573 research outputs found
Geodesic equation in -Minkowski spacetime
In this paper, we derive corrections to the geodesic equation due to the
-deformation of curved space-time, up to the first order in the deformation
parameter a. This is done by generalizing the method from our previous paper
[31], to include curvature effects. We show that the effect of
-noncommutativity can be interpreted as an extra drag that acts on the
particle while moving in this -deformed curved space. We have derived the
Newtonian limit of the geodesic equation and using this, we discuss possible
bounds on the deformation parameter. We also derive the generalized uncertainty
relations valid in the non-relativistic limit of the -space-time.Comment: 11 pages, references adde
Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole
We obtain an exact analytic expression for the quasinormal modes of a
noncommutative massless scalar field in the background of a massive spinless
BTZ black hole up to the first order in the deformation parameter. We also show
that the equations of motion governing these quasinormal modes are identical in
form to the equations of motion of a commutative massive scalar field in the
background of a fictitious massive spinning BTZ black hole. This results hints
at a duality between the commutative and noncommutative systems in the
background of a BTZ black hole. Using the obtained results for quasinormal mode
frequencies, the area and entropy spectra for the BTZ black hole in the
presence of noncommutativity are calculated. In particular, the separations
between the neighboring values of these spectra are determined and it is found
that they are nonuniform. Therefore, it appears that the noncommutativity leads
to a non-equispaced (discrete) area and entropy spectra.Comment: 11 pages, improved version published in JHE
Effects of Noncommutativity on the Black Hole Entropy
In this paper the BTZ black hole geometry is probed with a noncommutative
scalar field which obeys the -Minkowski algebra. The entropy of the BTZ
black hole is calculated using the brick wall method. The contribution of the
noncommutativity to the black hole entropy is explicitly evaluated up to the
first order in the deformation parameter. We also argue that such a correction
to the black hole entropy can be interpreted as arising from the
renormalization of the Newton's constant due to the effects of the
noncommutativity.Comment: 18 page
Duality of massive gauge invariant theories in arbitrary space-time dimension
We show that dualization of Stueckelberg-like massive gauge theories and
models, follows form a general p-dualization of interacting
theories in d spacetime dimensions. This is achieved by a particular choice of
the external current.Comment: ReVTeX 7pages, no figures, accepted for publ. in Phys.Rev.
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