1,509 research outputs found
Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution
In this paper we are searching whether the wormhole solutions exists in
different dimensional non- commutative inspired spacetimes. It is well known
that the noncommutativity of the space is an outcome of string theory and it
replaced the usual point like object by a smeared object. Here we have chosen
Lorentzian distribution as the density function in the noncommutative inspired
space- time. We have observed that the wormhole solutions exist only in four
and five dimension, however, higher than fine dimension no wormhole exists. For
five dimensional spacetime, we get a wormhole for a restricted region. In usual
four dimensional spacetime, we get a stable wormhole which is asymptotically
flat.Comment: 13 pages,23 figures, Accepted in European Physical Journal
The Dark Energy Star and Stability analysis
We have proposed a new model of dark energy star consisting of five zones
namely, solid core of constant energy density, the thin shell between core and
interior, an inhomogeneous interior region with anisotropic pressures, thin
shell and the exterior vacuum region. We have discussed various physical
properties. The model satisfies all the physical requirements. The stability
condition under small linear perturbation has also been discussed.Comment: 11 pages,16 figures, Accepted in European Physical Journal
Parametric family of SDEs driven by L\'evy noise
In this article we study the existence and uniqueness of strong solutions of
a class of parameterized family of SDEs driven by L\'evy noise. These SDEs
occurs in connection with a class of stochastic PDEs, which take values in the
space of tempered distributions . This correspondence for
diffusion processes was proved in [Rajeev, Translation invariant diffusion in
the space of tempered distributions, Indian J. Pure Appl. Math. 44 (2013),
no.~2, 231--258]
Local Quantum Uncertainty in Two-Qubit Separable States: A Case Study
Recent findings suggest, separable states, which are otherwise of no use in
entanglement dependent tasks, can also be used in information processing tasks
that depend upon the discord type general non classical correlations. In this
work, we explore the nature of uncertainty in separable states as measured by
local quantum uncertainty. Particularly in two-qubit system, we find separable
X-state which has maximum local quantum uncertainty. Interestingly, this
separable state coincides with the separable state, having maximum geometric
discord. We also search for the maximum amount of local quantum uncertainty in
separable Bell diagonal states. We indicate an interesting connection to the
tightness of entropic uncertainty with the state of maximum uncertainty.Comment: 11 pages, 2 figures, latex2e, comments welcome, to appear in qi
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