588 research outputs found
Sparling two-forms, the conformal factor and the gravitational energy density of the teleparallel equivalent of general relativity
It has been shown recently that within the framework of the teleparallel
equivalent of general relativity (TEGR) it is possible to define the energy
density of the gravitational field. The TEGR amounts to an alternative
formulation of Einstein's general relativity, not to an alternative gravity
theory. The localizability of the gravitational energy has been investigated in
a number of space-times with distinct topologies, and the outcome of these
analises agree with previously known results regarding the exact expression of
the gravitational energy, and/or with the specific properties of the space-time
manifold. In this article we establish a relationship between the expression
for the gravitational energy density of the TEGR and the Sparling two-forms,
which are known to be closely connected with the gravitational energy. We also
show that our expression of energy yields the correct value of gravitational
mass contained in the conformal factor of the metric field.Comment: 12 pages, Latex file, no figures, to be published in Gen. Rel. Gra
General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry
The Hamiltonian formulation of general relativity on a null surface is
established in the teleparallel geometry. No particular gauge conditons on the
tetrads are imposed, such as the time gauge condition. By means of a 3+1
decomposition the resulting Hamiltonian arises as a completely constrained
system. However, it is structurally different from the the standard
Arnowitt-Deser-Misner (ADM) type formulation. In this geometrical framework the
basic field quantities are tetrads that transform under the global SO(3,1) and
the torsion tensor.Comment: 15 pages, Latex, no figures, to appear in the Gen. Rel. Gra
Dirac spinor fields in the teleparallel gravity: comment on "Metric-affine approach to teleparallel gravity"
We show that the coupling of a Dirac spinor field with the gravitational
field in the teleparallel equivalent of general relativity is consistent. For
an arbitrary SO(3,1) connection there are two possibilities for the coupling of
the spinor field with the gravitational field. The problems of consistency
raised by Y. N. Obukhov and J. G. Pereira in the paper {\it Metric-affine
approach to teleparallel gravity} [gr-qc/0212080] take place only in the
framework of one particular coupling. By adopting an alternative coupling the
consistency problem disappears.Comment: 8 pages, Latex file, no figures, to appear in the Phys. Rev. D as a
Commen
Neutron Stars in Teleparallel Gravity
In this paper we deal with neutron stars, which are described by a perfect
fluid model, in the context of the teleparallel equivalent of general
relativity. We use numerical simulations to find the relationship between the
angular momentum of the field and the angular momentum of the source. Such a
relation was established for each stable star reached by the numerical
simulation once the code is fed with an equation of state, the central energy
density and the ratio between polar and equatorial radii. We also find a regime
where linear relation between gravitational angular momentum and moment of
inertia (as well as angular velocity of the fluid) is valid. We give the
spatial distribution of the gravitational energy and show that it has a linear
dependence with the squared angular velocity of the source.Comment: 19 pages, 14 figures. arXiv admin note: text overlap with
arXiv:1206.331
Space-time defects and teleparallelism
We consider the class of space-time defects investigated by Puntigam and
Soleng. These defects describe space-time dislocations and disclinations
(cosmic strings), and are in close correspondence to the actual defects that
arise in crystals and metals. It is known that in such materials dislocations
and disclinations require a small and large amount of energy, respectively, to
be created. The present analysis is carried out in the context of the
teleparallel equivalent of general relativity (TEGR). We evaluate the
gravitational energy of these space-time defects in the framework of the TEGR
and find that there is an analogy between defects in space-time and in
continuum material systems: the total gravitational energy of space-time
dislocations and disclinations (considered as idealized defects) is zero and
infinit, respectively.Comment: 22 pages, no figures, to appear in the Class. Quantum Gravit
Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
We consider the influence of a noncommutative space on the Klein-Gordon and
the Dirac oscillators. The nonrelativistic limit is taken and the
-modified Hamiltonians are determined. The corrections of these
Hamiltonians on the energy levels are evaluated in first-order perturbation
theory. It is observed a total lifting of the degeneracy to the considered
levels. Such effects are similar to the Zeeman splitting in a commutative
space.Comment: 15 pages, 2 figures, improvements and changes are added, Final
version published in IJMP
Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
In the context of teleparallel equivalent to General Relativity, we study
energy and its relevant quantities for some well-known black hole solutions.
For this purpose, we use the Hamiltonian approach which gives reasonable and
interesting results. We find that our results of energy exactly coincide with
several prescriptions in General Relativity. This supports the claim that
different energy-momentum prescriptions can give identical results for a given
spacetime. We also evaluate energy-momentum flux of these solutions.Comment: 16 pages, accepted for publication in Astrophys. Space Sc
Expressão gênica em grãos de café submetidos a diferentes tratamentos pós-colheita-uma análise preliminar.
O conhecimento sobre como os tipos de processamento pós-colheita interferem na qualidade final de bebida é essencial para que cafés com qualidades especiais possam ser desenvolvidos. Dentre as características que podem ser diretamente influenciadas pelo processamento, a composição química do grão é a de maior interesse. Fatores como a regulação da expressão de genes e a atividade de enzimas específicas são determinantes para esta composição. Neste contexto, o objetivo deste estudo preliminar foi avaliar como os processamentos por via seca e úmida afetam o padrão de expressão dos genes isocitrato liase (ICL), ?-mananase (MAN) e ?-galactosidase (GAL). Frutos cereja foram submetidos a condições de secagem natural, despolpamento e desmucilamento. A expressão dos genes foi quantificada pela metodologia de RT-PCR em tempo real. A análise comparativa da expressão dos 3 genes indicou que no processamento via seca a expressão de ICL e MAN nas sementes foi maior do que em sementes de frutos processados por via úmida. Para o gene GAL, não foram observadas diferenças expressivas no perfil de expressão em sementes dos frutos submetidos aos diferentes tratamentos. Esses resultados diferiram dos obtidos em outros estudos já descritos na literatura, em que, apesar de ter sido avaliada a expressão de genes, foram utilizadas etapas de processamento distintas das utilizadas neste trabalho. Esses resultados revelaram, portanto, que há necessidade de se padronizarem os processamentos experimentais em pesquisas visando avaliar efeitos dos tratamentos pós-colheita sobre a qualidade do café
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