6,518 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
Finite volume schemes on Lorentzian manifolds
We investigate the numerical approximation of (discontinuous) entropy
solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian
manifold. Our main result establishes the convergence of monotone and
first-order finite volume schemes for a large class of (space and time)
triangulations. The proof relies on a discrete version of entropy inequalities
and an entropy dissipation bound, which take into account the manifold geometry
accurately and generalize techniques and estimates that were known in the
(flat) Euclidian setting, only. The strong convergence of the scheme then is
then a consequence of the well-posed theory recently developed by Ben-Artzi and
LeFloch for conservation laws on manifolds.Comment: 24 page
- …