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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
Noncommutative Particles in Curved Spaces
We present a formulation in a curved background of noncommutative mechanics,
where the object of noncommutativity is considered as an
independent quantity having a canonical conjugate momentum. We introduced a
noncommutative first-order action in D=10 curved spacetime and the covariant
equations of motions were computed. This model, invariant under diffeomorphism,
generalizes recent relativistic results.Comment: 1+15 pages. Latex. New comments and results adde
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