Condições de energia de hawking e ellis e a equação de raychaudhuri

In the Einstein s theory of General Relativity the field equations relate the geometry of space-time with the content of matter and energy, sources of the gravitational field. This content is described by a second order tensor, known as energy-momentum tensor. On the other hand, the energy-momentum tensors that have physical meaning are not specified by this theory. In the 700s, Hawking and Ellis set a couple of conditions, considered feasible from a physical point of view, in order to limit the arbitrariness of these tensors. These conditions, which became known as Hawking-Ellis energy conditions, play important roles in the gravitation scenario. They are widely used as powerful tools for analysis; from the demonstration of important theorems concerning to the behavior of gravitational fields and geometries associated, the gravity quantum behavior, to the analysis of cosmological models. In this dissertation we present a rigorous deduction of the several energy conditions currently in vogue in the scientific literature, such as: the Null Energy Condition (NEC), Weak Energy Condition (WEC), the Strong Energy Condition (SEC), the Dominant Energy Condition (DEC) and Null Dominant Energy Condition (NDEC). Bearing in mind the most trivial applications in Cosmology and Gravitation, the deductions were initially made for an energy-momentum tensor of a generalized perfect fluid and then extended to scalar fields with minimal and non-minimal coupling to the gravitational field. We also present a study about the possible violations of some of these energy conditions. Aiming the study of the single nature of some exact solutions of Einstein s General Relativity, in 1955 the Indian physicist Raychaudhuri derived an equation that is today considered fundamental to the study of the gravitational attraction of matter, which became known as the Raychaudhuri equation. This famous equation is fundamental for to understanding of gravitational attraction in Astrophysics and Cosmology and for the comprehension of the singularity theorems, such as, the Hawking and Penrose theorem about the singularity of the gravitational collapse. In this dissertation we derive the Raychaudhuri equation, the Frobenius theorem and the Focusing theorem for congruences time-like and null congruences of a pseudo-riemannian manifold. We discuss the geometric and physical meaning of this equation, its connections with the energy conditions, and some of its several aplications.

Teoria cinética não extensiva: efeitos físicos em gases e plasmas

The standard kinetic theory for a nonrelativistic diluted gas is generalized in the spirit of the nonextensive statistic distribution introduced by Tsallis. The new formalism depends on an arbitrary q parameter measuring the degree of nonextensivity. In the limit q = 1, the extensive Maxwell-Boltzmann theory is recovered. Starting from a purely kinetic deduction of the velocity q-distribution function, the Boltzmann H-teorem is generalized for including the possibility of nonextensive out of equilibrium effects. Based on this investigation, it is proved that Tsallis' distribution is the necessary and sufficient condition defining a thermodynamic equilibrium state in the nonextensive context. This result follows naturally from the generalized transport equation and also from the extended H-theorem. Two physical applications of the nonextensive effects have been considered. Closed analytic expressions were obtained for the Doppler broadening of spectral lines from an excited gas, as well as, for the dispersion relations describing the eletrostatic oscillations in a diluted electronic plasma. In the later case, a comparison with the experimental results strongly suggests a Tsallis distribution with the q parameter smaller than unity. A complementary study is related to the thermodynamic behavior of a relativistic imperfect simple fluid. Using nonequilibrium thermodynamics, we show how the basic primary variables, namely: the energy momentum tensor, the particle and entropy fluxes depend on the several dissipative processes present in the fluid. The temperature variation law for this moving imperfect fluid is also obtained, and the Eckart and Landau-Lifshitz formulations are recovered as particular cases

Teoria semi-clássica para super rede magnética formada por materiais ferromagnético e antiferromagnético

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Propriedades críticas de sistemas fora do equilíbrio via simulação Monte Carlo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Elétrons fortemente correlacionados na vizinhança de uma transição de fase quântica

The aim of this work is to derive theWard Identity for the low energy effective theory of a fermionic system in the presence of a hyperbolic Fermi surface coupled with a U(1) gauge field in 2+1 dimensions. These identities are important because they establish requirements for the theory to be gauge invariant. We will see that the identity associated Ward Identity (WI) of the model is not preserved at 1-loop order. This feature signalizes the presence of a quantum anomaly. In other words, a classical symmetry is broken dynamically by quantum fluctuations. Furthermore, we are considering that the system is close to a Quantum Phase Transitions and in vicinity of a Quantum Critical Point the fermionic excitations near the Fermi surface, decay through a Landau damping mechanism. All this ingredients need to be take explicitly to account and this leads us to calculate the vertex corrections as well as self energies effects, which in this way lead to one particle propagators which have a non-trivial frequency dependence

Contribuições da teoria histórico-cultural para o processo de avaliação psicoeducacional

Cet article a comme objectif présenter la contribution de la Psychologie Historique-Culturelle pour l'analyse critique de l'évaluation psychoéducationnel traditionnel et postuler les fondements pour la nouvelle modalité évaluative. Cette proposition se justifie à cause de l'actuelle révitalisation de l'usage des testes padronisés pour la mensuration des fonctions psychologiques, dues à la vulgarisation de la neuropsychologie. Historiquement les testes padronisés servent comme instrument pour attester cientifiquement l'idéologie de l'égalité entre les hommes dans la societé capitaliste que se maintient à travers de l'expropriation et de l'exclusion. En outre, il existe une forte tendence à attendre que les résultats expliquent l'intelligence comme inée ou considèrent les prédispositions héréditaires pour apprendre, ce qu'on oppose à la comprehénsion que les fonctions mentales sont formées dans le proccès de développement historique-social à travers l'appropriation de la culture humaine. Il est nécessaire donc une évaluation qui considère les médiations sociales (des instruments et des signes) comme constituants des fonctions psychologiques encourageant le développement de tous les individus et la non légitimation de l'exclusion sociale.

Uma análise crítica dos ideários pedagógicos contemporâneos à luz da teoria de A. N. Leontiev

O presente artigo objetiva demonstrar o alcance das pedagogias do aprender a aprender (DUARTE, 2001), uma vez que elas fundamentam as propostas educacionais no âmbito nacional e no internacional, na atualidade; bem como apresentar suas principais premissas, que mantêm sua filiação ao pragmatismo e ao irracionalismo e, no limite, submetem o desenvolvimento humano à ordem do capital. Tais proposições se contrapõem ao objetivo humanizador da educação escolar pressuposto na produção teórica do psicólogo soviético Alexis Leontiev. Como resultados, temos que, dessas produções, é possível extrair subsídios para o enfrentamento do processo de esvaziamento do ensino escolar e do papel do professor engendrado pelas referidas pedagogias. Além disso, pretendese evidenciar a impossibilidade de aproximações entre as produções da psicologia histórico-cultural com outras correntes pedagógicas que estão a serviço da legitimação e do revigoramento da sociedade capitalista.

A teoria de Kohlberg sobre o desenvolvimento do raciocínio moral e os instrumentos de avaliação de juízo e competência moral em uso no Brasil

O presente artigo tem por objetivo abordar as bases, finalidades e composição de dois instrumentos de avaliação de juízo moral: a Moral Judgment Interview (MJI) e o Defining Issues Test (DIT), e um de competência moral: o Moral Judgment Test (MJT). Retoma a teoria do desenvolvimento moral de Kohlberg que fundamenta esses instrumentos, assim como os últimos estudos realizados com os mesmos. A MJI é uma entrevista semiestruturada que avalia o nível de juízo moral. O DIT é um teste objetivo que mede a proporção de respostas pós-convencionais. O MJT é um instrumento objetivo, que avalia a competência moral. Destaca-se a crescente utilização desses instrumentos em pesquisas sobre moralidade.

A percepção da fiscalização dos contratos de mão de obra terceirizada pelos agentes envolvidos nesse processo no âmbito da Universidade Federal do Rio Grande do Norte: uma análise sob o modelo do principal-agente

Outsourcing has emerged as one of the new ways of guiding the work. For its advantages and be consistent with the paradigms of managerial reform, outsourcing also started to be used in the Public Administration. However, taking into account the particularities of the latter, some issues are relevant when outsourcing concluded with the State. Gains notoriety, for example, the step of monitoring these contracts, to the extent that, from this activity, we can avoid the negative effects of outsourcing like the fact that the state will pay for labor and wage liens that are obligation of the company providing the services. This study aims to understand the perception that this process is under the Federal University of Rio Grande do Norte, from the point of view of different stakeholders, also explaining the motivations that these agents have to perform the supervisory process. As a theoretical basis was used the Agency Theory, which reinforces the supervisory activities as a necessary means to minimize moral hazard and adverse selection, seeking to understand not only the different motivations tax contracts to properly perform their duties, but also analyze other phenomena arising from this contractual relationship. To achieve the proposed objectives, were taken a literature review and a presentation of how to organize the management and oversight of contracts in UFRN. The methodological procedures included questionnaires and interviews with those involved in the process. After analyzing the results obtained in the survey instruments , and also based on the laws, regulations and instructions governing the procurement process within the UFRN, it was concluded that the process of overseeing the outsourcing of labor contracts in UFRN is not fully institutionalized, some points should be strengthened in order to have the consolidation of this process, highlighting the need for training of UFRN servers that act as tax, the knowledge that the contractual penalties are applied effectively, the need that there is a supervisor of tax of contractors and also the realization of the rotation system of outsourced employees