduction to BH thermodynamics
o D. Kubiznak -
Lecture 5: Black hole chemistry
o D. Kubiznak -
Lecture 6: Adventure with the C-metric
· Part 3: Covariant and Brown-York approach
(Liska)
· Part 4: Quantum thermodynamics: black hole
information paradox (Serano)
Exam:
· Part 2: List of
potential questions