Eur. Phys. J. C (2014) 74: 3213
https://doi.org/10.1140/epjc/s10052-014-3213-8

Regular Article - Theoretical Physics

Search of wormholes in different dimensional non-commutative inspired space-times with Lorentzian distribution

Department of Mathematics, Jadavpur University, Kolkata, 700 032, West Bengal, India

^* e-mail: farook_rahaman@yahoo.com
^** e-mail: rahaman@iucaa.ernet.in

Received: 6 October 2014
Accepted: 28 November 2014
Published online: 18 December 2014

Abstract

In this paper we ask whether the wormhole solutions exist in different dimensional noncommutativity-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 the Lorentzian distribution as the density function in the noncommutativity-inspired spacetime. We have observed that the wormhole solutions exist only in four and five dimensions; however, in higher than five dimensions no wormhole exists. For five dimensional spacetime, we get a wormhole for a restricted region. In the usual four dimensional spacetime, we get a stable wormhole which is asymptotically flat.