Submitted by Alexandre Pinho dos Santos Souza null (alexandre.pinho510@gmail.com) on 2016-10-20T18:04:06Z No. of bitstreams: 1 Thesis_Final_Cut.pdf: 1024756 bytes, checksum: 359153fd460f589a2a0359f05ca87b3d (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-10-26T18:50:11Z (GMT) No. of bitstreams: 1 souza_aps_dr_ilha.pdf: 1024756 bytes, checksum: 359153fd460f589a2a0359f05ca87b3d (MD5) / Made available in DSpace on 2016-10-26T18:50:11Z (GMT). No. of bitstreams: 1 souza_aps_dr_ilha.pdf: 1024756 bytes, checksum: 359153fd460f589a2a0359f05ca87b3d (MD5) Previous issue date: 2016-08-31 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Dentro da cosmologia, o modelo ΛCDM é considerado, pela comunidade científica, como aquele que melhor descreve o universo. Todavia, tal modelo sofre de alguns males que ainda precisam ser sanados. Entre eles se destacam o problema da constante cosmológica e o problema da coincidência cósmica. Atribui-se, neste modelo, a expansão acelerada do universo a um ente de origem desconhecida, chamado de energia escura. Parte da solução destes problemas está intimamente ligado em saber a natureza da energia escura. Por outro lado, devido a propriedades intrínsecas do espinor ELKO, faz-se possível atribuir ao mesmo o papel de energia escura. Deste modo, constrói-se aplicações cosmológicas do ELKO que possibilitem a resolução completa ou parcial dos problemas mencionados. Estas aplicações consistem basicamente na análise do sistemas de equações de Friedmann oriundas da anexação do Lagrangeano do ELKO na ação de Einstein-Hilbert. Dentro desse sistema se insere a mão o possível decaimento do ELKO em outros elementos que constituem o universo. Com este se alivia o problema da coincidência cósmica, enquanto que se confirma que o ELKO pode figurar como energia escura por meio dos resultados do sistema geral. Ao fim do trabalho se observa uma outra aplicação do ELKO, desta vez no cenário cosmológico de Einstein-Cartan. Neste se mostra que o modelo cosmológico que contém o ELKO como energia escura, e na presença de termo de torção, é análogo ao modelo cosmológico Λ(t). / In cosmology the ΛCDM model is the most accepted way to describe the universe. However, this model suffers some problems that have to be solved. Namely there are two of them which are attached in this thesis. They are the cosmic coincidence and the cosmological constant problem. Due this model it is possible to relate the universe’s accelerated expansion to dark energy. Part of solving these problems pass through knowing the origin of dark energy. It is known that the spinor ELKO has some fundamental properties that able scientists to connect them to dark universe elements, e.g. dark energy. So, some applications of ELKO in cosmology have been made in order to explore this possibility and to solve those fundamental problems. These application are based on analyzing ELKO in dynamical systems formed by Friedmann’s equations, where these equations comes from putting ELKO’s Lagranian in the Einstein-Hilbert action. In this system it is inserted a term of decaying. With such term it is possible to alleviate cosmic coincidence problem. On the other hand it is also possible to justify ELKO as dark energy as wished at the beginning. Last but not least, another application of ELKO in cosmology has been investigated. For such case is was shown that, with some considerations and approximations, ELKO in cosmology allied with Einstein-Cartan formalism can mimic Λ(t) cosmology results.

<p>The propagation of light beams originating from synthetic ‘Type Ia’ supernovae, through an inhomogeneous universe with simplified dynamics, is simulated using a Monte-Carlo Ray-Tracing method. The accumulated statistical (redshift-magnitude) distribution for these synthetic supernovae observations, which is illustrated in the form of a Hubble diagram, produces a luminosity profile similar to the form predicted for a Dark-Energy dominated universe. Further, the amount of mimicked Dark-Energy is found to increase along with the variance in the matter distribution in the universe, converging at a value of Ω_X ≈ 0.7.</p><p>It can be thus postulated that at least under the assumption of simplified dynamics, it is possible to replicate the observed supernovae data in a universe with inhomogeneous matter distribution. This also implies that it is demonstrably not possible to make a direct correspondence between the observed luminosity and redshift with the distance of a cosmological source and the expansion rate of the universe, respectively, at a particular epoch in an inhomogeneous universe. Such a correspondences feigns an apparent variation in dynamics, which creates the illusion of Dark-Energy.</p>

The propagation of light beams originating from synthetic ‘Type Ia’ supernovae, through an inhomogeneous universe with simplified dynamics, is simulated using a Monte-Carlo Ray-Tracing method. The accumulated statistical (redshift-magnitude) distribution for these synthetic supernovae observations, which is illustrated in the form of a Hubble diagram, produces a luminosity profile similar to the form predicted for a Dark-Energy dominated universe. Further, the amount of mimicked Dark-Energy is found to increase along with the variance in the matter distribution in the universe, converging at a value of ΩX ≈ 0.7. It can be thus postulated that at least under the assumption of simplified dynamics, it is possible to replicate the observed supernovae data in a universe with inhomogeneous matter distribution. This also implies that it is demonstrably not possible to make a direct correspondence between the observed luminosity and redshift with the distance of a cosmological source and the expansion rate of the universe, respectively, at a particular epoch in an inhomogeneous universe. Such a correspondences feigns an apparent variation in dynamics, which creates the illusion of Dark-Energy.