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Relativity and Cosmology

Code 14927
Year 3
Semester S2
ECTS Credits 6
Workload TP(60H)
Scientific area Physics
Entry requirements None
Learning outcomes 1. Understanding observations with implications for cosmological conceptions
2. Understanding Relativity as the crucial physical theory for cosmology
3. To acquire a working knowledge of Relativity necessary to the understanding of Newtonian gravitation, black holes and cosmological models
4. Combining Relativity and cosmologically relevant observations into an understanding of the model of evolution of the Universe from the Big Bang to the present, and the future
Syllabus 1. Fundamental Observations and Inferences
a) The contents of the Universe
b) Homogeneity, isotropy and expansion. Hubble law
2. Newtonian Gravitation and Einsteinian Relativity
a) Newtonian Gravitation
b) General Relativity. Einstein equations
c) Robertson-Walker metric
d) Schwarzschild metric. Black holes
3. Cosmological models
a) Friedmann equations
b) Evolution with matter, radiation, curvature, cosmological constant
4. Distances and the Age of the Universe
a) Distance in an expanding Universe. Measurements
b) The Age of the Universe
5. Density of the Universe and dark matter
a) Dark matter in galaxies and in clusters
b) Dark matter and structure
c) Considerations on the nature of dark matter
6. The Big Bang and the Early Universe
a) Cosmic background radiation
b) Nucleosynthesis
c) Inflation
Main Bibliography 1. Gron O, Naess A (2011). Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained. New York: Springer
2. Henriques AB (2009). Teoria da Relatividade Geral: Uma Introdução. Lisboa: IST Press
3. Liddle A (2015). An Introduction to Modern Cosmology, 3rd ed. New York: John Wiley & Sons
4. Roos M (2015). Introduction to Cosmology, 4th ed. New York: John Wiley & Sons
Teaching Methodologies and Assessment Criteria Standard theoretical lectures
Language Portuguese. Tutorial support is available in English.
Last updated on: 2023-10-16

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