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 (5)

• Non-commutative geometry inspired higher-dimensional charged, black holes
• Solar system effects in Schwarzschild--de Sitter spacetime
• Thin shell wormholes in higher dimensiaonal Einstein-Maxwell theory
• On the stability of thin-shell wormholes in noncommutative geometry
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• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• Traversable wormhole models in $f(R)$ gravity
• Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Strange star with Krori-Barua potential in presence of anisotropy
• Accounting for the large radial tension in Morris-Thorne wormholes
• Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time