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Cosmology and Black Holes

Code 13329
Year 1
Semester S2
ECTS Credits 10
Workload OT(30H)/TP(30H)
Scientific area Física e Matemática
Entry requirements ...
Learning outcomes The general objective of this CU is to present to the student a modern view about cosmology and black holes. The adopted approach aims to prepare the students to develop investigation in topics related to cosmology or black holes.
At the end of this CU the student should be able to
- identify the main topics of current investigation about cosmology and black holes
- analyze mathematical models, their corresponding solutions, in several aspects of the cosmological evolution
- analyze mathematical models which describe black holes
- read and replicate the calculations of scientific articles related to cosmology and black holes
- develop autonomous and original thinking about the topics studied
Syllabus 1. Homogeneous and isotropic cosmology
(a) Isotropy and homogeneity: observations and modelling
(b) Cosmological model dynamics
(c) Cosmological horizon
(d) Universe evolution
2. Quantum scalar fields in cosmological contexts
(a) Observables, Weyl algebra, quasi-free states and Fock representations
(b) Quantum states in Robertson-Walker spacetime
(c) The quantum scalar field in the de Sitter space
(d) Hadamard states, adiabatic states and the energy-momentum
3. Inflationary models and phenomenology
(a) Big bang problems and inflation
(b) Inflationary dynamics and inflaton candidates
(c) Reheating after inflation
(d) Quantum fluctuations and structure formation
(e) Cosmic microwave background power spectrum
4. Black holes
(a) Spherical symmetry
(b) Schwartzschild solution
(c) Kruskal extension
(d) Event, Killing and bifurcate Killing horizons
(e) Black holes and Thermodynamics
5. Unruh effect and Hawking effect
(a) Unruh effect in flat spacetime
(b) Unruh effect in curved spacetime
(c) Hawking effect
(d) Black holes and information
Main Bibliography D. Baumann, TASI Lectures on Inflation, eprint arXiv:0907.5424
N. Birrel and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge University Press, 1994
S. Fulling, Aspects of Quantum Field Theory in Curved Space-times, Cambridge University Press, 1989
C. Milner, K. Thorpe and J. Wheeler, Gravitation (W. H. Freeman and Company, 1973)
V. F. Mukhanov and S. Winitzki, Quantum Effects in Gravity, Cambridge University Press, 2007
V. Mukhanov, Physical Foundations of Cosmology, Cambridge University Press, 2005
L. Parker and D. Toms, Quantum Field Theory in Curved Space-time, Cambridge University Press, 2009
J. A. Peacock, Cosmological Physics, Cambridge University Press, 1999
R. M. Wald, General Relativity, The University of Chicago Press, 1989
R. M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole
Thermodynamics, The University of Press Chicago, 1994
S. Weinberg, Cosmology, Oxford University Press, 2008
Language Portuguese. Tutorial support is available in English.
Last updated on: 2020-06-29

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