Cosmic perturbation theory and inflation

Tässä pro gradu -tutkielmassa olen käynyt läpi yhden skalaarikentän synnyttämän kosmisen inflaation teoriaa. Tätä varten olen opiskellut kosmista häiriöteoriaa joka tutkii Friedmann-Robertson-Walker -avaruusajan ympärille kehitettyjen häiriöiden kehitystä inflaation aikana. Kosmiset häiriöt riippuva...

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Main Author: Hämäläinen, Antti
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2015
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/46146
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author Hämäläinen, Antti
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Hämäläinen, Antti Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Hämäläinen, Antti Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Hämäläinen, Antti
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description Tässä pro gradu -tutkielmassa olen käynyt läpi yhden skalaarikentän synnyttämän kosmisen inflaation teoriaa. Tätä varten olen opiskellut kosmista häiriöteoriaa joka tutkii Friedmann-Robertson-Walker -avaruusajan ympärille kehitettyjen häiriöiden kehitystä inflaation aikana. Kosmiset häiriöt riippuvat mitan valinnasta, joten olen esitellyt hyvin tunnetut mittainvariantit muuttujat, Mukhanovin-Sasakin muuttujan q sekä mukanaliikkuvan kaarevuushäiriön R. Lasken skalaari- ja tensorihäiriöiden tehospektrit sekä relevantit spektriparametrit. Lopuksi käyn läpi kaksi yksinkertaista esimerkkiä, potenssilaki-inflaatio sekä Higgs-inflaatio. In this thesis I have reviewed the basic theory of single scalar field cosmological inflation and cosmological perturbation theory. I go through the dynamics of the background Friedmann-Robertson-Walker -spacetime and then study the evolution of perturbations around the background. Cosmological perturbations in general are gauge dependent, so I introduce the well known gauge invariant variables, the Mukhanov-Sasaki variable q and the comoving curvature perturbation R. I calculate the scalar and tensor perturbation power spectra and the spectral parameters finally going through two simple examples, the power law inflation and the Higgs inflation.
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spellingShingle Hämäläinen, Antti Cosmic perturbation theory and inflation häiriöteoria Teoreettinen fysiikka Theoretical Physics 4024 kosmologia inflaatio hiukkasfysiikka suhteellisuusteoria
title Cosmic perturbation theory and inflation
title_full Cosmic perturbation theory and inflation
title_fullStr Cosmic perturbation theory and inflation Cosmic perturbation theory and inflation
title_full_unstemmed Cosmic perturbation theory and inflation Cosmic perturbation theory and inflation
title_short Cosmic perturbation theory and inflation
title_sort cosmic perturbation theory and inflation
title_txtP Cosmic perturbation theory and inflation
topic häiriöteoria Teoreettinen fysiikka Theoretical Physics 4024 kosmologia inflaatio hiukkasfysiikka suhteellisuusteoria
topic_facet 4024 Teoreettinen fysiikka Theoretical Physics hiukkasfysiikka häiriöteoria inflaatio kosmologia suhteellisuusteoria
url https://jyx.jyu.fi/handle/123456789/46146 http://www.urn.fi/URN:NBN:fi:jyu-201506012136
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