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General relativity and cosmology course
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Module 7
Cosmology and the Expanding Universe
1
The Cosmological Principle and the FRW Metric
Postulate the Cosmological Principle and derive the Friedmann-Robertson-Walker (FRW) metric.
2
Deriving Friedmann Equations from EFE and FRW Metric
Apply the EFE to the FRW metric to derive the Friedmann equations.
3
Solving Friedmann Equations for Dominated Universes
Solve the Friedmann equations for universes dominated by matter, radiation, and vacuum energy (dark energy).
4
Cosmological Redshift and the Hubble-Lemaître Law
Define cosmological redshift and derive the Hubble-Lemaître law.
5
Cosmological Distance Measures: Luminosity & Angular Diameter
Define and calculate different distance measures in cosmology (luminosity, angular diameter).
6
Problems with the Big Bang Model
Explain the horizon, flatness, and monopole problems of the standard Big Bang model.
7
Inflaton Dynamics in an Expanding Universe
Introduce a scalar field (the inflaton) and derive its equations of motion in an FRW background.
8
Inflation: Solving Big Bang Puzzles
Derive the slow-roll conditions for inflation and show how inflation solves the Big Bang problems.
Previous module
Gravitational Waves
Next module
Quantum Fields in Curved Spacetime