Scaler radiation emitted from a source rotating around a black hole

We analyse the scalar radiation emitted from a source rotating around a Schwarzschild black hole using the framework of quantum held theory at the tree level. We show that for relativistic circular orbits the emitted power is about 20-30% smaller than what would be obtained in Minkowski spacetime. We also show that most of the emitted energy escapes to infinity. Our formalism can readily be adapted to investigate similar processes.

Duality between coordinates and Dirac field

The duality between the Cartesian coordinates on the Minkowski space-time and the Dirac field is investigated. Two distinct possibilities to define this duality are shown to exist. In both cases, the equations satisfied by prepotentials are of second order. (C) 2000 Elsevier B.V. B.V. All rights reserved.

Gravitation as anholonomy

A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenbock connection. In a tetrad frame, that torsion is just the anholonomy of that frame. The infinitely many tetrad fields taking the Lorentz metric into a given Riemannian metric differ by point-dependent Lorentz transformations. Inertial frames constitute a smaller infinity of them, differing by fixed-point Lorentz transformations. Holonomic tetrads take the Lorentz metric into itself, and correspond to Minkowski flat spacetime. An accelerated frame is necessarily anholonomic and sees the electromagnetic field strength with an additional term.

Extended 2D generalized dilaton gravity theories

We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2D relativity principle, which introduces a non-trivial centre in the 2D Poincare algebra. Then we work out the reduced phase space of the anomaly-free 2D relativistic particle, in order to show that it lives in a noncommutative 2D Minkowski space. Moreover, we build a Gaussian wave packet to show that a Planck length is well defined in two dimensions. In order to provide a gravitational interpretation for this noncommutativity, we propose to extend the usual 2D generalized dilaton gravity models by a specific Maxwell component, which guages the extra symmetry associated with the centre of the 2D Poincare algebra. In addition, we show that this extension is a high energy correction to the unextended dilaton theories that can affect the topology of spacetime. Further, we couple a test particle to the general extended dilaton models with the purpose of showing that they predict a noncommutativity in curved spacetime, which is locally described by a Moyal star product in the low energy limit. We also conjecture a probable generalization of this result, which provides strong evidence that the noncommutativity is described by a certain star product which is not of the Moyal type at high energies. Finally, we prove that the extended dilaton theories can be formulated as Poisson-Sigma models based on a nonlinear deformation of the extended Poincare algebra.

Stochastic quantization of real-time thermal field theory

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Alternative fidelity measure between quantum states

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Quantization of the Proca field in the Rindler wedge and the interaction of uniformly accelerated currents with massive vector bosons from the Unruh thermal bath

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A multimetric index based on fish fauna for the evaluation of the biotic integrity of streams at a mesohabitat scale

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A PONTUAÇÃO E A DEMARCAÇÃO DE ASPECTOS RÍTMICOS da LINGUAGEM

Neste artigo, discute-se a percepção de alguns estudiosos de que a pontuação demarca aspectos rítmicos da linguagem. Num primeiro momento, destaca-se a intuição dos estudiosos: (a) sobre aspectos métricos do ritmo (como simetria rítmica) e (b) tentativas de reprodução da linguagem (como os movimentos respiratórios, a alternância de características prosódicas da fala, a sensação de satisfação de expectativas e a de quebra de expectativas). Num segundo momento, destaca-se a intuição sobre aspectos do ritmo mais ligados a características da organização da linguagem em sua expressão escrita (como paralelismos rítmicos e unidades de idéias mais extensas)

Entrenamiento de la visualización espacial mediante ejercicios informatizados de dibujo técnico

Neste trabalho descreve-se a construção, a aplicação e os resultados obtidos numa bateria de exercícios informatizados para treinamento da visualização espacial de estudantes de Engenharia. A bateria contém quatro exercícios baseados em tarefas muito comuns do ensino fundamental de desenho técnico. Cada exercício é composto por 18 itens com quatro opções de respostas das quais apenas uma é correta. Após responder a cada item o aluno recebe um feed-back imediato, com a demonstração da precisão da sua resposta. O formato de resposta dos exercícios denomina-se Responder até acertar, uma vez que se a resposta é incorreta, o aluno recebe a informação da pontuação obtida. Para avaliar a influencia do treinamento na visualização espacial foram administrados testes dessa aptidão no começo e no final do curso de desenho técnico. As figuras dos exercícios e os testes foram construídas com AutoCad e a programação foi realizada com Revolution Studio 2. Utilizaram-se vários modelos para obter as medidas: Partial Credit Model (Masters, 1982) e Rasch Model (Rasch, 1960). Observou-se que os alunos apresentaram uma melhora moderada em visualização espacial.

UNIFORMLY ACCELERATED FINITE-TIME DETECTORS

The behavior of uniformly accelerated detectors in the Minkowski and Rindler vacua is analyzed when the detector is coupled to a scalar field during a finite amount of time T. We point out that the logarithmic ultraviolet divergences reported in the literature are due to the instantaneous switching of the detector. We explicitly show this by considering a detector switched on and off continuously. The usual Planckian spectrum for the excitation probability is recovered in the limit T --> infinity.

Structure of potentials with N higgs doublets

Extensions of the standard model with N Higgs doublets are simple extensions presenting a rich mathematical structure. An underlying Minkowski structure emerges from the study of both variable space and parameter space. The former can be completely parametrized in terms of two future lightlike Minkowski vectors with spatial parts forming an angle whose cosine is -(N-1)(-1). For the parameter space, the Minkowski parametrization enables one to impose sufficient conditions for bounded below potentials, characterize certain classes of local minima, and distinguish charge breaking vacua from neutral vacua. A particular class of neutral minima presents a degenerate mass spectrum for the physical charged Higgs bosons.

CLOSED SPACES IN COSMOLOGY

This paper deals with two aspects of relativistic cosmologies with closed spatial sections. These spacetimes are based on the theory of general relativity, and admit a foliation into space sections S(t), which are spacelike hypersurfaces satisfying the postulate of the closure of space: each S(t) is a three-dimensional closed Riemannian manifold. The topics discussed are: (i) a comparison, previously obtained, between Thurston geometries and Bianchi-Kantowski-Sachs metrics for such three-manifolds is here clarified and developed; and (ii) the implications of global inhomogeneity for locally homogeneous three-spaces of constant curvature are analyzed from an observational viewpoint.

Some remarks on the conformal group

It is shown that the local isomorphism between the conformal group of Minkowski spacetime and the group SO(4,2) makes sense only if one eliminates from SO(4,2) one of the Sitter boosts contained in it. © 1992.

On the parameters of the Lewis metric for the Lewis class

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)