Abstract
In this article, we study the possibility of sustaining a static and spherically symmetric traversable wormhole geometries admitting conformal motion in Einstein gravity, which presents a more systematic approach to search a relation between matter and geometry. In wormhole physics, the presence of exotic matter is a fundamental ingredient and we show that this exotic source can be dark energy type which support the existence of wormhole spacetimes. In this work we model a wormhole supported by dark energy which admits conformal motion. We also discuss the possibility of detection of wormholes in the outer regions of galactic halos by means of gravitational lensing. The studies of the total gravitational energy for the exotic matter inside a static wormhole configuration are also done.
Highlights
Recent astronomical observations have confirmed that the universe is undergoing a phase of accelerated expansion which was conformed by the measurements of supernovae of type Ia (SNe Ia) and the cosmic microwave background anisotropy [3,4,5]
The outline of the present paper is as follows: in Sect. 2 we give a brief outline of the conformal Killing vectors for a spherically symmetric metric, while in Sect. 3 we present the structural equation of phantom energy traversable wormholes and discuss the physical properties of our solution in the outer region of the halo by recalling the movement of a test particles
We investigated some of the characteristics needed to support a traversable wormhole specific exotic form of dark energy, denoted phantom energy, admitting a conformal motion of Killing vectors
Summary
Recent astronomical observations have confirmed that the universe is undergoing a phase of accelerated expansion which was conformed by the measurements of supernovae of type Ia (SNe Ia) and the cosmic microwave background anisotropy [3,4,5]. Gravitational lensing (GL) is a very useful tool of probing a number of interesting phenomena of the universe It can provide us with rich information as regards the structure of compact astrophysical objects like e.g., black holes, exotic matter, super-dense neutron stars, wormholes etc. The possibility of the detection of traversable wormholes in noncommutative-geometry is studied by Kuhfittig [31] in the outer regions of galactic halos by means of gravitational lensing. One of the aims of the current paper is to study the effect of the lensing phenomenon for the wormhole solutions in the presence of exotic matter such as phantom fields admitting conformal motion. 3 we present the structural equation of phantom energy traversable wormholes and discuss the physical properties of our solution in the outer region of the halo by recalling the movement of a test particles.
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