Static Charged Fluid in (2+1)-Dimensions Admitting Conformal Killing Vectors

2015

Indian J Phys

When Morris and Thorne first proposed the possible existence of traversable wormholes, they adopted the following strategy: maintain complete control over the geometry, thereby leaving open the determination of the stress-energy tensor. In this paper we determine this tensor by starting with a noncommutative-geometry background and assuming that the static and spherically symmetric spacetime admits conformal motions. This had been established in a previous collaboration with Rahaman et al., using a slightly different approach. Accordingly, the main purpose of this paper is to show that the wormhole obtained can be made stable to linearized radial perturbations.

Section: Conformal Killing Vectorsmentioning

confidence: 98%

Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions

2015

Indian J Phys

“…The vector ξ characterizes the conformal symmetry since the metric tensor g µν is conformally mapped into itself along ξ. It is generally agreed that the assumption of conformal symmetry has proved to be fruitful in numerous ways, not only leading to new solutions but also to new geometric and kinematical insights [9,10,11,12,13,14,15]. Exact solutions of traversable wormholes admitting conformal motions are discussed in Ref.…”

Section: Conformal Killing Vectors and The Shape Functionmentioning

confidence: 99%

Stable phantom-energy wormholes admitting conformal motions

2017

Int. J. Mod. Phys. D

It has been argued that wormholes are as good a prediction of Einstein's theory as black holes but the theoretical construction requires a reverse strategy, specifying the desired geometric properties of the wormhole and leaving open the determination of the stress-energy tensor. We begin by confirming an earlier result by the author showing that a complete wormhole solution can be obtained by adopting the equation of state p = ωρ and assuming that the wormhole admits a one-parameter group of conformal motions. The main purpose of this paper is to use the assumption of conformal symmetry to show that the wormhole is stable to linearized radial perturbations whenever −1.5 < ω < −1.

“…This type of symmetry has proved to be effective in describing relativistic stellar-type objects [4,5]. Moreover, conformal symmetry has led to new solutions, as well as to new geometric and kinematical insights [6,7,8,9]. Two earlier studies assumed non-static conformal symmetry [3,10].…”

Section: Conformal Killing Vectorsmentioning

confidence: 99%

Conformal symmetry wormholes and the null energy condition

Journal of the Korean Physical Society

2017

In this paper we seek a relationship between the assumption of conformal symmetry and the exotic matter needed to hold a wormhole open. By starting with a MorrisThorne wormhole having a constant energy density, it is shown that the conformal factor provides the extra degree of freedom sufficient to account for the exotic matter. The same holds for Morris-Thorne wormholes in a noncommutative-geometry setting. Applied to thin shells, there would exist a radius that results in a wormhole with positive surface density and negative surface pressure and which violates the null energy condition on the thin shell.