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

Abstract

In this paper we ask whether the wormhole solutions exist in different dimensional noncommutativityinspired 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.

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

“…Bhar and Rahaman [27] examined in GR whether the wormhole solutions exist in different dimensional noncommutative space-time with Lorentzian distribution. They found that wormhole solutions appear only for four and five dimensions but no solution exists for higher dimensions.…”

“…Using (14), (15), and (27) in (26), we achieve a complicated differential equation in terms of ( ) that cannot be handled analytically. So, we solve it numerically by choosing the corresponding parameters as 1 = 81, 2 = −0.0091, 3 = 12, and 4 = 32.…”

“…Using (18)- (20) and (27) in (31), we obtain a difficult equation for the first model. By applying numerical technique, we plot the graphs of the three above defined forces.…”

“…Recently, Bhar and Rahaman [27] considered Lorentzian distributed density function and examined the fact that wormhole solutions exist in different dimensional space-time with noncommutative geometry. They found that wormhole solutions can exist only in four and five dimensions but no wormhole solution exists for higher than five dimensions.…”

Wormhole supported by dark energy admitting conformal motion

“…The slope of b(r ) is positive up to r = 10.45, from which one concludes that the wormhole cannot be arbitrarily large. The same situation occurred in a previous work [37]. Moreover, we consider the energy conditions and the violation of the null energy condition (NEC) i.e., ρ + p r < 0, which is a necessary property for a static wormhole to exist.…”