60,146 research outputs found
Classification of Energy Momentum Tensors in Dimensional Space-times: a Review
Recent developments in string theory suggest that there might exist extra
spatial dimensions, which are not small nor compact. The framework of a great
number of brane cosmological models is that in which the matter fields are
confined on a brane-world embedded in five dimensions (the bulk). Motivated by
this we review the main results on the algebraic classification of second order
symmetric tensors in 5-dimensional space-times. All possible Segre types for a
symmetric two-tensor are found, and a set of canonical forms for each Segre
type is obtained. A limiting diagram for the Segre types of these symmetric
tensors in 5-D is built. Two theorems which collect together some basic results
on the algebraic structure of second order symmetric tensors in 5-D are
presented. We also show how one can obtain, by induction, the classification
and the canonical forms of a symmetric two-tensor on n-dimensional (n > 5)
spaces from its classification in 5-D spaces, present the Segre types in n-D
and the corresponding canonical forms. This classification of symmetric
two-tensors in any n-D spaces and their canonical forms are important in the
context of n-dimensional brane-worlds context and also in the framework of 11-D
supergravity and 10-D superstrings.Comment: LaTex2e, 18 pages. To appear in Braz.J.Phys (2004
Antiresonance and interaction-induced localization in spin and qubit chains with defects
We study a spin chain with an anisotropic XXZ coupling in an external field.
Such a chain models several proposed types of a quantum computer. The chain
contains a defect with a different on-site energy. The interaction between
excitations is shown to lead to two-excitation states localized next to the
defect. In a resonant situation scattering of excitations on each other might
cause decay of an excitation localized on the defect. We find that destructive
quantum interference suppresses this decay. Numerical results confirm the
analytical predictions.Comment: Updated versio
Vector constants of motion for time-dependent Kepler and isotropic harmonic oscillator potentials
A method of obtaining vector constants of motion for time-independent as well
as time-dependent central fields is discussed. Some well-established results
are rederived in this alternative way and new ones obtained.Comment: 18 pages, no figures, regular Latex article forma
The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
In this paper we investigate statistical entropy of a 3-dimensional rotating
acoustic black hole based on generalized uncertainty principle. In our results
we obtain an area entropy and a correction term associated with the
noncommutative acoustic black hole when introduced in the generalized
uncertainty principle takes a specific value. However, in this method, it is
not needed to introduce the ultraviolet cut-off and divergences are eliminated.
Moreover, the small mass approximation is not necessary in the original
brick-wall model.Comment: 9 pages, no figures; version to appear in PLB. arXiv admin note:
substantial text overlap with arXiv:1210.773
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