814 research outputs found
On Non-commutative Corrections of Gravitational Energy in Teleparallel Gravity
In this work we use the theory of Teleparallelism Equivalent to General
Relativity based in non-commutative space-time coordinates. In this context, we
write the corrections of the Schwarzschild solution. As a important result, we
find the corrections of the gravitational energy in the realm of teleparallel
gravity due to the non-commutativity of space-time. Then we interpret such
corrections as a manifestation of quantum theory in gravitational field.Comment: 11 pages, no figure
On Teleparallel Quantum Gravity in Schwarzschild Space-Time
In this article we present the quantization process for Schwarzschild
space-time in the context of Teleparallel gravity. In order to achieve such a
goal we use the Weyl formalism that establishes a well defined correspondence
between classical quantities which are realized by functions and quantum ones
which are realized by operators. In the process of quantization we introduce a
fundamental constant that is used to construct what we call the quantum of
matter by the imposition of periodic conditions over the eigenfunction.Comment: Accepted in Advances in High Energy Physic
On the representation dimension of some classes of algebras
We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225]; and (b) Trivial extensions of iterated tilted algebras.Fil: Ulhoa Coelho, Flavio Ulhoa. Universidade de Sao Paulo; BrasilFil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones CientÃficas y Técnicas. Centro CientÃfico Tecnológico Conicet - BahÃa Blanca. Instituto de Matemática BahÃa Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática BahÃa Blanca; Argentin
On FRW Model in Conformal Teleparallel Gravity
In this paper we use the conformal teleparallel gravity to study an isotropic
and homogeneous Universe which is settled by the FRW metric. We solve the field
equations and we obtain the behavior of some cosmological parameters such as
scale factor, deceleration parameter and the energy density of the perfect
fluid which is the matter field of our model. The field equations, that we
called modified Friedmann equations, allow us to define a dark fluid, with dark
energy density and dark pressure, responsible for the acceleration in the
Universe.Comment: Accepted in EPJ
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