O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

Anisotropia magnética em nanofilmes com assimetria cristalográfica

This Thesis comprises a theoretical study about the influence of the magnetocrystalline anisotropy on the static and dynamic magnetic properties of nanofilms: monolayers and trilayers coupled through the bilinear and biquadratic exchange fields, for situations in which the systems are grown in unusual [hkl] asymmetric directions. Using a theory based on a realistic phenomenological model for description of nanometric systems, we consider the total free magnetic energy including the Zeeman interaction, cubic and uniaxial anisotropies, demagnetizing and surface anysotropy energies, as well as the exchange terms. Numerical calculations are conducted by minimizing the total magnetic energy from the determination of equilibrium static configurations. We consider experimental parameters found in the literature to illustrate our results for Fe/Cr/Fe trilayer systems. In particular, a total of six different magnetic scenarios are analyzed for three regimens of exchange fields and the [211] and [321] asymmetric growth directions. After numerically minimize the total energy, we use the equilibrium configurations to calculate magnetization and magnetoresistance curves with the respective magnetic phases and corresponding critical fields. These results are also used to establish the boundary for occurrence of saturated states. Within the context of the spin waves, we solve the equation of motion for these systems in order to find the respective associated dispersion relations. The results show similar magnetization and magnetoresistance curves for both [211] and [321] growth scenarios, including an equivalent magnetic transition behavior. However, the combination of those peculiar symmetries and influence of the exchange energies results in attractive properties, including the generation of magnetic states as a function of the asymmetric degree imposed in the [hkl] growth orientations. There is also an increasing incompatibility between the values of saturation fields of magnetization and magnetoresistance for the cases in which a magnetic field acts along intermediate cubic anisotropic axes, particularly in the situations where the bilinear and biquadratic exchange fields are comparable. The dispersion relations and static results are consistent, the corresponding magnetic states are also present in both acoustic and optical modes. Furthermore, Goldstone excitations are also observed for that particular cases of a magnetic field acting in the intermediate axes, an effect related to transitions of second order and to the spontaneous symmetry breaking imposed by the combination of the biquadratic energy with the cubic and uniaxial anisotropies.

Recursos intangíveis de um destino turístico: um estudo de desempenho da cidade de Natal tendo como base a teoria das capacidades dinâmicas

O objetivo desta tese foi analisar os recursos intangíveis de um destino turístico. Foi feito um estudo de desempenho da cidade de Natal tendo como base a teoria das capacidades dinâmicas. Inicialmente, foi desenvolvido um instrumento de pesquisa para oportunizar a construção de um modelo de medida com vistas à captação de variáveis latentes para os recursos intangíveis existentes no setor do turismo em Natal-RN. Em seguida, foi realizada uma análise dos recursos intangíveis que são evidenciados pelos turistas acerca da cidade. Finalmente, foi feita a investigação de um modelo de estrutura que estabeleceu as relações entre as variáveis latentes dos recursos intangíveis e a percepção de desempenho do turismo na cidade de Natal. Procedeu-se uma revisão de literatura para construção de um modelo inicial acerca dos ativos intangíveis dentro da teoria das capacidades e foram relacionados dez recursos, quais sejam: recursos humanos prestadores de serviços; recursos humanos como gestores; cultura local; conservação do meio ambiente; know-how empresarial; inovação empresarial; tecnologia; marca; preço; e promoção. Estes dez recursos, em conjunto, seriam responsáveis pelo desempenho do destino turístico. Após ser realizada uma análise de equações estruturais, apenas quatro recursos manifestaram relações com o desempenho: marca; cultura; conservação do meio ambiente; e preço. Análisando dos dados, verificou-se que a variável desempenho positivo da cidade na ótica do turista se manifestou fortemente e foi influenciada de forma forte pela cultura local, marca e conservação do meio ambiente em conjunto. O preço foi influenciado pelo desempenho positivo mostrando que o turista sente que o preço pago foi satisfatório diante dos atributos do destino Provavelmente, isso seja um ponto positivo muito forte para o destino turístico de Natal, pois, em termos de recursos intangíveis e de juntos formarem capacidades, eles são inimitáveis, raros e são capazes de se ajustarem às mudanças organizacionais e ambientais, para reconfigurar os ativos e as estruturas de um destino, corroborando, assim, com a teoria das capacidades dinâmicas. Esses recursos da cidade de Natal, como destino turístico, são únicos e provavelmente têm um peso muito maior para o desempenho da cidade do que problemas existentes na localidade. Logo, esses atributos devem ser estimulados a continuar crescendo e se modificando de acordo com as exigências atuais e futuras de consumo