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
Accepted: 28 November 2014
Published online: 18 December 2014
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2014