Course curriculum

  • 1

    Course Overview

    • Course Overview

    • Study Text
  • 2

    Lecture 1: Why to Study Cosmology? Established Facts about Our Universe, Maximally Symmetric Spaces

    • 1.1 Why Study Cosmology

    • 1.2 Maximally Symmetric Spaces

    • 1.3 Notes on Killing Vectors
  • 3

    Lecture 2: FRW Spacetime - Hubble's Drag, Cosmological Redshift

    • 2.1 FRW Spacetime

    • 2.2 Other Coordinate Systems

    • 2.3 Hubble Drag and Cosmic Redshift
  • 4

    Lecture 3: FRW Spacetime - Horizons, Friedmann Equations, Cosmic Inventory

    • 3.1 Horizons

    • 3.2 Friedmann Equations

    • 3.3 Cosmic Inventory

    • Tutorial 3

    • Solutions 3
  • 5

    Lecture 4: FRW Spacetime - Dynamics of Scale Factor, Local Thermal Equilibrium

    • 4.1 Dynamics of FRW

    • 4.2 Current Cosmological Model

    • 4.3 Thermodynamics in Expanding Universe

    • 4.4 Local Thermal Equilibrium

    • Tutorial 4

    • Solutions 4
  • 6

    Lecture 5: Thermodynamics in Expanding Universe - Adiabatic Expansion, Freeze Out, Thermal History

    • 5.1 Non-Relativistic Matter

    • 5.2 Adiabatic Expansion of Universe

    • 5.3 Decoupling and Freeze Out

    • 5.4 Brief History of Universe

    • Exercises 5
  • 7

    Lecture 6: Big Bang Nucleosynthesis

    • 6.1 Elements in Our Universe

    • 6.2 Big Bang Nucleosynthesis 1

    • 6.3 Big Bang Nucleosynthesis 2

    • Tutorial 6

    • Solutions 6
  • 8

    Lecture 7: First Look at CMB, Dark Matter

    • 7.1 Cosmic Microwave Background

    • 7.2 CMB Power Spectrum

    • 7.3 Dark Matter Evidence
  • 9

    Lecture 8: Dark Matter, Dark Energy

    • 8.1 Dark Matter Candidates

    • 8.2 Hot Thermal Relic

    • 8.3 Dark Energy

    • Tutorial 8

    • Solutions 8
  • 10

    Lecture 9: Cosmological Constant Problems, Inflation Paradigm, 3 Puzzles

    • 9.1 Supernovae Ia Observations

    • 9.2 Inflation Paradigm

    • 9.3 Monopole Problem

    • Exercises 9
  • 11

    Lecture 10: Single Field Slow Roll Inflation

    • 10.1 Physics of Inflation

    • 10.2 Single Field Slow Roll Inflation

    • 10.3 Which Potential

    • Tutorial 10

    • Solutions 10
  • 12

    Lecture 11: CMB Again - Ensemble of Universes, Cosmic Variance, E- and B-Modes

    • 11.1 Ensemble of Universes

    • 11.2 Cosmic Variance

    • 11.3 CMB Polarization
  • 13

    Lecture 12: BICEP 2, Inflation as a Generator of Perturbations, Time Dependant Harmonic Oscillator

    • 12.1 BICEP 2

    • 12.2 Inflation as Generator of Perturbations

    • 12.3 Time Dependant Harmonic Oscillator
  • 14

    Lecture 13: Particle Production by Time Dependent Backgrounds, Unruh Effect

    • 13.1 Quantizing Harmonic Oscillator

    • 13.2 Particle Production

    • 13.3 Unruh Effect
  • 15

    Lecture 14: Quantizing Scalar Field in FRW - Mukhanov Equation, Power Spectrum, Spectral Index

    • 14.1 Quantizing Test Scalar Field

    • 14.2 Power Spectrum

    • 14.3 Spectral Index

    • Tutorial 14

    • Solutions 14
  • 16

    Lecture 15: Primordial Power Spectrum, Summary of Current Cosmological Model

    • 15.1 Primordial Power Spectrum 1

    • 15.2 Primordial Power Spectrum 2

    • 15.3 Summary of Cosmological Model

    • Exercises 15