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.

13 pages,23 figures, Accepted in European Physical Journal C

References in corpus (5)

• Searching for higher dimensional wormholes with noncommutative geometry
• Noncommutative Schwarzschild Black Hole and Area Law
• Energetics in Condensate Star and Wormholes
• Some new class of Chaplygin Wormholes
• Do Solar system tests permit higher dimensional general relativity?

Cited by in corpus (4)

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• Wormhole supported by dark energy admitting conformal motion
• 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