4,732 research outputs found
On Clifford Subalgebras, Spacetime Splittings and Applications
Z2-gradings of Clifford algebras are reviewed and we shall be concerned with
an alpha-grading based on the structure of inner automorphisms, which is
closely related to the spacetime splitting, if we consider the standard
conjugation map automorphism by an arbitrary, but fixed, splitting vector.
After briefly sketching the orthogonal and parallel components of products of
differential forms, where we introduce the parallel [orthogonal] part as the
space [time] component, we provide a detailed exposition of the Dirac operator
splitting and we show how the differential operator parallel and orthogonal
components are related to the Lie derivative along the splitting vector and the
angular momentum splitting bivector. We also introduce multivectorial-induced
alpha-gradings and present the Dirac equation in terms of the spacetime
splitting, where the Dirac spinor field is shown to be a direct sum of two
quaternions. We point out some possible physical applications of the formalism
developed.Comment: 22 pages, accepted for publication in International Journal of
Geometric Methods in Modern Physics 3 (8) (2006
Exotic fermionic fields and minimal length
We investigate the effective Dirac equation, corrected by merging two
scenarios that are expected to emerge towards the quantum gravity scale.
Namely, the existence of a minimal length, implemented by the generalized
uncertainty principle, and exotic spinors, associated with any non-trivial
topology equipping the spacetime manifold. We show that the free fermionic
dynamical equations, within the context of a minimal length, just allow for
trivial solutions, a feature that is not shared by dynamical equations for
exotic spinors. In fact, in this coalescing setup, the exoticity is shown to
prevent the Dirac operator to be injective, allowing the existence of
non-trivial solutions.Comment: 9 page
Avaliação agronômica de genótipos selecionados de abacaxizeiro no ciclo sexual em 2012.
O programa de melhoramento genético do abacaxizeiro na Embrapa Mandioca e Fruticultura iniciou em 1978 com o estabelecimento do Banco Ativo de Germoplasma, seguido da caracterização de seus acessos. A partir de 1984 foram iniciadas as hibridizações, com o objetivo de gerar e selecionar genótipos com caracterÃsticas de planta e fruto iguais ou superiores a de variedades comerciais, acrescidas da resistência à fusariose e ausência de espinhos nas folhas
Desafios para a competitividade internacional.
São inúmeros os fatores competitivos e pré-competitivos que prejudicam os ganhos de eficiência na cadeia produtiva de leite e penalizam uma maior inserção do Brasil no cenário internacional. No entanto, mesmo com todas essas dificuldades, historicamente, a produção seguiu se expandindo
How the Charge Can Affect the Formation of Gravastars
In recent work we physically interpreted a special gravastar solution
characterized by a zero Schwarzschild mass. In fact, in that case, none
gravastar was formed and the shell expanded, leaving behind a de Sitter or a
Minkowski spacetime, or collapsed without forming an event horizon, originating
what we called a massive non-gravitational object. This object has two
components of non zero mass but the exterior spacetime is Minkowski or de
Sitter. One of the component is a massive thin shell and the other one is de
Sitter spacetime inside. The total mass of this object is zero Schwarzschild
mass, which characterizes an exterior vacuum spacetime. Here, we extend this
study to the case where we have a charged shell. Now, the exterior is a
Reissner-Nordstr\"om spacetime and, depending on the parameter
of the equation of state of the shell, and the charge, a
gravastar structure can be formed. We have found that the presence of the
charge contributes to the stability of the gravastar, if the charge is greater
than a critical value. Otherwise, a massive non-gravitational object is formed
for small charges.Comment: 17 pages and 7 figures, several typos corrected, accepted for
publication in JCA
Dark spinor models in gravitation and cosmology
We introduce and carefully define an entire class of field theories based on
non-standard spinors. Their dominant interaction is via the gravitational field
which makes them naturally dark; we refer to them as Dark Spinors. We provide a
critical analysis of previous proposals for dark spinors noting that they
violate Lorentz invariance. As a working assumption we restrict our analysis to
non-standard spinors which preserve Lorentz invariance, whilst being non-local
and explicitly construct such a theory. We construct the complete
energy-momentum tensor and derive its components explicitly by assuming a
specific projection operator. It is natural to next consider dark spinors in a
cosmological setting. We find various interesting solutions where the spinor
field leads to slow roll and fast roll de Sitter solutions. We also analyse
models where the spinor is coupled conformally to gravity, and consider the
perturbations and stability of the spinor.Comment: 43 pages. Several new sections and details added. JHEP in prin
Aceitabilidade sensorial de genótipos de mamoeiro do grupo "Solo".
bitstream/item/145275/1/BPD16004.pd
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