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

The European Physical Journal C

Piyali Bhar¹  Farook Rahaman¹ 

[1] Department of Mathematics, Jadavpur University, 700 032, Kolkata, West Bengal, India;

关键词: Shape Function;    Linearize Stability Analysis;    Dimensional Spacetime;    Null Energy Condition;    Einstein Field Equation;   

DOI  :  10.1140/epjc/s10052-014-3213-8

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY