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Master's Dissertation
DOI
https://doi.org/10.11606/D.14.2009.tde-10092009-152504
Document
Author
Full name
Vinicius Consolini Busti
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2009
Supervisor
Committee
Lima, José Ademir Sales de (President)
Braga, João
Souza, Ronaldo Eustaquio de
Title in Portuguese
Quantificando as inomogeneidades da matéria com Supernovas e Gamma-Ray Bursts
Keywords in Portuguese
cosmologia
distâncias em cosmologia
gamma-ray bursts
inomogeneidades
supernovas
Abstract in Portuguese
Nesta dissertação estudamos como os efeitos das inomogeneidades da matéria (escura e bariônica) modificam as distâncias e afetam a determinação dos parâmetros cosmológicos. As inomogeneidades são fenomenologicamente descritas pelo parâmetro de aglomeramento alpha e quantificadas pela equação da distância proposta por ZeldovichKantowskiDyer Roeder (ZKDR). Além disso, utilizando amostras de Supernovas e Gamma-Ray Bursts, aplicamos um teste chi quadrado para vincular os parâmetros de dois modelos cosmológicos distintos, a saber: o modelo LambdaCDM plano e o modelo com criação de matéria escura fria. Para o modelo LambdaCDM plano, vinculamos os parâmetros alpha e ­OmegaM considerando um prior gaussiano para a constante de Hubble. Realizamos também uma análise detalhada envolvendo duas calibrações distintas associadas aos dados de Gamma-Ray Bursts: uma calibração para o modelo LambdaCDM plano e outra para o modelo cardassiano. Verificamos que os resultados são fracamente dependentes da calibração adotada. Uma análise conjunta envolvendo Supernovas e Gamma-Ray Bursts permitiu quebrar a degenerescência entre o parâmetro de aglomeramento alpha e o parâmetro de densidade da matéria ­OmegaM. Considerando a calibração dos Gamma-Ray Bursts para o modelo LambdaCDM plano, o melhor ajuste obtido foi alpha = 1.0 e ­OmegaM = 0.30, com os parâmetros restritos ao intervalos 0.78 < alpha < · 1.0 e 0.26 < ­OmegaM < 0.36 (2sigma). Para o modelo com criação de matéria escura consideramos também um prior gaussiano para a constante de Hubble e as amostras de Supernovas e Gamma-Ray Bursts (calibrados para o modelo LambdaCDM plano). A degenerescência entre o parâmetro alpha e o parâmetro de criação gamma foi novamente quebrada através de uma análise conjunta das 2 amostras de dados. Para o melhor ajuste obtivemos alpha = 1.0 e gamma = 0.61, com os parâmetros restritos aos intervalos 0.85 < alpha < 1.0 e 0.56 < gamma < 0.66 (2sigma).
Title in English
Quantifying the Matter Inhomogeneities with Supernovae and Gamma-Ray Bursts
Keywords in English
cosmology
distances in cosmology
gamma-ray bursts
inhomogeneities
supernovae
Abstract in English
In this dissertation we study how the effects of matter (baryonic and dark) inhomogeneities modify the distances thereby affecting the determination of cosmological parameters. The inhomogeneities are phenomenologically described by the clumpiness parameter alpha and quantified through the equation distance proposed by ZeldovichKantowskiDyer Roeder (ZKDR). Further, by using Supernovae and Gamma-Ray Bursts separately, a chi-squared analysis was performed to constrain the parameter space for two distinct cosmological models, namely: the flat LambdaCDM model and the cold dark matter creation model. For the flat LambdaCDM model we have constrained the parameters alpha and ­OmegaM by considering a Gaussian prior for the Hubble parameter. A detailed analysis was also performed involving two different calibrations associated to the Gamma-Ray Bursts data: a calibration for the flat LambdaCDM model as well as for the cardassian model. We have verified that the results are weakly dependent on the adopted calibration. A joint analysis involving Supernovae and Gamma-Ray Bursts allowed us to break the degenerescence between the clumpiness parameter alpha and the matter density parameter ­OmegaM. By considering the calibration for the flat LambdaCDM model, the best fits obtained were equal to alpha = 1.0 and ­OmegaM = 0.30 with the parameters restricted on the intervals 0.78 < alpha < 1.0 and 0.26 < ­OmegaM < 0.36 (2sigma). For the dark matter creation model we have also adopted a Gaussian prior for the Hubble constant and the Supernovae and Gamma-Ray Bursts (calibrated for the flat LambdaCDM model) samples. The degenerescence between the clumpiness parameter alpha and the creation parameter gamma was again broken trough a joint analysis of the two data sample. For the best fits we have obtained alpha = 1.0 and gamma = 0.61 with the parameters restricted on the intervals 0.85 < alpha < 1.0 and 0.56 < gamma < 0.66 (2sigma).
 
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Publishing Date
2010-01-28
 
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