Cosmological perturbations and large scale structure

45. Quantization of cosmological perturbations. Mukhanov-Sasaki variable (Inflationary perturbations 5)

I introduce Mukhanov-Sasaki variable, show how to quantize inflationary perturbations and again calculate the power spectrum of primordial perturbations - by QFT this time.

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44. Cosmological perturbations in the presence of scalar field (Inflationary perturbations 5)

I discuss cosmological perturbation theory in the Universe where the dominant component of matter is a scalar field. It is show that spectrum of inflationary perturbations is nearly flat.

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40. Inflation: field-theoretic description (Inflationary perturbations 4)

I discuss simplest field theoretic models of inflation, dynamics of inflation at the level of background and Hamilton-Jacobi formalism for inflation.

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25. Geometry and causal structure of de Sitter space (Inflationary perturbations 4)

I discuss geometry, causal structure and behavior of QFT Green functions in de Sitter space

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24. Inflation: description in terms of hydrodynamics (Inflationary perturbations 4)

This post continues my lecture notes on large scale structure, cosmological perturbations and inflation. The last post in this series was about the problem of initial conditions in FRW cosmology. (…)

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17. Beginning inflation: problem of initial conditions in cosmology (Inflationary perturbations 4)

This is the next post in the series based on my lectures on inflationary perturbations and large scale structure given at the University of Helsinki. Today we will finally start to discuss the physics of inflation and will focus on known problems of Hot Big Bang Cosmology.

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11. Introduction into perturbation theory in general relativity 4 (Inflationary perturbations 3)

Today I am going to discuss equations driving the dynamics of cosmological perturbations. (…)

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10. Introduction into perturbation theory in general relativity 3 (Inflationary perturbations 3)

Sorry, but today’s post is going to be rather short: the end of this week is a lot busier than usual, since I am trying to finish a couple of papers. (…)

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9. Introduction into perturbation theory in general relativity 2 (Inflationary perturbations 3)

Today I will continue our discussion of the perturbation theory in general relativity (please see the previous post here); in particular, I will focus my attention on the issue of gauge invariance.
1. (…)

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8. Introduction into perturbation theory in general relativity (Inflationary perturbations 3)

Before turning to the discussion of the perturbation theory in general relativity, let me briefly remind the outline of the two previous posts (1 and 2). (…)

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7. Newtonian perturbation theory 2 (Inflationary perturbations 2)

This is the 5th post in the series based on my lectures on inflationary perturbations at the University of Helsinki. (…)

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6. Newtonian perturbation theory 1 (Inflationary perurbations 2)

This is the 4th post in the series based on my lectures on inflationary perturbations at the University of Helsinki. (…)

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5. The Universe is expanding (Inflationary perturbations 1)

This is the 3rd post in the series based on my lectures on inflationary perturbations at the University of Helsinki (previous ones can be found here and here). (…)

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4. Large scale structure of the Universe. In other wavebands (Inflationary perturbations 1)

In this post, I will briefly describe what astronomers see on the sky in wavebands other than optical as well as what observations in other wavebands are especially good for. (…)

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2. Large scale structure of the Universe. In visible light (Inflationary perturbations 1)

This post is the first one in the series devoted to discussion of the large scale structure of the Universe, inflationary cosmology and inflationary perturbation theory. (…)

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