On explaining the tension in the observations of the Hubble parameter by the wLTB model

Tällä hetkellä universumin laajenemisnopeudessa eli Hubblen parametrin arvossa on havaittu noin 3,6 standardipoikkeaman ero paikallisen (etäisyystikapuut) sekä globaalin (kosminen taustasäteily) mittaustavan välillä. Tässä pro gradu -tutkielmassa esitetään kosmologisesta standardimallista poiketen e...

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Main Author: Tenhu, Linda
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2018
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/59920
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author Tenhu, Linda
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Tenhu, Linda Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Tenhu, Linda Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Tenhu, Linda
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description Tällä hetkellä universumin laajenemisnopeudessa eli Hubblen parametrin arvossa on havaittu noin 3,6 standardipoikkeaman ero paikallisen (etäisyystikapuut) sekä globaalin (kosminen taustasäteily) mittaustavan välillä. Tässä pro gradu -tutkielmassa esitetään kosmologisesta standardimallista poiketen epähomogeeninen wLTB-malli, jonka avulla kyseistä eroa voidaan selittää. wLTB-mallissa pystytään ratkaisemaan Einsteinin kenttäyhtälöt eksaktisti epähomogeenisessa pallosymmetrisessä tapauksessa, mikä mahdollistaa paikasta riippuvan Hubblen parametrin arvon määrittämisen epähomogeenisen alueen, eli LTB-kuplan sisällä. Osoittautuu, että ympäristöään harvempi kupla kasvattaa paikallista Hubblen vakion arvoa ja voi siten selittää eroa havaintojen välillä. Mielivaltainen epähomogenia eikä mielivaltainen havainnoijan sijainti epähomogenian sisällä ole kuitenkaan sallittu. Tulevaisuuden haasteena on sovittaa homogeniaan kohdistuvat rajoitukset yhteen havaitun Hubblen vakion poik- keaman kanssa. A tension of 3.6 standard deviation has been observed between the local (distance ladder) and global (cosmic microwave background) measurements in the expansion rate of the universe i.e. the present-day Hubble parameter value H0. In this Master’s Thesis, depart from the Standard Model of Cosmology, an inhomogeneous cosmological wLTB model is introduced to explain the observed tension. The wLTB model enables one to solve the Einstein’s field equations exactly in an inhomogeneous but spherically symmetric case. This makes it possible to determine the current Hubble parameter value inside an inhomogeneous area called LTB bubble. It turns out that an underdense bubble increases the local Hubble parameter value and thus makes the wLTB model a possible candidate that can explain the Hubble parameter tension. However, arbitrary inhomogeneities as well as observer’s arbitrary locations inside the bubble are not allowed. In the future, the challenge is to fit the restrictions for the inhomogeneity and the Hubble parameter observational data together.
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T\u00e4ss\u00e4 pro gradu -tutkielmassa esitet\u00e4\u00e4n kosmologisesta standardimallista poiketen ep\u00e4homogeeninen wLTB-malli, jonka avulla kyseist\u00e4 eroa voidaan selitt\u00e4\u00e4. wLTB-mallissa pystyt\u00e4\u00e4n ratkaisemaan Einsteinin kentt\u00e4yht\u00e4l\u00f6t eksaktisti ep\u00e4homogeenisessa pallosymmetrisess\u00e4 tapauksessa, mik\u00e4 mahdollistaa paikasta riippuvan Hubblen parametrin arvon m\u00e4\u00e4ritt\u00e4misen ep\u00e4homogeenisen alueen, eli LTB-kuplan sis\u00e4ll\u00e4. Osoittautuu, ett\u00e4 ymp\u00e4rist\u00f6\u00e4\u00e4n harvempi kupla kasvattaa paikallista Hubblen vakion arvoa ja voi siten selitt\u00e4\u00e4 eroa havaintojen v\u00e4lill\u00e4. Mielivaltainen ep\u00e4homogenia eik\u00e4 mielivaltainen havainnoijan sijainti ep\u00e4homogenian sis\u00e4ll\u00e4 ole kuitenkaan sallittu. 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spellingShingle Tenhu, Linda On explaining the tension in the observations of the Hubble parameter by the wLTB model inhomogeneous cosmological models Hubble parameter Teoreettinen fysiikka Theoretical Physics 4024 kosmologia cosmology
title On explaining the tension in the observations of the Hubble parameter by the wLTB model
title_full On explaining the tension in the observations of the Hubble parameter by the wLTB model
title_fullStr On explaining the tension in the observations of the Hubble parameter by the wLTB model On explaining the tension in the observations of the Hubble parameter by the wLTB model
title_full_unstemmed On explaining the tension in the observations of the Hubble parameter by the wLTB model On explaining the tension in the observations of the Hubble parameter by the wLTB model
title_short On explaining the tension in the observations of the Hubble parameter by the wLTB model
title_sort on explaining the tension in the observations of the hubble parameter by the wltb model
title_txtP On explaining the tension in the observations of the Hubble parameter by the wLTB model
topic inhomogeneous cosmological models Hubble parameter Teoreettinen fysiikka Theoretical Physics 4024 kosmologia cosmology
topic_facet 4024 Hubble parameter Teoreettinen fysiikka Theoretical Physics cosmology inhomogeneous cosmological models kosmologia
url https://jyx.jyu.fi/handle/123456789/59920 http://www.urn.fi/URN:NBN:fi:jyu-201810244509
work_keys_str_mv AT tenhulinda onexplainingthetensionintheobservationsofthehubbleparameterbythewltbmodel