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Cosmology I - The Homogeneous and Isotropic Universe
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1 The Hubble Law
1.1 Questions, Questions, and Questions
1.2 Emitted Wavelength of Galaxies
1.3 Redshift
1.4 The Hubble Law
1.5 The Hubble Constant
1.6 Nearby Galaxies
1.7 The Big Bang
1.8 The Cosmic Time
1.9 A Simple Model
1.10 The Scale Factor
1.11 Homogeneous Expansion
1.12 Truth: The Homogeneous Expansion Theorem
1.13 Three Truths
1.14 Exercise
2 Cosmological Distances
2.1 Introduction
2.2 Comoving Distance and Physical Distance
2.3 Truth
2.4 Exercise
2.5 The Hubble Parameter
2.6 Truths
2.7 Exercise
2.8 Exercise
2.9 Distance Travelled by Light
2.10 Light Travel Time
2.11 Proper Distance
2.12 Truth
2.13 Exercise
2.14 The Particle Horizon
2.15 The Horizon, the Hubble Distance, the Hubb...
2.16 Sub-Horizon Scales and Super-Horizon Scales
2.17 Remarks
3 FRW Metric and Conformal Time
3.1 The FRW Metric
3.2 Remarks
3.3 Matrix Form
3.4 Flat Spacetime
3.5 Inverse Metric
3.6 (1,1) Form
3.7 Truth
3.8 Exercise
3.9 Remarks
3.10 Christoffel Symbols
3.11 Truths
3.12 Exercise
3.13 Exercise
3.14 Exercise
3.15 Ricci Tensor
3.16 Exercise
3.17 Exercise
3.18 EinsteinTensor
3.19 Exercise
3.20 Energy Momentum Tensor
3.21 Einstein Equations
3.22 Friedmann Equations
3.23 Exercise
3.24 Conformal Time
3.25 Remarks
3.26 Truths
3.27 Exercise
3.28 Exercise
4 Some Important Concepts
4.1 A Source and an Observer
4.2 Truth
4.3 Exercise
4.4 Truth
4.5 Exercise
4.6 Remarks
5 Friedmann Equations
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Teacher: Simerdeep Singh
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Simerdeep Singh
mycosmicschool@gmail.com
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