Searching for higher dimensional wormholes with noncommutative geometry

Abstract

Noncommutative geometry, an offshoot of string theory, replaces point-like structures with smeared objects and has recently been extended to higher dimensions. The purpose of this letter is to obtain wormhole solutions with this extended noncommutative geometry as a background. It is found through this investigation that wormhole solutions exist in the usual four, as well as in five dimensions, but they do not exist in higher-dimensional spacetimes.

13 pages and 10 figures. A typos in the title has been corrected. Published in Phys.Rev.D

References in corpus (20)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• String Theory and Noncommutative Geometry
• Bound States Of Strings And $p$-Branes
• Noncommutative geometry inspired Schwarzschild black hole
• Wormholes supported by a phantom energy
• Morris-Thorne wormholes with a cosmological constant
• Feynman Path Integral on the Noncommutative Plane
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Noncommutative geometry inspired dirty black holes
• Solar system effects in Schwarzschild--de Sitter spacetime
• Thin shell wormholes in higher dimensiaonal Einstein-Maxwell theory
• Solar System Tests of Higher-Dimensional Gravity
• Secular increase of the Astronomical Unit and perihelion precessions as tests of the Dvali-Gabadadze-Porrati multi-dimensional braneworld scenario
• Newton's law in an effective non commutative space-time
• Galactic rotation curves inspired by a noncommutative-geometry background
• Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim
• Do Solar system tests permit higher dimensional general relativity?
• On the stability of thin-shell wormholes in noncommutative geometry
• Electromagnetic Mass in $(n+2)$ Dimensional Space-times

Cited by in corpus (42)

• Exact traversable wormhole solution in bumblebee gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Possibility of higher dimensional anisotropic compact star
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Ricci inverse gravity wormholes
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Nonommutative wormholes in $f(R)$ gravity
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• BTZ black holes inspired by noncommutative geometry
• Noncommutative geometry inspired wormholes with conformal motion
• Wormholes in f(R) gravity with a noncommutative-geometry background
• Traversable wormholes in $f(R)$-massive gravity
• Traversable wormhole models in $f(R)$ gravity
• Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Study of Static Wormhole Solutions in $F(T,T_{\mathcal{G}})$ Gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• Cardy-Verlinde Formula of Non-Commutative Schwarzschild Black Hole
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Traversable wormholes sustained by an extra spatial dimension
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• Macroscopic traversable wormholes with zero tidal forces inspired by noncommutative geometry
• Fluid sphere: stability problem and dimensional constraint
• Dynamics of test particles in thin-shell wormhole spacetimes
• Macroscopic wormholes in noncommutative geometry
• Strange star with Krori-Barua potential in presence of anisotropy
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity
• Charged gravastar model in noncommutative geometry under $f(\mathbb{T})$ gravity
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Accounting for the large radial tension in Morris-Thorne wormholes
• Thin-shell wormholes in de Rham-Gabadadze-Tolley massive gravity
• Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time
• Noncommutative-geometry inspired charged wormholes with low tidal forces
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Matter Geometry Coupling and Casimir Wormhole Geometry