Learning objectives
Referring to knowledge
Become familiar with advanced techniques in general relativity applied to the study of black holes and relativistic cosmology, including inflationary theory and structure formation in the universe. Classical theory in both contexts is discussed in detail and an introduction to quantum aspects is provided.
Teaching blocks
1. Mathematical background
2. General formalism
2.1. Lagrangian formulation
2.2. Causal structure and conformal diagrams
3. Classical theory of black holes
3.1. General analysis and theorems
3.2. Charged and rotating black holes
4. Quantum fields in curved spacetime; Hawking radiation
5. Black hole thermodynamics; Information paradox
6. Basic notions in the quantum theory of gravity
7. Relativistic cosmology; Causal structure of FRW universes
8. Cosmological perturbation theory
8.1. Formalism
8.2. Transfer functions
8.3. CMB and matter power spectrum
9. Inflation as the origin of primordial perturbations; Predictions and observations
Teaching methods and general organization
Face-to-face sessions, in which lecturers present the theoretical aspects of the course. Students solve weekly set exercises individually.
Official assessment of learning outcomes
Continuous assessment consists of exercises solved weekly by students.
Examination-based assessment
Students are entitled to single assessment only if they are unable to meet the requirements for continuous assessment.
Repeat assessment takes place in September and consists of an examination.
Reading and study resources
Check availability in Cercabib
Book
Poisson, Eric, A Relativist’s Toolkit. Cambridge University Press (2009) https://doi.org/10.1017/CBO9780511606601
https://cercabib.ub.edu/permalink/34CSUC_UB/18sfiok/alma991004393639706708 Enllaç
Wald, Robert M. General relativity. Chicago : The University of Chicago Press, 1984 Enllaç
Carroll, Sean M. Spacetime and geometry : an introduction to general relativity. New intern. ed. Essex :Pearson, 2014 Enllaç
https://cercabib.ub.edu/discovery/search?vid=34CSUC_UB:VU1&search_scope=MyInst_and_CI&query=any,contains,b1751678* Enllaç
Hawking, S. W. ; Ellis, George Francis Rayner. The large scale structure of space-time. Cambridge : Cambridge University Press, 1973 Enllaç
Chandrasekhar, S. The Mathematical theory of black holes. New York : Oxford University Press, 1992 Enllaç
Kolb, Edward W. ; Turner, Michael S. The early universe. Reading : Addison-Wesley, 1990 Enllaç
Liddle, Andrew R. ; Lyth, D. H. Cosmological inflation and large-scale structure. Cambridge : Cambridge University Press, 2000 Enllaç
Mukhanov, V. F. Physical Foundations of Cosmology. Cambridge : Cambridge University Press, 2005 Enllaç
Electronic text
Poisson, E., An Advanced Course in General Relativity Enllaç
Hartman, T., Lectures on Quantum Gravity and Black Holes Enllaç
Townsend, P. K., Black Hole lectures @ DAMTP Enllaç
More information at: http://grad.ub.edu/grad3/plae/AccesInformePDInfes?curs=2023&assig=568435&ens=M0D0B&recurs=pladocent&n2=1&idioma=ENG
