Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution

Abstract

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.

arXiv comment13 pages,23 figures, Accepted in European Physical Journal C

References in corpus (15)

• String Theory and Noncommutative Geometry
• Bound States Of Strings And $p$-Branes
• Phantom energy traversable wormholes
• Feynman Path Integral on the Noncommutative Plane
• Searching for higher dimensional wormholes with noncommutative geometry
• Noncommutative Schwarzschild Black Hole and Area Law
• A theoretical construction of wormhole supported by Phantom Energy
• Solar System Tests of Higher-Dimensional Gravity
• Energetics in Condensate Star and Wormholes
• BTZ black holes inspired by noncommutative geometry
• Energy and angular momentum densities of stationary gravity fields
• Galactic rotation curves inspired by a noncommutative-geometry background
• Some new class of Chaplygin Wormholes
• Do Solar system tests permit higher dimensional general relativity?
• Quiver Gauge Theory and Extended Electric-magnetic Duality

Cited by in corpus (8)

• Exact traversable wormhole solution in bumblebee gravity
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Wormhole supported by dark energy admitting conformal motion
• Evolving topologically deformed wormholes supported in the dark matter halo
• Stability of Thin-Shell Wormholes from Noncommutative BTZ Black Hole
• Strange star with Krori-Barua potential in presence of anisotropy
• Noncommutative geometry-inspired wormholes supported by quasi-de Sitter and Chaplygin-like equations of state